AN ABSTRACT OF THE DISSERTATION OF

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1 AN ABSTRACT OF THE DISSERTATION OF Grace M. Golden for the degree of Doctor of Philosophy in Nutrition and Exercise Sc...

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AN ABSTRACT OF THE DISSERTATION OF

Grace M. Golden for the degree of Doctor of Philosophy in Nutrition and Exercise Sciences presented on May 3, 2007. Title: Investigation of the Biomechanics of Running and Rapid Change-of-Direction Tasks Abstract approved: Mark A. Hoffman,

Michael J. Pavol

Rapid change-of-direction tasks have been associated with non-contact anterior cruciate ligament (ACL) injuries and females are more likely to suffer this injury compared to males. The purpose of this investigation was to evaluate the biomechanical behavior of running and three rapid change-of-direction tasks and determine whether sex differences exist across tasks. The biomechanical factors included knee and hip kinematics and kinetics, in addition to static lower extremity alignment and dynamic hip strength. Data were collected in a controlled laboratory setting on healthy collegiate female and male basketball and soccer players (N = 21). Three-dimensional kinematics and kinetics were recorded in conditions of running, lateral false step, sidestep cut, and a combination of a lateral false step with a sidestep cut. Static lower extremity alignment was represented by measurement of standing Q-angle. Hip strength was determined by measuring isokinetic eccentric hip abduction strength. Three queries were addressed: 1.) sex differences in the kinetics and kinematics of the knee and hip during running and rapid change-of-direction tasks, 2.) the effect of sex on relationships of standing Q-angle and hip strength to frontal plane knee biomechanics, and 3.) description of the patterning of knee and hip biomechanics across tasks and sex. The results of this study suggest knee abduction and internal moments of knee adduction and hip abduction increase when athletes step laterally in combination with a sidestep cut compared to all other tasks. Females demonstrate differences in hip position and loading compared to males across the four tasks. The data did not support evidence of an effect of sex on standing Q-angle or hip abduction strength. Additionally, no relationships between sex, standing Q-angle, or hip abduction strength to frontal plane knee biomechanics were found. Four patterns of knee and hip kinematics and kinetics were found to describe lower extremity biomechancis during running and rapid change-of direction tasks. In summary, the addition of frontal plane motion and loading during change-of-direction tasks significantly affected

knee position in a manner associated with ACL injury. Differences in lower extremity kinematics and kinetics between females and males appear to be specific to hip position and loading.

©Copyright by Grace M. Golden May 3, 2007 All Rights Reserved

Investigation of the Biomechanics of Running and Rapid Change-of-Direction Tasks by Grace M. Golden

A DISSERTATION submitted to Oregon State University

in partial fulfillment of the requirements for the degree of Doctor of Philosophy

Presented May 3, 2007 Commencement June 2007

Doctor of Philosophy dissertation of Grace M. Golden Presented on May 3, 2007 APPROVED:

Co-Major Professor, representing Exercise and Sport Science

Co-Major Professor, representing Exercise and Sport Science

Chair of the Department of Nutrition and Exercise Sciences

Dean of the Graduate School

I understand that my dissertation will become part of the permanent collection of Oregon State University libraries. My signature below authorizes release of my dissertation to any reader upon request.

Grace M. Golden, Author

ACKNOWLEDGEMENTS

The author expresses sincere appreciation to: Mark A. Hoffman, Michael J. Pavol, Louis R. Osternig, Rod A. Harter, for their enduring guidance, mentoring, and patience through my adventures in further education and during this entire process of trying to find answers to some of life’s interesting questions.

My best cheers to Kim Hannigan-Downs, Sam Johnson, and Kristin Lage for their wonderful friendshipsyour input, insight, and motivation inspires me to be a perpetual student of life and its lessons…….

Brian and Amy and the boys…..my time in Corvallis allowed me to find very good friends- perhaps one of the best gifts of all through this entire process.

Lastly, thanks and love to my family and friends for their unconditional support throughout my life, teaching me to enjoy all the adventures along the way.

CONTRIBUTION OF AUTHORS Dr. Mark A. Hoffman assisted with study design, statistical analysis, interpretation, and writing of the manuscripts. Dr. Michael J. Pavol assisted with study design, biomechanical program design and analysis, data collection, interpretation and writing of the manuscripts.

TABLE OF CONTENTS Page 1

General Introduction……………………………………………....

1

2

Sex differences in kinematics and kinetics of the knee and hip during running and rapid change-of-direction tasks……….

6

2.1 Introduction………………………………………………….

7

2.2 Methods………………………………………………………

11

2.3 Results………………………………………………………..

15

2.4 Discussion…………………………………………………….

16

2.5 References…………………………………………………….

28

Relationship of static lower extremity alignment and hip strength to frontal plane knee position and loading during running and rapid change-of-direction tasks.........................

30

3.1 Introduction…………………………………………………..

31

3.2 Methods……………………………………………………….

34

3.3 Results………………………………………………………...

39

3.4 Discussion…………………………………………………….

40

3.5 References…………………………………………………….

48

Patterns of lower extremity kinematic and kinetic measures for females and males during running and rapid change-of-direction tasks………………………………………………………………..

51

4.1 Introduction…………………………………………………...

52

4.2 Methods……………………………………………………….

54

4.3 Results………………………………………………………...

58

4.4 Discussion…………………………………………………….

60

4.5 References……………………………………………………..

68

General Conclusion………………………………………………...

70

Bibliography…………………………………………………………….

74

Appendices……………………………………………………………...

81

3

4

5

Appendix A Literature Review ………………………………… Appendix B Health History Questionnaire………………………..

82 107

TABLE OF CONTENTS (Continued) Page Appendix C Informed Consent Document………………..…….... Appendix D Cooperating Institution Letter of Approval………… Appendix E Statistical Analysis Output …….……………………

110 114 115

LIST OF FIGURES Figure

Page

1. Laboratory set-up for data collection of running (RUN), lateral false step (LFS), sidestep cutting (SSC) and combination of lateral false step-sidestep cutting (LFS-SSC) maneuvers. ……………………………………………………….21 2. Ensemble-average joint angles for knee rotations: flexion-extension (a = females, b = males), abduction-adduction (c = females, d = males), internal-external rotation (e = females, f = males) during stance phase for running (RUN), a lateral false step (LFS), sidestep cutting (SSC) and a combination of lateral false step-sidestep cutting (LFS-SSC)………….22 3. Ensemble-average internal joint moments for knee rotations: flexion-extension (a = females, b = males), abduction-adduction (c = females, d = males), internal-external rotation (e = females, f = males) during stance phase for RUN, LFS, SSC and LFS-SSC…………..23 4. Ensemble-average joint angles for hip rotations: abduction-adduction (a = females, b = males), internal-external rotation (c = females, d = males) during stance phase for RUN, LFS, SSC and LFS-SSC..................24 5. Ensemble-average internal joint moments for hip rotations: abduction-adduction (a = females, b = males), internal-external rotation (c = females, d = males) during stance phase for RUN, LFS, SSC and LFS-SSC.………………………………………………..25

LIST OF TABLES Table

Page

1.1 Condition-based comparisons of knee and hip angles and moments………………………………………………………………………26 1.2 Sex-based differences in knee and hip angles and moments…………………27 2.1 Sex-based comparisons of standing Q-angle, hip abduction strength, and hip angle of peak torque development…..……………………………….45 2.2 Relationship between standing Q-angle, sex, interaction of standing Q-angle and sex, with peak knee position and loading……………………….46 2.1 Relationship between eccentric hip strength, sex, interaction of hip strength and sex, with peak knee position and loading……………………….47 3.1 Pattern matrix for four factors describing lower extremity kinematics and kinetics during running and change-of-direction tasks…… …………...66 3.2 Comparison of kinematic and kinetic factor scores across running and change-of-direction tasks……………………………………………………...67

GENERAL INTRODUCTION Anterior cruciate ligament (ACL) injuries continue to have a significant impact on competitive athletes. Athletes participating in sports requiring jump landings and rapid stopping or changes in direction are more susceptible to non-contact ACL rupture than a contact related injury.3, 15, 26, 45, 46, 97 These behaviors are common in the sports of basketball and soccer and injury statistics provide conclusive evidence that females are more likely to suffer an ACL injury than males.1, 5 For these reasons, researchers are motivated to understand how the ACL is injured and why there is a sex bias. The at-risk knee position for ACL injury is one of internal rotation and abduction when the knee is near full extension.15 This clinically observed knee position has also been shown to increase loading on the ACL during in situ studies of the cadaver model.84, 85, 125 One primary area of research of at-risk maneuvers believed to cause this dangerous knee position is the investigation of sidestep cutting. Sidestep cutting represents a powerful plant and cut maneuver in which the athlete abruptly changes direction 30-90 degrees from the original path of travel. Although controlled biomechanical studies are designed to measure the biomechanical behavior of the lower extremity without inducing ACL injury, investigators are still able to determine if knee positions and loading factors similar to the proposed mechanism of injury are possible during sidestep cutting tasks. There is support for arguments of sagittal and frontal plane loading as being culpable in the ACL injury mechanism during sidestep cutting tasks.28 It seems prudent to consider that a relationship exists between the two loading mechanisms, in addition to a possible role of transverse plane loading. Due to the complex nature of ACL injury, a multi-factorial approach to quantifying precipitating factors to the ACL mechanism of injury and differences between females and males has been adopted.28, 86, 87

This approach considers anatomical, hormonal, neuromuscular, and biomechanical issues. This study

was designed to determine if there are direct relationships between anatomical and neuromuscular factors and measurements of biomechanical behavior during running and rapid change-of-direction tasks. At the same time, control of potential contributing hormonal influences was included in the study design. Typically, anatomical factors are considered non-modifiable and represent characteristics such as ACL structure (volume, cross-sectional area, mass, loading behavior)20, 67, 130, lower extremity alignment (Q angle, foot pronation)18, 77, and joint configuration.2, 21 Q-angle is known to differ between males and

2 females59 and the general belief is individuals with a larger Q-angle may be more susceptible to ACL injury.60, 94, 100 There is scant evidence that athletes with a larger Q-angle will also display greater knee abduction position during dynamic tasks. In one study, researchers did not find a relationship between Qangle and knee abduction during a single leg squat.105 Recent studies have reported Q angle is affected by quadriceps muscle strength and potentially changeable. This leads to the possibility of Q-angle also being affected by muscular strength of the hip musculature, i.e. the hip abductors, which affect femur position due to their anatomical attachments. Although knee abduction has been found to be related to strength of the hip abductors during a jump landing task64, there has not been an investigation of the relationship between hip abduction strength and frontal plane position of the knee during sidestep cutting tasks. One focus of this study was to determine if hip abduction strength and a standing measure of Q-angle were related to frontal plane knee and hip position during change of direction tasks. Hormonal influences are directly related to the presence of systemic concentrations of estrogen, progesterone, and testosterone. Estrogen is believed to affect the mechanical properties of the ACL ligament in addition to reducing ACL cellular metabolism.75, 76, 132, 133 Females experience greater fluctuations in estrogen and progesterone concentrations compared to males due to the cyclical effects of the menstrual cycle. Estrogen and progesterone concentrations are the lowest during menses and reach peak levels near ovulation. At this time, is not clear if ACL laxity changes as a direct result of changes in hormone concentrations or if females are more susceptible to injury at different times across the menstrual cycle.11, 50, 116 In order to control for the potential effect of the menstrual cycle and variability in hormone concentrations for females, the period of time in which data was collected in this study was standardized to be during the follicular phase for female subjects. Neuromuscular factors include muscular strength and recruitment patterns during dynamic tasks. Coordination of muscular actions enhances joint stability and position during these tasks. With regards to ACL loading and knee position, the primary muscles of interest have been the quadriceps and hamstrings. The quadriceps muscle is believed to be antagonist to the ACL, meaning forceful contraction will increase strain on the ACL, whereas the hamstrings are protective of the ACL. Consideration of muscles indirectly affecting the knee is also warranted. Proximal muscles at the hip, while directly influencing hip motion, may secondarily affect knee position due to their contribution to controlling the position of the femur in the

3 frontal, sagittal, and transverse planes. Specifically, the hip abductors contribute to frontal plane and transverse plane motion at the hip, causing femur abduction and rotation.31 To date, the effect of sex on neuromuscular factors is unclear. Although females have been reported to have a quadriceps dominant recruitment pattern during jump landings and sidestep cutting tasks by some researchers 52, 55, 82, others have not found the same evidence of differences in thigh muscle activation patterns between males and females.34 What is not known is whether activation patterns and overall strength of hip musculature have a direct effect on knee position and loading patterns during athletic maneuvers. One objective of this study was to determine if there are differences in hip abduction strength between females and males, and if athletes with less hip abduction strength demonstrate greater frontal and transverse plane angles and loading at the knee. Biomechanical behavior of females and males during rapid change of direction tasks has not been found to conclusively differ. Knee abduction has been reported to be a predictor of ACL injury in females during jump landing tasks54, yet the role of knee abduction as a predictor during sidestep cutting tasks is less clear. Although differences between females and males in frontal plane hip and knee position have been found during running35, the evidence is less clear during sidestep cutting tasks. There is lack of agreement as to whether knee kinetics and kinematics differ between males and females during sidestep cutting tasks.92, 95, 107, 119 Currently, investigators are considering what influence hip position and loading has on knee position during these tasks in order to better understand the ACL injury mechanism. One study found females exhibit less peak hip abduction compared to males during sidestep cutting tasks.107 It is possible one reason investigators have not been able to identify how the sidestep cutting maneuver is directly associated with ACL injury is due to constraints adopted during study design. One contributing factor worthy of consideration is whether directing the plant leg during a sidestep cutting maneuver in a direction opposite of the intended change of direction results in a more dangerous knee position than sidestep cutting alone. Stepping laterally with a single step within a running stride has been termed a lateral false step43 and conceivably the lateral false step can be performed as a rapid change-of-direction task by itself or in combination with a sidestep cutting task. To date, there has not been a direct comparison of sidestep cutting to a combination of a sidestep cut and a lateral false step. To evaluate these potential differences, this study was designed to directly compare knee and hip position and loading patterns during

4 sidestep cutting and a combination of the two techniques. Additionally, comparisons of lower extremity kinematic and kinetic behavior across normal running and a lateral false step alone were included in the study design. This investigation was designed to not only compare peak joint angles and moments of the knee and hip in the frontal and transverse planes, but also determine if patterns of lower extremity position and loading are different between the tasks and if females and males exhibit differences in these patterns. This study was designed to measure anatomical and biomechanical factors related to ACL injury, at the same time, controlling for potential hormonal influences. A 3-dimensional motion analysis system was used to measure lower extremity kinematics and kinetics during running and three rapid change of direction tasks: 1.) lateral false step, 2.) sidestep cut, and 3.) combination of the lateral false step and sidestep cut). Additionally, measurement of static lower extremity alignment (standing Q-angle) and peak eccentric hip abduction strength was performed. Potential hormonal influences on biomechanical and strength behaviors were controlled for females by collecting data during a specific phase of the menstrual cycle. The purpose of this study was several-fold. First, comparison of standing Q-angle, hip abduction strength and position of peak torque production during eccentric hip abduction in collegiate female and males athletes was performed. The hypothesis was that differences in standing Q-angle and hip strength (normalized to body height and body weight) would be found between males and females. Secondly, determination of relationships to standing Q-angle and hip abduction strength between knee and hip position and loading patterns during running and rapid change of direction tasks was conducted. The expectation was that athletes demonstrating greater standing Q-angles and weaker hip abduction strength would exhibit greater frontal plane knee and hip peak positions and loading during running and change of direction tasks. The next objective was to compare peak knee and hip kinematic and kinetic measures between conditions of running, a lateral false step maneuver, sidestep cutting and a combination of a sidestep cut with a lateral false step. The central hypothesis was that a combination of the lateral false step with the sidestep cutting maneuver would result in greater frontal and transverse plane knee and hip loading and positions which are believed to increase loading of the ACL in a manner consistent with the proposed mechanism of injury. Additionally, females were expected to demonstrate different lower extremity alignment and loading patterns compared to males. The expectation was that outcomes of this study would

5 help to better understand the mechanism of ACL injury during rapid change of direction tasks and why females are more susceptible to this injury.

6

Sex differences in kinematics and kinetics of the knee and hip during running and rapid change-of-direction tasks

Grace M. Golden, Michael J. Pavol, Mark A. Hoffman

7 INTRODUCTION The disproportionate incidence of non-contact anterior cruciate ligament (ACL) injuries between males and females continues to be an enigma. Non-contact injury mechanisms account for 70-78% of all ACL ruptures in the athletic population4, 25, with female soccer and basketball players 2-4 times more likely to suffer ACL injury than males in matched sports.1, 3 Non-contact ACL injury is most often associated with a sudden deceleration, such as occurs with abrupt stopping12, 25, double- or single-leg jump landing12, 25

, or a rapid change of direction2, 4, 5, i.e. cutting. These injuries are generally believed to occur near foot

contact when the knee is relatively extended, internally rotated, and abducted.15 This is consistent with the in situ findings that the ACL is loaded when the knee is relatively extended (0-30º) and subjected to internal rotation and abduction external torques.18, 19, 32 Therefore, researchers have attempted to determine whether these combinations of knee positions and loadings occur during high risk athletic maneuvers and whether females exhibit them to greater extent than males. It remains unclear whether sex differences in knee kinematics and kinetics exist for rapid changeof-direction tasks, such as sidestep cutting (SSC). Investigators have determined females demonstrate greater knee abduction17, 21 and less internal rotation22 and knee flexion17, 22 compared to males in SSC tasks. However, equally persuasive investigations have not established a sex difference in knee kinematics for SSC tasks.26, 30 Intuitively, sex differences in knee loading patterns should exist in the presence of differences in knee kinematics. Researchers have reported such a relationship, with females experiencing greater external knee moments in abduction20, 21 and smaller external knee moments in internal rotation20 compared to males during SSC tasks. Similarly, Sigward and Powers30 found females demonstrate greater peak external moments in abduction compared to males, despite no differences in knee kinematics. Conversely, Pollard et al.26 did not detect any sex differences in knee kinetics or kinematics during SSC tasks. The lack of consensus on sex differences in knee position and loading between females and males may be attributable to subtle differences in how the SSC tasks are conducted across studies. Recently, investigators have considered what role hip kinematics and kinetics play in contributing to knee position and loading patterns with regard to ACL injury mechanisms during sidestep cutting. McLean et al.22 suggest that increased hip internal rotation in addition to increased knee abduction is related to the amount of knee adduction loading (external knee abduction moments). While these

8 researchers found females to display greater hip internal rotation and knee abduction in the presence of greater knee adduction moments compared to males during sidestep cutting, these sex differences are not consistent across studies. Pollard et al. 27 found females exhibit less peak hip abduction than males without an effect of sex on knee kinematics and kinetics or internal hip rotation. Based upon the conflicting results of these studies, it is not clear if transverse or frontal plane hip kinematics contribute to knee adduction loading. Therefore, further investigation is warranted. Knee abduction has been advocated as a dominant risk factor for ACL injury for females in jump landing and cutting maneuvers.14, 22 However, the relationship between knee rotation and ACL injury in vivo remains unclear with respect to SSC tasks. While differences in knee rotation between females and males have been found, peak values are within the passive range of motion limits of the knee.22 Similarly, the relative contribution of sagittal plane loading on the ACL remains controversial. Females have been found to achieve maximum knee flexion earlier than males in SSC tasks24 suggesting males may spend more time controlling loading through the sagittal plane as compared to females. However, it is not clear whether females perform dynamic tasks with less knee flexion. Malinzak et al.17 determined females demonstrate less knee flexion than males during running and SSC tasks. McLean et al.24 found overall flexion-extension range of motion to be similar between males and females and in a follow-up study McLean et al.20 concluded sagittal plane loading during a sidestep cutting task was insufficient to load the ACL in isolation but may indirectly contribute to the injury mechanism due to its potential influence on frontal plane knee kinematics and kinetics. This is in agreement with researchers who reported a combination of anterior tibial force and external valgus moment to be dangerous in a relatively extended knee.18 DeMorat et al.8 investigated simulated in vivo quadriceps contractions at the knee and concluded that aggressive quadriceps loading (4500N) when the knee is in slight flexion (20º) produces significant anterior tibial translation and ACL injury. This supports the hypothesis of sagittal plane loading with intrinsic muscular forces playing an important role in ACL strain. The major limitation to this finding is whether athletes can generate such large quadriceps forces at relatively low knee flexion angles. In light of these differing premises, it seems most appropriate to consider a combination of sagittal, frontal, and transverse positions and loading behavior as culpable in ACL injury.

9 It is plausible the SSC task, as currently defined and investigated, is not entirely representative of the high risk movement associated with the change-of-direction tasks exhibited when the ACL is reported to be injured, and this may in part explain discrepancies in study outcomes. Other variations of the SSC may provide a more ecological representation of the maneuvers used to alter running or change direction by athletes and therefore be sensitive enough to elicit differences in lower extremity kinematics and kinetics which may help to explain how the ACL is injured when changing directions. Typically, the SSC task is investigated as a pure change of direction occurring at 35-55 degrees from the original path of travel.10, 17, 20, 21, 26, 30

Specifically, the athlete performs a run-to-cut maneuver in which straight ahead running is

interrupted by a powerful acceleration into a different direction by the stance limb. However, athletes routinely display movement behaviors which are similarly patterned after this maneuver, but may be different enough to affect knee position and loading during the redirection. One such variation of the SSC is a lateral false step (LFS). A LFS is performed by stepping laterally with one step during a running stride, and then continuing to run forward in the original direction of travel. The length of this LFS may differ across athletes. Previously, the LFS of 20 and 35% of body height has been found to significantly affect knee kinematics and kinetics when compared to running.11 Similarly, the LFS can be performed in combination with a SSC (LFS-SSC). In this case, the SSC is initiated by stepping laterally, away from the final intended change of direction, as part of the cutting maneuver. The LFS-SSC includes a false step into a direction in which the athlete does not intend to continue to run and may serve to increase the deception associated with the change of direction in order to gain advantage over the opponent. Constraining the rapid change-of-direction maneuver to a pure SSC may ignore different strategies athletes use to redirect running in agility dependent sports. Since athletes utilize different movement techniques to rapidly change direction while running, investigation of variations in sidestep cutting may be helpful in determining how these task differences affect knee and hip position and loading patterns. Specifically, investigation of normal running (RUN), a lateral false step maneuver (LFS), sidestep cutting (SSC), and a combination of the LFS and SSC can serve to aid our understanding of which movement patterns are potentially more dangerous for the ACL. The LFS represents a laterally directed step within a running stride, followed immediately by a step back to the original direction of travel and a continuation of running straight ahead in the original direction of travel.

10 The combination of the LFS and SSC is characterized by a SSC in which the stance limb first performs a LFS to the side opposite the direction of the cut. It is not known: 1.) whether the LFS maneuver differs from the SSC task with regards to peak knee and hip angles and moments, 2.) whether the combination of a LFS and SSC results in more deleterious knee and hip loading and positions than either maneuver alone, or 3.) whether sex differences in knee and hip kinematics and kinetics exist between these tasks. This study was designed to systematically investigate variations of a SSC maneuver and further clarify the presence of sex differences in knee and hip kinematics and kinetics and the potential for differences in ACL loading between the tasks. Therefore, the purpose of this study was to compare the 3dimensional hip and knee kinematics and joint moments in collegiate athletes during conditions of normal running and three change-of-direction tasks. The first hypothesis was that female basketball and soccer athletes would exhibit greater knee abduction and internal rotation, and greater hip adduction and internal rotation compared to males from matched sports across all tasks. Secondly, it was hypothesized that females would exhibit greater internal joint moments of knee adduction and external rotation and hip abduction and external rotation compared to males across all tasks. Lastly, it was theorized that significant differences in knee and hip kinematics and kinetics would exist across running and change-of-direction tasks. All comparisons were constrained to a period in stance phase from initial contact to 30º of knee flexion.

11 METHODS Twenty-one subjects (11 females: 19.8 ± 1.5 yrs, 175.8 ± 6.3 cm, 69.9 ± 6.6 kg; 10 males: 20.7 ± 2.5 yrs, 188.6 ± 15.9 cm, 89.8 ± 21.7 kg) , basketball and soccer athletes from four college and university programs, were enrolled in the study. During initial screening, subjects completed demographic and health history questionnaires. Exclusion criteria included a past history of any reconstructive surgical procedure for the treatment of a lower extremity injury within the past twelve month period. All subjects were required to have an intact ACL. They could not be currently receiving supervised medical care for an injury to the upper or lower extremity preventing their participation in regular conditioning or practice sessions nor could they have suffered an injury to the lower extremity resulting in time loss from participation exceeding three weeks within the past six months. Additionally, female subjects were screened for a regular menstrual cycle (28-32 days28, 29) for the past 3 months and participated in the testing session within 1-9 days of the start of menses, i.e. the follicular phase (6.5 ± 1.8 days). All participants were of equivalent sport experience (females: 8.45 ± 1.97 yrs, males: 7.00 ± 1.76 yrs; p > 0.05) and participating in either off-season conditioning (basketball) or a non-traditional competitive season (soccer). Recruitment and participation of subjects was approved by a University Institutional Review Board for the Protection of Human Subjects and all subjects provided informed consent prior to participation. Kinematic and kinetic data acquisition were performed with a Vicon 612 optical motion capture system utilizing 9 high-resolution MCam2 digital cameras (Vicon, Lake Forest, CA), interfaced with two Bertec Model 4060-08 force plates (Bertec, Columbus, OH) that were configured to function as a single force plate. Sixteen markers (9mm diameter) were affixed bilaterally on the lower extremity with double sided tape in order to identify body segment positions during static and dynamic trails. A customized marker set, based upon the work of Vaughan et al.31 was utilized for this study (5th metatarsal, heel, ankle, tibia, knee, thigh, anterior superior iliac spine, and posterior superior iliac spine). Kinematic data were collected at 120Hz and kinetic data were collected throughout foot contact at 1080 Hz. Figure 1 illustrates the laboratory set up for the running and change-of-direction tasks. In order to identify the path of travel for RUN and SSC conditions, yellow tape was affixed to the floor in a line crossing the center of the force plate. A second, parallel, blue tape line was placed on the floor, crossing the left corner of the force plate to indicate the path of travel for the LFS and LFS-SSC conditions. A

12 divergent tape line, originating from the force plates, was placed at an angle of 45º to the left of the other lines to identify the pathway for subjects to successfully perform the SSC and LFS-SSC change-ofdirection maneuvers. Colored adhesive tape was applied on the force plate to indicate a distance of 30% of body height for LFS and LFS-SSC conditions. This distance was measured perpendicularly to the right from the center point of the tape line crossing the left corner of the force plate. Cameras were positioned so each marker was visible by multiple cameras when the right foot was in contact with the force plate. Each trial consisted of a running a distance of approximately 10m from start to finish. On the day of testing, subjects reported to the testing laboratory. Height (cm) was measured (with shoes on) with a wall mounted stadiometer. Weight (lbs) was recorded with a floor scale and later converted to kg. Next, subjects performed a 5 minute warm-up by running on a treadmill (2.5-3.1 m·s-1). During this time, adhesive tape was applied to the force platform at a location indicating a distance equivalent to 30% of body height from the line of travel for the LFS and LFS-SSC conditions. After the warm-up period, subjects were allowed 3-5 practice trials for each of the running and change-of-direction tasks in the order or RUN, LFS, SSC, LFS-SSC. These practice trials enabled researchers to determine the most effective starting location so that the running stride prior to force plate contact was fluid and consistent, and improved subject familiarization with the specific tasks. Throughout the practice and testing trials, the speed of the subject was monitored through the use of timing lights placed 1.5 m to the rear and front of the force plates, at a total distance of 3 m apart. Trials were considered acceptable when speed equated to 3.5 m·s-1 ± 10% (3.15 - 3.85 m·s-1). Recovery was accommodated by having subjects walk back to the starting location between each trial. Verbal instructions for running speed and technique were standardized for all subjects. Subjects were directed to perform all trials without a reduction of speed into the RUN, LFS, SSC, and LFS-SSC maneuvers, discouraging leaping or hesitating prior to force plate contact. Testing trials were discarded if the subject made foot contact on the force plates with the left foot, failed to make contact with the force plates with the entire right foot, missed the LFS and LFS-SSC tape mark on the force plate, initiated the LFS or LFS-SSC maneuver by crossing the left foot to the right of the directional guide placed on the floor, or completed the SSC or LFS-SSC cut outside a range of 45º ± 10º. Colored tape was placed on the floor to indicate the boundaries of 35-55º.

13 Following familiarization of running and change-of-direction tasks, markers were affixed to the subjects. Each subject wore form fitting spandex shorts of a dark color and a pair of their own team-issued running shoes for data acquisition trials. Foot markers were placed on the outside of the running shoe. A static trial was collected for calibration of segmental orientation, with the subject positioned in anatomical neutral (arms at 90º abduction) while standing on the force plates. Ten successful trials were recorded for each of the four conditions in the order of: RUN, LFS, SSC, and LFS-SSC. During each trial, kinematic and kinetic data were measured for the subject’s right limb throughout contact with the force plate during stance phase. Subsequent to the completion of all running and change-of-direction trials, foot length (shoe length) and pelvis, knee, and ankle width were measured with a joint anthropometer (Lafayette Instrument Company, Lafayette, IN). Three measurements were obtained for each measurement by the same researcher and averaged for data analysis. All data were collected in a single testing session. Three degrees of freedom were assigned to the major joints of interest, with the corresponding rotations of flexion-extension, abduction-adduction, and internal-external rotation for the hip, knee, and ankle joints. Raw data for all dynamic trials were used to determine the three-dimensional paths of the markers and cubic spline interpolation was performed to fill small gaps (less then 50ms) with Vicon Workstation software. Kinematic data were filtered using a fourth-order zero-lag Butterworth low-pass filter with a cut-off frequency of 16Hz, as determined through a residual analysis.33 Marker positions from the static, standing trial and anthropometric measures were used to establish a set of transformations for determining joint center locations and body segment orientations. These transformations were used to determine the paths of the joint centers and the orientations of the body segments over the entire stance phase of running. From these, the joint angles (degrees) at the stance knee and hip were determined by the convention of Grood and Suntay.13 Knee internal rotation angles during the static trial were defined to be zero. The computed kinematics were also combined with the force plate data to determine the internal joint moments acting at the knee and hip during stance using 3-dimensional inverse dynamics methods. Segmental inertial parameters were determined as outlined by de Leva for female and male data.6 Joint moments were expressed with respect to the joint axes of rotation. Joint moments (Nmm) were normalized to body height (mm) and body weight (N) and reported as a percentage of body height (bh) and body weight (bw). A customized Matlab program (Student version 7, Mathworks, Natick, MA) was created to

14 extract peak joint angles and moments from initial contact to 30º of knee flexion during stance for all dynamic trials. An average of the peak values from the ten trials of each condition by each subject was used for statistical analysis. Ensemble-average curves of the joint angles and moments were created and normalized to 100% of stance for each subject and condition, and these were then ensemble-averaged across subjects for each condition. In constructing the ensemble-average curves, cubic spline interpolation was used to determine the values at each % of stance. Separate two-way repeated measures ANOVA’s (2 x 4) were used to analyze the effect of sex and the four conditions on: 1.) peak knee angles of abduction and internal rotation, 2.) peak knee moments of extension, adduction, and external rotation, 3.) peak hip angles of adduction and internal rotation, and 4.) peak hip moments of abduction and external rotation. Post hoc comparisons between the four conditions were conducted utilizing the Tukey’s HSD test. The level of significance was set at α = 0.05. (SPSS software, version 13.0, Chicago, IL).

15 RESULTS There were no significant interactions between sex and condition for any of the peak knee and hip angles and moments analyzed over the initial part of stance, i.e., with the knee flexed less than 30° (p > 0.05). The effects of condition thus did not differ between sexes, nor did the effects of sex differ between conditions. The analysis revealed a main effect of condition on peak knee abduction, hip adduction, and hip internal rotation angles over the initial part of stance (p < 0.001; Table 1). Post hoc analysis showed all three change-of-direction tasks resulted in greater peak knee abduction and lesser peak hip adduction than RUN (p < 0.05). In addition, the combined LFS-SSC task produced greater peak knee abduction and lesser peak hip adduction than did either the LFS or SSC alone (p < 0.05). In contrast to RUN, the hip was abducted throughout the initial part of stance for each of the change-of-direction tasks. Both the SSC and LFS-SSC tasks involved greater peak hip internal rotation than RUN and the LFS-SSC task also exhibited greater peak hip internal rotation than LFS (p < 0.05). Ensemble-average curves for position data for the entire stance phase demonstrate the differences in knee abduction (Figure 2) and hip adduction and internal rotation (Figure 4) across conditions. There was a significant main effect of condition on peak knee adduction, hip abduction, and hip external rotation moments over the initial part of stance (p < 0.001; Table 1). All three change-of-direction tasks involved greater peak knee adduction moments than RUN and the combined LFS-SSC task resulted in greater peak knee adduction moments than either LFS or SSC alone (p < 0.05). In addition, the LFSSSC task involved lesser peak hip abduction and greater hip external rotation moments than RUN and LFS (p < 0.05). Ensemble-average curves across the entire stance phase for moment data demonstrate the differences in knee adduction (Figure 3) and hip adduction and external rotation moments (Figure 5) across tasks. Sex differences were present for peak hip adduction angle (p = 0.04) and peak hip external rotation moment (p = 0.02) over the initial part of stance. Females demonstrated greater peak hip adduction angles (or lesser minimum hip abduction angles) and smaller hip external rotation moments than males (Table 2). Otherwise, there were no differences between males and females for any of the other peak angles and moments analyzed.

16 DISCUSSION The results of this study support the premise that lower extremity biomechanics significantly differ between running and change-of-direction tasks. In addition, these data provide evidence of differences in kinematics and kinetics between alternative methods used to change direction. One primary movement associated with ACL injury when changing direction has been the sidestep cutting maneuver. Our results indicate variations of this maneuver may be associated with similar or more dangerous frontal plane joint alignment and loading when compared to sidestep cutting. The peak knee abduction values observed during this study confirm sidestep cutting increases knee abduction compared to running. However, contrary to the work of Ferber et al.9, we did not detect differences in knee abduction during running between females and males. Researchers suggest knee abduction is one of the precipitating factors of ACL injury during sidestep cutting.21 While our sidestep cutting results differ from McLean et al.24, who reported that females perform sidestep cutting tasks with more knee abduction than males, they were in agreement with the results of Sigward et al.30 and Pollard et al.26 Our data provide evidence that stepping laterally in combination with the sidestep cut will result in greater knee abduction than sidestep cutting alone. McLean et al.23 have suggested the knee abduction associated with sidestep cutting may not be of sufficient magnitude to directly elicit a non-contact ACL injury. Our results suggest augmenting the frontal plane component of a sidestep cut with the addition of a lateral step increases knee abduction, possibly explaining how athletes are at risk of increased ACL loading when changing direction with this type of technique. The lack of effect of task on knee internal rotation was consistent with previous investigations in which running, sidestep cutting, and cross-over cutting have been examined.17 Based upon observation of our ensemble-average curves and peak angle data, the knee was internally rotated during early and midstance in all of the tasks. This is appears to be consistent with the known relationship between knee flexion and internal rotation as part of the reversal of the screw-home mechanism. It is also possible the observed internal rotation is also a product of the combination of increasing knee flexion and adduction during early stance. These results differ from those of McLean et al23, who reported periods of absolute knee external rotation at foot contact during sidestep cutting. These inconsistencies between studies may be due to differences in how anatomical neutral was defined in the static trials during data collection or due to the

17 characteristics of the sample populations. In situ studies have shown knee abduction and internal rotation increase ACL forces, particularly in the presence of smaller knee flexion angles.18, 19 The lack of differences in internal rotation across sex and task does not lend a useful explanation of how internal rotation contributes to ACL loading during these dynamic tasks. It appears combining a lateral false step with a sidestep cut increases knee abduction, but not internal rotation, and may be a predictor of ACL injury during certain change-of-direction tasks. Pollard et al.26 were the first to investigate hip kinematics during sidestep cutting tasks and found females demonstrated greater hip adduction when compared to males. In addition, females have been found to display greater hip adduction during running compared to males.9 Our results indicate hip adduction is significantly different during running and change-of-direction tasks and between females and males. It appears the amount of hip adduction associated with the task depends upon lateral placement of the foot such that the LFS and LFS-SSC maneuvers results in less hip adduction than running. In fact, the LFS-SSC maneuver results in less hip adduction than both the LFS and SSC tasks. Females demonstrated greater hip adduction compared to males, when collapsed across all four tasks. Frontal plane hip moments also differed across tasks with the LFS-SSC maneuver resulting in greater hip abduction moments compared to the RUN and LFS tasks. However, increased hip adduction angle for females was not concomitant with increased hip abduction moments compared to males. Females may rely on similar hip muscle activation patterns to males, but in a manner insufficient to control hip adduction. Differences in frontal plane hip position and loading between running and sidestep cutting tasks were expected; however, the lateral false step also appears to have a significant effect on frontal plane hip position and loading with respect to task and sex. Our data did not support the presence of differences between females and males with respect to hip internal rotation; however, our results provide evidence that hip rotation differs across tasks. Both the SSC and LFS-SSC maneuvers resulted in greater internal hip rotation compared to the LFS and RUN tasks. While it may be that the amount of internal hip rotation is related to actually changing direction by 45º, the increases seen in the LFS-SSC compared to SSC may be the result of increasing the lateral placement of the foot. Hip external rotation moments were found to differ across tasks with the LFS-SSC resulting ingreater transverse plane hip loading when compared to RUN and LFS tasks. The lack of differences in

18 hip external rotation moments between SSC and LFS-SSC tasks may be related to the similarities in hip internal rotation between these two tasks. Interestingly, females were found to demonstrate smaller hip external rotation moments compared to males. In may be the resulting differences in hip external rotation moments between females and males during the tasks in this study reflect variations in the contribution of the hip abductors to transverse and frontal plane loading of the hip as a function of sex. Females may rely on hip abductors to contribute more to the production of hip abduction moments than external rotation moments, thus explaining why there was an effect of sex on transverse plane hip loading but not frontal plane hip loading. It has been suggested increasing internal knee adduction moments (external moments of knee abduction) may increase loading on the ACL during sidestep cutting. 21, 30 The presence of sex differences in knee frontal plane loading would in part provide explanation for why females are at greater risk of ACL injury compared to males. Although females have been found to have larger knee adduction moments compared to males for sidestep cutting tasks 21, 30 and running9 our results did not support the presence of sex differences for knee adduction moments for running or any of the change-of-direction tasks. While it is not known how much knee adduction loading is necessary to disrupt the ACL in vitro, it may be that a specific population of athletes displays greater frontal plane loading at the knee when compared to others. Identifying the amount of frontal plane loading necessary to sufficiently injure the ACL in vivo and then determining the group of athletes with a propensity towards this amount of loading, may better help to identify those at risk of ACL injury. Performing a lateral false step while running straight ahead significantly increased knee adduction moments during the initial part of stance. Our results also indicate the laterally directed step has a cumulative effect on frontal plane knee loading, as the LFS-SSC maneuver was associated with the greatest amount of knee adduction loading compared to all other tasks. Lloyd and Buchanan16 have suggested noncontractile soft tissue structures are primarily responsible for providing support during abduction-adduction loading at the knee. Based upon our results, it appears the LFS-SSC maneuver increases loading on passive knee structures more than either sidestep cutting or a lateral false step maneuver. When considering that the ACL has been found to undergo greater loading under the application of external abduction torques18, 19, we may conclude the ACL is at greater risk of injury during the LFS-SSC maneuver when compared to

19 other change-of-direction tasks. Although we did not measure instances in which the ACL was actually injured, it is possible frontal plane knee loading may be more important in contributing to ACL injury than sagittal and transverse plane loading, as we did not detect differences in knee extension or external rotation moments across the tasks (Table 1). While we did not find differences between females and males with respect to frontal plane hip loading, our results indicate males demonstrate greater hip external rotation moments than females in the initial part of stance during dynamic tasks. The differences in hip external rotation moments between females and males suggest males engage the hip extensors to a greater extent than females. The gluteus maximus muscle has been reported to function as a hip external rotator in addition to a hip extensor.7 The demonstration of reduced hip external rotation moments for females across all tasks may indicate that either weakness of the gluteus maximus or an alternative recruitment pattern will result in a decreased ability to control the hip when running or changing direction compared to males. Perhaps a reduction in the control of transverse plane hip motion should be considered as a factor contributing to increased ACL injury risk. The purpose of performing a sidestep cutting maneuver is to avoid an opponent and to transition between two distinct directions of travel when running. In order to produce an effective evasive movement, the athlete must perform the cutting maneuver powerfully to accelerate away from the opponent. Alternatively, increasing the deception associated with the sidestep cutting maneuver may also provide an advantage to the athlete, allowing for acceleration past their opponent. The addition of a lateral false step with a sidestep cut may be an effective means to facilitate deception. Notably, not only does the LFS contribute to greater knee and hip abduction compared to running, the effects on lower extremity loading are not significantly different than those for SSC. Our results further indicate that the addition of the laterally directed step in combination with the sidestep cut may be a significant factor with respect to frontal and transverse plane loading of the knee and hip respectively. In effect, increasing frontal plane motion at the onset of the sidestep cut may place the knee and hip in positions in which greater ACL loading may occur. We do not propose to discourage athletes from utilizing the lateral false step in combination with the sidestep cut, but suggest further investigations should determine why and to what extent this behavior is adopted by some athletes. Is it simply a matter of optimizing the outcomes of performing the maneuver, or that some athletes use the addition of frontal plane loading to increase how

20 quickly and powerfully the maneuver can be performed if they cannot control sagittal plane deceleration effectively? In the presence of weak stabilizers through the transverse and frontal planes, this movement may increase the likelihood of knee injury. One of the limitations to investigations of lower extremity biomechanics is related to the variability associated with transverse plane knee kinematics and kinetics. Although the approach taken to measuring these variables was similar to those of other researchers during three-dimensional analysis of movement, this may be one reason we were unable to detect differences in peak knee internal rotation and peak knee external rotation moments. Additionally, one explanation of dissimilarities in our findings with respect to frontal plane knee kinetics and kinematics when compared to other investigations may be the speed range used in the current study. Subjects in this study performed all trials at an average speed of 3.5 m/s, whereas the other researchers have adopted a speed parameter of 5.5-7.0 m/s. It may be differences between females and males in frontal plane knee position and loading during change-of-direction tasks only emerge at fast movement speeds. It also stands to reason we lacked sufficient power to detect small differences in knee biomechanics between males and females with only twenty-one subjects participating in this study. In conclusion, variations of the sidestep cutting maneuver can produce equal or greater knee abduction angles and knee adduction moments than sidestep cutting in isolation. Frontal plane loading of the knee appears to be increased while frontal plane loading of the hip appears to be decreased when the athlete steps in a direction away from the intended change of direction in combination with the sidestep cut. The LFS appears to result in similar knee abduction and hip adduction positions in addition to similar knee adduction loading to those of sidestep cutting. Therefore, it is reasonable to further study this maneuver and consider its relationship to ACL injury. Females demonstrate significant differences in hip position and loading during running and change-of-direction tasks compared to males. The presence of increased hip adduction and reduced external rotation moments for females during change-of-direction tasks suggests differences in proximal control at the hip may help to explain why females are more susceptible to ACL injury than males. Further studies are necessary in order to determine what causative factors are associated with these differences in proximal control for females and what benefits might be associated with performing a change of direction with a laterally directed step in combination with a sidestep cut.

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26 TABLE 1 Condition-based comparisons of knee and hip angles and momentsa Condition Variable RUN LFS SSC LFS-SSC P-value Peak Angle Knee abduction 3.62 ± 0.52 5.57 ± 0.54c 6.12 ± 0.50c 7.07 ± 0.53cde < 0.001 Knee internal rotation 7.44 ± 1.25 8.36 ± 1.39 8.79 ± 1.55 9.44 ± 1.50 0.26 Hip adductionb 7.26 ± 0.51 -7.86 ± 0.76c - 5.67 ± 0.87c -16.62 ± 0.80cde < 0.001 Hip internal rotationb - 4.15 ± 1.06 - 3.12 ± 1.64 0.41 ± 1.55c 1.03 ± 1.92cd < 0.001 Peak Moment Knee extension 5.40 ± 0.53 4.71 ± 0.57 5.64 ± 0.94 5.02 ± 0.68 0.48 Knee adduction 0.13 ± 0.12 1.16 ± 0.18 c 2.04 ± 0.22c 3.93 ± 0.06cde < 0.001 Knee external rotation 0.13 ± 0.03 0.21 ± 0.03 0.10 ± 0.04 0.17 ± 0.07 0.25 < 0.001 Hip abduction 5.50 ± 0.50 5.81 ± 0.80 4.30 ± 0.83 2.74 ± 0.76cd Hip external rotationb - 0.16 ± 0.06 0.05 ± 0.11 0.56 ± 0.11 1.31 ± 0.17cd < 0.001 a Values represent mean ± SD (N = 21) of knee and hip peak joint angles (º) and internal moments (%bw x bh) from initial contact to 30º of knee flexion during stance phase, collapsed across sex, for each of the four running and change-of-direction tasks (running = RUN, lateral false step = LFS, sidestep cutting = SSC, and combination of lateral false step and sidestep cutting = LFS-SSC). bw = body weight; bh = body height b negative values indicate that the joint angle or moment did not cross zero in the corresponding direction. c significantly different than RUN (Tukey’s HSD p < 0.05) d significantly different than LFS (Tukey’s HSD p < 0.05) e significantly different than SSC (Tukey’s HSD p < 0.05)

27

TABLE 2 Sex-based differences in knee and hip angles and momentsa Sex Variable Females Males P-value Peak Angle Knee abduction 6.09 ± 0.67 5.10 ± 0.70 0.32 Knee internal rotation 9.95 ± 1.78 7.06 ± 1.87 0.19 Hip adduction -3.74 ± 0.83 -7.70 ± 0.82 0.04 Hip internal rotation 0.53 ± 1.88 2.39 ± 1.97 0.50 Peak Moment Knee extension 4.92 ± 0.80 5.47 ±0.84 0.64 Knee adduction 1.60 ± 0.24 1.90 ± 0.26 0.42 Knee external rotation 0.19 ± 0.04 0.12 ± 0.04 0.22 Hip abduction 4.86 ± 0.86 4.31 ± 0.90 0.67 Hip external rotation 0.22 ± 0.12 0.66 ± 0.13 0.02 a Values represent mean ± SD (Females = 11, Males = 10) of knee and hip peak joint angles (º) and internal moments (%bw x bh), collapsed across condition, from initial contact to 30º of knee flexion during stance phase for females and males. bw = body weight; bh = body height b negative values indicate that the joint angle or moment did not cross zero in the corresponding direction.

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Agel J, Arendt EA, Bershadsky B. Anterior cruciate ligament injury in national collegiate athletic association basketball and soccer: a 13-year review. Am J Sports Med. 2005;33(4):524-530.PMID: 15722283 Provider: OCLC Andrews JR, McLeod WD, Ward T, Howard K. The cutting mechanism. Am J Sports Med. 1977;5(3):111-121.PMID: 860773 Provider: OCLC Arendt E, Dick R. Knee injury patterns among men and women in collegiate basketball and soccer. NCAA data and review of literature. Am J Sports Med. Nov-Dec 1995;23(6):694701.8600737 Boden BP, Dean GS, Feagin JA, Jr., Garrett WE, Jr. Mechanisms of anterior cruciate ligament injury. Orthopedics. Jun 2000;23(6):573-578.PMID: 10875418; Medline: 20331673 Provider: OCLC Cross MJ, Gibbs NJ, Bryant GJ. An analysis of the sidestep cutting manoeuvre. The American journal of sports medicine. May-Jun 1989;17(3):363-366.PMID: 2729486; Medline: 89270834 Provider: OCLC de Leva P. Adjustments to Zatsiorsky-Seluyanov's segment inertia parameters. J Biomech. 1996;29(9):1223-1230.PMID: 8872282 Provider: OCLC Delp SL, Hess WE, Hungerford DS, Jones LC. Variation of rotation moment arms with hip flexion. J Biomech. 1999;32(5):493-501.PMID: 10327003 Provider: OCLC DeMorat G, Weinhold P, Blackburn T, Chudik S, Garrett W. Aggressive quadriceps loading can induce noncontact anterior cruciate ligament injury. Am J Sports Med. Mar 2004;32(2):477483.PMID: 14977677 Provider: OCLC Ferber R, Davis IM, Williams DS. Gender differences in lower extremity mechanics during running. Clin Biomech. 2003;18:350-357.PMID: 12689785 Provider: OCLC Ford KR, Myer GD, Toms HE, Hewett TE. Gender differences in the kinematics of unanticipated cutting in young athletes. Med Sci Sports Exerc. 2005;37:124-129.PMID: 15632678 Provider: OCLC Golden GM. The effect of altering the width of a single step of a running stride on knee joint kinematics and kinetics [In Lieu of Thesis, unpublished manuscript]. Corvallis: Nutrition and Exercise Sciences, Oregon State University; 2005. Griffin LY, Agel J, Albohm MJ, Arendt EA, Dick RW, Garrett WE, Garrick JG, Hewett TE, Huston L, Ireland ML, Johnson RJ, Kibler WB, Lephart S, Lewis JL, Lindenfeld TN, Mandelbaum BR, Marchak P, Teitz CC, Wojtys EM. Noncontact anterior cruciate ligament injuries: risk factors and prevention strategies. The Journal of the American Academy of Orthopaedic Surgeons. May-Jun 2000;8(3):141-150.PMID: 10874221; Medline: 20334910 Provider: OCLC Grood ES, Suntay WJ. A joint coordinate system for the clinical description of three-dimensional motions: application to the knee. J Biomech Eng. 1983;105(2):136-144.PMID: 6865355 Provider: OCLC Hewett TE, Myer GD, Ford KR, Heidt RS, Jr., Colosimo AJ, McLean SG, van den Bogert AJ, Paterno MV, Succop P. Biomechanical measures of neuromuscular control and valgus loading of the knee predict anterior cruciate ligament injury risk in female athletes: a prospective study. Am J Sports Med. 2005 2005;33(4):492-501.PMID: 15722287 Provider: OCLC Kirkendall DT, Garrett WE. The anterior cruciate ligament enigma. Injury mechanisms and prevention. Clinical orthopaedics and related research. 2000;372:64-68.PMID: 10738415 Provider: OCLC Lloyd DG, Buchanan TS. A model of load sharing between muscles and soft tissues at the human knee during static tasks. J Biomech Eng. Aug 1996;118(3):367-376.PMID: 8872259 Provider: OCLC Malinzak RA, Colby SM, Kirkendall DT, Yu B, Garrett WE. A comparison of knee joint motion patterns between men and women in selected athletic tasks. Clinical biomechanics. Jun 2001;16(5):438-445.PMID: 11390052; Medline: 21285965 Provider: OCLC

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Markolf KL, Burchfield DM, Shapiro MM, Shepard MF, Finerman GA, J.l. S. Combined knee loading states that generate high anterior cruciate ligament forces. Orhop Res. Society. 1995;13:930-935.PMID: 8544031 Provider: OCLC Markolf KL, Gorek JF, Kabo JM, Shapiro MS. Direct measurement of resultant forces in the anterior cruciate ligament. An in vitro study performed with a new experimental technique. J Bone Joint Surg Am). 1990;72:557-567.PMID: 2324143 Provider: OCLC McLean SG, Huang X, Su A, Van Den Bogert AJ. Sagittal plane biomechanics cannot injure the ACL during sidestep cutting. Clin Biomech. 2004;19(8): 828-838.PMID: 15342155 Provider: OCLC McLean SG, Huang X, van den Bogert AJ. Association between lower extremity posture at contact and peak knee valgus moment during sidestepping: implications for ACL injury. Clin Biomech. 2005;20(8):863-870.PMID: 16005555 Provider: OCLC McLean SG, Lipfert SW, van den Bogert AJ. Effect of gender and defensive opponent on the biomechanics of sidestep cutting. 2004.PMID: 15179171 Provider: OCLC McLean SG, Myers PT, Neal RJ, Walters MR. A quantitative analysis of knee joint kinematics during the sidestep cutting maneuver. Implications for non-contact anterior cruciate ligament injury. Bull Hosp Jt Dis. 1998;57(1):30-38.PMID: 9553700 Provider: OCLC McLean SG, Neal RJ, Myers PT, Walters MR. Knee joint kinematics during the sidestep cutting maneuver: potential for injury in women. Med Sci Sports Exerc. 1999;31(7):959-968.PMID: 10416556 Provider: OCLC McNair PJ, Marshall RN, Matheson JA. Important features associated with acute anterior cruciate ligament injury. The New Zealand medical journal. Nov 14 1990;103(901):537-539.PMID: 2243642; Medline: 91056954 Provider: OCLC Pollard CD, Davis IM, Hamill J. Influence of gender on hip and knee mechanics during a randomly cued cutting maneuver. Clin Biomech. 2004;19(10):1022-1031.PMID: 15531052 Provider: OCLC Powers CM. The Influence of Altered Lower-Extremity Kinematics on Patellofemoral Joint Dysfunction: A Theoretical Perspective. J Orthop Sports Phys Ther. 2003;33:693-646 Romani W, Patrie J, Curl LA, Flaws JA. The correlations between estradiol, estrone, estriol, progesterone, and sex hormone-binding globulin and anterior cruciate ligament stiffness in healthy, active females. J Womens Health. 2003;12(3):287-298.PMID: 12804359 Provider: OCLC Shultz SJ, Kirk SE, Johnson ML, Sander TC, Perrin DH. Relationship between sex hormones and anterior knee laxity across the menstrual cycle. Med Sci Sports Exerc. 2004;36(7):11651174.PMID: 15235320 Provider: OCLC Sigward SM, Powers CM. The influence of gender on knee kinematics, kinetics and muscle activation patterns during side-step cutting. Clin Biomech. 2006;21:41-48.PMID: 16209900 Provider: OCLC Vaughan CL, Davis, B. L., O'Conner, J. C. Dynamics of Human Gait. 2nd ed. Cape Town, South Africa: Kiboho Publishers; 1999. Wascher DC, Markolf KL, Shapiro MS, Finerman GA. Direct in vitro measurement of forces in the cruciate ligaments. Part I: The effect of multiplane loading in the intact knee. J Bone Joint Surg Am. 1993;75:377-386.PMID: 8444916 Provider: OCLC Winter DA. Biomechanics and motor control of human movement. Second ed. Toronto: WileyInterscience; 1990.

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Relationship of static lower extremity alignment and hip strength to frontal plane knee position and loading during running and rapid change-of-direction tasks

Grace M. Golden, Michael J. Pavol, Mark A. Hoffman

31 INTRODUCTION The prevalence and consequences of non-contact anterior cruciate ligament (ACL) injuries in the athletic population motivate researchers to determine which risk factors predispose individuals to ACL disruption. Each year, an estimated 1 in 3000 individuals sustains an ACL injury in the United States21, with approximately 50,000 ACL reconstructions performed annually.11 At the collegiate level of athletic competition, 32% of knee injuries in the sports of basketball and soccer involve ACL injury.3 Additionally, the gender bias, in which females are more likely to suffer this injury than males1, 3, continues to elude comprehensive explanation. Regardless of sex or sport, the consequences of ACL injury are significant, including costs associated with surgical reconstruction and management, time loss from participation, and long term sequelae, as Maletius and Messner28 report that over 80% of individuals who suffer ACL injury will develop knee osteoarthritis. High risk maneuvers in which the ACL is susceptible to injury include rapid changes of direction2, , abrupt stopping15, 31, and single- or double-leg jump landings15, 31. The deleterious knee position

4

associated with these maneuvers is characterized by internal rotation and abduction when the knee is relatively extended.25 Intrinsic injury risk factors may be related to ACL geometry and structural properties, femoral notch width, body mass index, lower extremity alignment (i.e. Q-angle), and hormonal differences.16, 21, 38 Inasmuch as some intrinsic risk factors can be identified but not prophylactically modified (e.g. ACL geometry, femoral notch width), others such as lower extremity alignment offer potential for screening and intervention. The notion of a relationship between Q-angle and frontal plane knee position during dynamic tasks is inviting, as clinicians can efficiently perform measurement of static limb alignment. Differences in lower extremity static posture between males and females have been reported, however, its relationship to dynamic knee and hip positions is still unclear. Quadriceps angle (Q-angle) represents one appraisal of lower extremity alignment and is measured as the angle created by two bisecting lines: 1.) from midpoint of the patella to the anterior superior iliac spine and 2.) from the midpoint of the tibial tuberosity to the midpoint of the patella. Females have been found to have a greater Q-angle compared to males.20 Individuals with symptomatic knee pain have also been found to have bilateral asymmetries in Q-angle which may thus be a predictor of patellofemoral knee pain.32 Skeletal contributions

32 to differences in Q-angle are not clearly understood, however. Powers36 suggests increased knee abduction augments Q-angle as a result of a combination of increased femoral adduction, tibial abduction, and femoral internal rotation. This combination of segmental alignment may affect patella displacement relative to the anterior superior iliac spine and tibial tuberosity. Quadriceps strength has a direct effect on patella position, supported by the research of Byl et. al5, who found an inverse relationship between knee extensor torque and Q-angle. However, to date, there has not been exploration of the relationship between hip strength and Q-angle. Ireland22 asserts that muscular action at the hip affects the knee, particularly for the female athlete. In fact, improving hip abductor strength has been shown to have a positive effect in reducing iliotibial band syndrome in runners12 This may be due to the primary and secondary roles of the gluteus medius at the hip. Mansour and Pereira29 determined that the anterior and middle fibers of the gluteus medius function as hip abductors during portions of the gait cycle and additionally, the anterior fibers produce an internal rotation moment when the hip is flexed. The middle and posterior portions of the gluteus medius were found to produce an external hip rotation moment when the hip was relatively extended. Similarly, Delp et. al10 determined that four different portions of the gluteus medius have internal rotation moment arms when hip flexion position increases from 0-90º. This supports the role of the gluteus medius not only as a hip abductor, but as a controller of hip rotation and therefore potentially important in affecting frontal plane knee position. Specifically, strengthening of the gluteus medius muscle may improve frontal and transverse plane position of the femur which will directly influence Q-angle. Despite intriguing support of the influence of hip strength on lower extremity alignment, the relationship between Q-angle and dynamic alignment of the limb is tenuous. While Pantano et al.34 did not find association between Q-angle and dynamic alignment of the limb during a single-leg squat, others have suggested that static Q-angle contributes to the predictability of knee abduction position during single-leg landings.16 Recently, in an investigation of eccentric hip abductor strength and knee joint kinematics during jump landing tasks, Jacobs and Mattacola23 found a significant inverse relationship between female peak eccentric hip strength and peak knee abduction angle, even in the absence of differences between male and female peak eccentric hip abduction strength (normalized to body weight). Specifically, females demonstrating larger eccentric peak torques were found to have lower peak knee abduction angles during landings. In a similar investigation, researchers found a mild relationship between isometric hip abduction

33 strength and knee abduction during jump landings for females, but not males.24 What is not known is whether hip strength has a direct relationship with static lower extremity alignment and dynamic limb alignments in the frontal plane during change-of-direction tasks. More study is needed to solidify this potential relationship during rapid change-of-direction tasks in addition to determining whether hip strength is related to frontal plane knee position. Therefore, the purpose of this study was several-fold. The first purpose was to compare standing Q-angle, hip abduction strength, and the position of peak torque production during eccentric hip abduction in collegiate female and male athletes. The second was to determine whether either standing Q-angle or hip abduction strength is related to frontal plane peak knee position and loading during running and rapid change-of-direction tasks. The subjects in this study had previously been found to have no sex-related differences in peak knee abduction or knee adduction moments during the same running and change-ofdirection tasks represented in this current investigation.14 The rapid change-of-direction tasks of interest in this study included a lateral false step maneuver (LFS), sidestep cutting (SSC), and a combination of a lateral false step maneuver and sidestep cutting (LFS-SSC). The LFS maneuver represented a step within a running stride directed laterally at a specific percentage of body height (30%), followed by an immediate return to the original running path.13 Sidestep cutting involved redirecting the direction of travel abruptly at an angle of 45º.30, 35, 40 The combination of the two maneuvers resulted when the step preceding the sidestep cut was exaggerated away from the change of direction by 30% of body height. The first hypothesis was that female basketball and soccer athletes would exhibit greater standing Q-angles and lesser hip abduction strength (normalized to body weight) compared to males from matched sports. Additionally, it was expected there would be no differences between males and females in the angle at which the peak torque was produced. Secondly, it was hypothesized that athletes demonstrating greater standing Q-angle measurements would also exhibit greater peak knee abduction during running and rapid change-ofdirection tasks. Finally, it was theorized that athletes having greater eccentric hip abduction strength would have reduced internal peak knee adduction moments during running and rapid change-of-direction tasks. All comparisons of peak knee kinematics and kinetics were constrained to the initial portion of stance in which the knee was in less than 30º of flexion.

34 METHODS Twenty-one subjects (11 females: 19.8 ± 1.5 yrs, 175.8 ± 6.3 cm, 69.9 ± 6.6 kg; 10 males: 20.7 ± 2.5 yrs, 188.6 ± 15.9 cm, 89.8 ± 21.7 kg) , basketball and soccer athletes from four college and university programs, were enrolled in the study. During initial screening, subjects completed demographic and health history questionnaires. Exclusion criteria included a past history of any reconstructive surgical procedure for the treatment of a lower extremity injury within the past twelve month period. All subjects were required to have an intact ACL. Subjects also could not be currently receiving supervised medical care for an injury to the upper or lower extremity preventing their participation in regular conditioning or practice sessions nor could they have suffered an injury to the lower extremity resulting in time loss from participation exceeding three weeks within the past six months. Additionally, female subjects were screened for a regular menstrual cycle (28-32 days37, 39) for the past 3 months and participated in the testing session within 1-9 days of the start of menses, i.e. the follicular phase (6.5 ± 1.8 days). All participants were of equivalent sport experience (females: 8.45 ± 1.97 yrs, males: 7.00 ± 1.76 yrs; p > 0.05) and participating in either off-season conditioning (basketball) or a non-traditional competitive season (soccer). Recruitment and participation of subjects was approved by a University Institutional Review Board for the Protection of Human Subjects and all subjects provided informed consent prior to participation. Standing Q-angle was measured with a plastic goniometer on the right limb. Subjects were barefoot and positioned in the Rhomberg position (medial malloeli touching, standing with relaxed quadriceps).5 The center of the patella, middle of the tibial tuberosity and anterior superior iliac spine (ASIS) were identified and marked with a felt pen. The fulcrum of the goniometer was placed at the patella midpoint and the moving and stationary arms of the goniometer were aligned with the ASIS and tibial tuberosity respectively. Three measurements were taken and the average used for analysis. Intertester reliability for measurement of standing Q-angle was determined from a preliminary study (N = 6) and found to be excellent (ICC2,1 r = 0.93) Eccentric hip abduction strength data were collected for the right limb with a Biodex System 3 isokinetic dynamometer (Biodex Medical Systems, Shirley, NY), interfaced with a Biopac MP100 Data Collection system (Biopac Systems, Inc., Goleta, CA). Torque and corresponding hip angle data from the dynamometer were stored and processed on a desktop computer with Acqknowledge Waveform Analysis

35 Software (Version 3.7). Eccentric hip abduction strength was measured in a standing position with the axis of rotation of the dynamometer positioned at the ASIS. Threshold torque was established at 272Nm for all subjects. Subjects performed 2 sets of 5 repetitions. The first set was designated as a practice set and was followed by a 2 minute rest period before completion of the test set. Eccentric abduction strength was measured from a starting position of 30º of hip abduction to a final position of 0º of hip abduction at a velocity of 120º/sec. The measured torque for each test trial was smoothed and the peak torque was extracted. Peak torque was then normalized to subject’s body mass and body height (Nm/kg/m) The angle of peak torque development was determined from the measured hip torque and angle data in the test set for eccentric hip strength, utilizing “the find peak” function in the Acqknowledge Waveform Analysis Software. Kinematic and kinetic data acquisition during running and change-of-direction tasks were performed with a Vicon 612 optical motion capture system utilizing 9 high-resolution MCam2 digital cameras (Vicon, Lake Forest, CA), interfaced with two Bertec Model 4060-08 force plates (Bertec, Columbus, OH) that were configured to function as a single force plate. Sixteen markers (9mm diameter) were affixed bilaterally on the lower extremity with double sided tape in order to identify body segment positions during static and dynamic trails. A customized marker set, based upon the work of Vaughan et al.41 was utilized for this study (5th metatarsal, heel, ankle, tibia, knee, thigh, anterior superior iliac spine, and posterior superior iliac spine). Kinematic data were collected at 120Hz and kinetic data were collected throughout foot contact at 1080 Hz. Figure 1 illustrates the laboratory set up for the running and change-of-direction tasks. In order to identify the path of travel for RUN and SSC conditions, yellow tape was affixed to the floor in a line crossing the center of the force plate. A second, parallel, blue tape line was placed on the floor, crossing the left corner of the force plate to indicate the path of travel for the LFS and LFS-SSC conditions. A divergent tape line, originating from the force plates, was placed at an angle of 45º to the left of the other lines to identify the pathway for subjects to successfully perform the SSC and LFS-SSC change-ofdirection maneuvers. Colored adhesive tape was applied on the force plate to indicate a distance of 30% of body height for LFS and LFS-SSC conditions. This distance was measured perpendicularly to the right from the center point of the tape line crossing the left corner of the force plate. Cameras were positioned so

36 each marker was visible by multiple cameras when the right foot was in contact with the force plate. Each trial consisted of a running a distance of approximately 10m from start to finish. On the day of testing, subjects reported to the testing laboratory. Height (cm) was measured (with shoes on) with a wall mounted stadiometer. Weight (lbs) was recorded with a floor scale and later converted to kg. After measurement of SQA, subjects performed a 5 minute warm-up by running on a treadmill (2.5-3.1 m·s-1). During this time, adhesive tape was applied to the force platform at a location indicating a distance equivalent to 30% of body height from the line of travel for the LFS and LFS-SSC conditions. After the warm-up period, measurements of standing Q-angle were obtained. Next, subjects were allowed 3-5 practice trials for each of the running and change-of-direction tasks in the order or RUN, LFS, SSC, LFS-SSC. These practice trials enabled researchers to determine the most effective starting location so that the running stride prior to force plate contact was fluid and consistent, and improved subject familiarization with the specific tasks. Throughout the practice and testing trials, the speed of the subject was monitored through the use of timing lights placed 1.5 m to the rear and front of the force plates, at a total distance of 3 m apart. Trials were considered acceptable when speed equated to 3.5 m·s-1 ± 10% (3.15 - 3.85 m·s-1). Recovery was accommodated by having subjects walk back to the starting location between each trial. Verbal instructions for running speed and technique were standardized for all subjects. Subjects were directed to perform all trials without a reduction of speed into the RUN, LFS, SSC, and LFS-SSC maneuvers, discouraging leaping or hesitating prior to force plate contact. Testing trials were discarded if the subject made foot contact on the force plates with the left foot, failed to make contact with the force plates with the entire right foot, missed the LFS and LFS-SSC tape mark on the force plate, initiated the LFS or LFS-SSC maneuver by crossing the left foot to the right of the directional guide placed on the floor, or completed the SSC or LFS-SSC cut outside a range of 45º ± 10º. Colored tape was placed on the floor to indicate the boundaries of 35-55º. Following familiarization of running and change-of-direction tasks, markers were affixed to the subjects. Each subject wore form-fitting spandex shorts of a dark color and a pair of their own team-issued running shoes for data acquisition trials. Foot markers were placed on the outside of the running shoe. A static trial was collected for calibration of segmental orientation, with the subject positioned in anatomical

37 neutral (arms at 90º abduction) while standing on the force plates. Ten successful trials were recorded for each of the four conditions in the order of: RUN, LFS, SSC, and LFS-SSC. During each trial, kinematic and kinetic data were measured for the subject’s right limb throughout contact with the force plate during stance phase. Subsequent to the completion of all running and change-of-direction trials, foot length (shoe length) and pelvis, knee, and ankle width were measured with a joint anthropometer (Lafayette Instrument Company, Lafayette, IN). Three measurements were obtained for each measurement by the same researcher and averaged for data analysis. Testing of eccentric hip abduction strength was conducted after acquisition of three-dimensional kinematics and kinetics. All data were collected in a single testing session. Three degrees of freedom were assigned to the major joints of interest with the corresponding rotations of flexion-extension, abduction-adduction, and internal-external rotation for the hip, knee, and ankle joints. Raw data for all dynamic trials were used to determine the three-dimensional paths of the markers and cubic spline interpolation was performed to fill small gaps (less then 50ms) with Vicon Workstation software. Kinematic data were filtered using a fourth-order zero-lag Butterworth low-pass filter with a cut-off frequency of 16Hz, as determined through a residual analysis.43 Marker positions from the static, standing trial and anthropometric measures were used to establish a set of transformations for determining joint center locations and body segment orientations. These transformations were used to determine the paths of the joint centers and the orientations of the body segments over the entire stance phase of running. From these, the joint angles (degrees) at the stance knee were determined by the convention of Grood and Suntay17. Knee internal rotation angles during the static trial were defined to be zero. The computed kinematics were also combined with the force plate data to determine the internal joint moments acting at the knee during stance using 3-dimensional inverse dynamics methods. Segmental inertial parameters were determined as outlined by de Leva for female and male data.9 Joint moments were expressed with respect to the joint rotation axes. Joint moments (Nmm) were normalized to body height (mm) and body weight (N) and reported as a percentage of body height (bh) and body weight (bw). A customized Matlab program (Student version 7, Mathworks, Natick, MA) was created to extract peak joint angles and moments from initial contact to 30º of knee flexion during stance for all dynamic trials. An

38 average of the peak values from the ten trials of each condition by each subject was used for statistical analysis. Independent t-tests were used to analyze differences between females and males for standing Qangle (SQA; º), peak eccentric hip abduction strength (ECC; Nm/(kg·m)), and the angle of peak torque production (POS, º). Separate linear regression analyses were used to determine the following relationships for each of the four running and change-of-direction tasks 1.) peak knee abduction angle as a function of SQA, sex, and their interaction, 2.) peak knee adduction moment as a function of SQA, sex, and their interaction , 3.) peak knee abduction angle as a function of ECC, sex, and their interaction, and 4.) peak knee adduction moment as a function of ECC, sex, and their interaction. For all statistical analyses, an a priori alpha level of 0.05 was used to test for statistical significance. Analysis was performed with SPSS software (version 13.0, Chicago, IL).

39 RESULTS There was no evidence of significant differences in SQA (p = 0.16), ECC (p = 0.44), or POS for the production of peak torque (p = 0.78) between female and male basketball and soccer players (Table 1). Peak knee abduction angle in the initial part of stance was not found to be associated with SQA. sex, or the interaction between sex and standing Q-angle for the conditions of RUN, SSC, or LFS-SSC (Table 2). Although the regression model for peak knee abduction angle as a function of SQA, sex, and their interaction was found to be significant (p = 0.03), none of the explanatory variables were found to be statistically significant (SQA, p = 0.33; sex, p = 0.23; sex x SQA, p = 0.90). Peak knee adduction moment in the initial part of stance was not found to have a significant relationship with SQA, sex, or the interaction between sex and SQA for any of the four conditions (Table 2). Peak knee abduction angle in the initial part of stance was found to have a significant relationship with peak eccentric hip abduction strength, sex, and their interaction for the LFS condition (p = 0.01). Individually, neither hip strength nor sex contributed significantly to this relationship, however the interaction between sex and hip strength approached significance (p = 0.05). Peak knee abduction angles and peak knee adduction moments in the initial part of stance were not found to be associated with peak eccentric hip abduction strength, sex, or their interaction for the conditions of RUN, SSC, or LFS-SSC (Table 3).

40 DISCUSSION Our results for standing Q-angle did not confirm the existence of differences between males and females. Although females in this study demonstrated a standing Q-angle of 2º more than males, the difference was not significantly different. The standing Q-angle across males and females in this study were similar to values reported by Byl et al.5 but on average were 5.45º lower than data of other investigators.19, 20, 34, 44 Other researchers have reported sex differences of 3.3-4.6º 19, 20, 44. It may be that the athletes used in this study represented a more homogenous population than those in other studies and may in part, explain the lack of agreement with regards to an effect of sex on standing Q-angle. Data from this investigation suggest females and males do not differ in eccentric hip abduction strength when normalized to body mass and body height. These results support the works of Jacobs and Mattacola23 and Claiborne et al.8 who normalized peak hip abduction torque to body weight. However Cahalan et al.6 found that overall, males demonstrate greater normalized hip abduction strength compared to females when evaluated in a standing position. It is not clear whether these measurements appraised concentric or eccentric muscle actions. Hollman et al.19 and Leetun et al.27 reported isometric hip abduction strength between males and females to differ by 5.6% and 3.4% respectively when normalized to body weight. Additionally, Jacobs et al.24 found males to have greater isometric hip abduction strength (normalized to body height and body weight) compared to females. The disagreement across studies may indicate that differences in concentric and isometric abduction hip strength may not be correlated to similar differences in eccentric measurements. Therefore the differences between males and females may be related to the mode of evaluating hip strength. Additionally, it is not clear if hip position, seated vs. standing, contributes to the lack of agreement across studies, as there were differences in the position the torque measurement was made. Model-generated moment arms of hip muscles have been found to be affected by relative hip flexion.10 In particular, the gluteus medius functions as a hip rotator and therefore it is possible that its relative contribution to hip abduction strength may change depending upon the amount of hip flexion associated with the torque measurement. Otherwise, it may be that our sample population was relatively homogenous with respect to hip strength measurements since they were all collegiate athletes with similar years of sport maturation.

41 While researchers have proposed that lower limb structural alignment will affect knee abduction16, 22

, the results from this study do not provide evidence of a relationship between standing Q-angle and peak

knee abduction in early stance for either running or dynamic change of direction tasks. Pantano et al.34 were also unable to detect a relationship between standing Q-angle and dynamic knee abduction during a single-leg squat. Griffin et al.15 and Moul33 suggest standing Q-angle may be a possible risk factor for ACL injury. Although clinical assessment of this measurement is relatively easy, we do not suspect it is a good predictor of lower extremity alignment during dynamic tasks or of potential ACL injury risk. It has been shown that standing Q-angle is modifiable due to isometric quadriceps contraction5, 18, 26 It stands to reason that the relationships between hip and knee positions and muscle loading during dynamic tasks are interrelated. These relationships depend upon multiple factors, such that structural alignment in the absence of active limb loading lacks sensitivity to predict lower extremity position in the frontal plane during dynamic tasks. Recent evidence demonstrates hip abduction strength to be related to frontal plane knee position in single- and double-leg jump landings.23, 24, 42 Contrary to these reports, Hollman et al.19 found that the hip abduction/adduction isometric force ratio was positively correlated with longitudinal arch angle, but not with standing Q-angle. Although our data did not represent a hip force ratio, the results suggest eccentric hip abduction strength was not related to frontal plane knee motion during dynamic tasks. Powers36 theorizes proximal factors, such as hip strength, may help to explain differences in lower extremity alignment, such as knee abduction, during weight bearing activities. It may be that the lack of a relationship between knee abduction and hip strength in this study is confounded by the fact that these same subjects did not demonstrate differences in frontal plane knee angle as an effect of sex.14 Conversely, these females were found to have greater hip adduction for the conditions of LFS, SSC, and LFS-SSC and smaller hip external rotation moments during conditions of SSC and LFS-SSC when compared to males. Therefore, although eccentric hip strength does not appear be a predictor of knee position, it may possibly be related to hip mechanics. It is possible the relationship between hip strength and the control of knee abduction is stronger during jump landing tasks than during change-of-direction tasks. Intuitively, the relative need to control the decent of the center of mass is very different between the two tasks. Jump landings require the

42 individual to come to a complete stop, whereas cutting tasks represent a momentary transition between two directions of travel. Hip abduction strength may thus serve a lesser role relative to other contributions to lower extremity dynamics in the control of knee abduction during cutting tasks. One limitation to these conclusions is related to the mode of hip strength measurement. We anticipated that eccentric hip strength would represent a functional measurement of proximal control associated with lower extremity alignment. The total excursion of the hip through abduction and adduction during the tasks may not represent the position in which peak eccentric hip strength was found to occur (19.53 ± 1.66º) in this study. It is possible that a relationship between hip strength and knee abduction exists when the angle at which the strength measurement is obtained replicates a hip position associated with peak frontal plane knee kinematics. Investigation of isometric hip strength may be warranted if the amount of hip abduction does not extend over a very large range during the dynamic tasks. To our knowledge, this study was the first to compare standing Q-angle and eccentric hip strength measurements to frontal plane knee loading during running and change of direction tasks. Although these measurements are easy to administer clinically, the apparent lack of relationship to knee adduction moments suggests other factors may be important in predicting knee loading. It may be useful to consider coupled relationships of hip abductor/knee extensor, hip abductor/hip flexor, or hip extensor/knee extensor strength ratios. Inasmuch as hip and knee positions and loadings are inter-related, so too may be the strength of muscles associated with different joint and planar control during dynamic tasks. Dissimilarities between these strength ratios may better explain the different knee loading behaviors associated with activities related to ACL injury. Although both the relationships between standing Q-angle, sex, and their interaction and between eccentric hip strength, sex, and their interaction were significant for the LFS condition, we were unable to determine which factor(s) satisfactorily contributed to the model. These results suggest that the performance of a lateral false step may be more sensitive to the combined effects of static lower extremity alignment, hip strength, and sex, but it is unclear which of these factors helps explain the observed differences. It is possible we lacked sufficient power to determine these relationships due to the size of the population included in this study.

43 Recently Chaudhari and Andriacchi7 investigated the contribution of hip stiffness to ACL injury threshold in a dynamic model. In the conditions of neutral alignment, the injury threshold was significantly greater than when knee alignment changed to a valgus (abduction) position. Hip stiffness was also found to have a positive effect on injury threshold, such that an increase improved the threshold in both neutral and abducted alignments of the knee. Intuitively, increases in hip abduction strength should be related to the ability to increase hip stiffness during dynamic tasks. Although we did not directly measure hip stiffness in this study, our results indicate hip strength is not a predictor of knee abduction position or frontal plane knee loading during running and change of direction tasks. Dynamic hip abduction stiffness may be more related to anticipatory contraction of hip musculature during these tasks than overall hip abduction strength. Determining overall hip abductor activation may be more helpful in explaining these relationships and why ACL injury risk is higher for females than males during in vivo studies. The results of this study do not support evidence of a relationship between static measurements of lower extremity alignment or eccentric hip abduction strength and frontal plane knee position and loading behaviors during running and rapid change of direction tasks. Standing Q-angle and eccentric hip abduction strength do not appear to differ in collegiate female and male basketball and soccer players. Hip abduction strength may be a better predictor of frontal plane knee kinematics during jump landing tasks than cutting tasks. Although female basketball and soccer players have been found to be at greater risk for ACL injuries than males when matched by age and sport, the present data do not help to explain this phenomenon.

44

FINISHRUN, LFS

4 5 8

3

6

45°

Timing Light System

FINISHSSC, LFS-SSC Force Plate Configuration #2

7

#1 2

SW35

X

X

X

2

X indicates 30% Body Height For LFS, LFS-SSC 8

3

4

START: RUN, SSC

Vicon Camera 1 9

START: LFS, LFS-SSC

Figure 1. Laboratory set-up for data collection of running (RUN), lateral false step (LFS), sidestep cutting (SSC) and combination of lateral false step-sidestep cutting (LFS-SSC) maneuvers. Distance from the running lines for LFS and LFS-SSC maneuvers was determined to be 30% of body height and measured at a distance perpendicular to the direction of travel for both conditions. Change-of-direction angle for SSC and LFS-SSC conditions was set to 45 ± 10º. Tape was applied to the floor to indicate the different paths of travel for all conditions in addition to the acceptable range of 35-55º for the SSC and LFS-SSC conditions.

45 TABLE 1 Sex-based comparisons of standing Q-angle, hip abduction strength, and hip angle of peak torque developmenta Sex Variable Females Males P-value Standing Q-angle (º) 9.97 ± 3.83 7.60 ± 3.34 0.16 Eccentric hip abduction strength (Nm/(kg·m)) 1.32 ± 0.18 1.25 ± 0.23 0.42 Angle of peak torque (º)b 19.65 ± 1.51 19.43 ± 1.87 0.78 a Values represent mean ± SD (Females 11, Males 10) for collegiate basketball and soccer athletes b N = 20 (Females 10, Males 10)

46

TABLE 2 Relationship between standing Q-angle, sex, interaction of standing Q-angle and sex, with peak knee position and loading Response Variable Conditionc R R2 P-value a Knee Abduction Angle RUN 0.52 0.28 0.13 LFS 0.63 0.40 0.03 SSC 0.56 0.31 0.09 LFS-SSC 0.38 0.15 0.43 Knee Adduction Momentb RUN 0.59 0.09 0.67 LFS 0.21 0.04 0.86 SSC 0.28 0.03 0.70 LFS-SSC 0.45 0.20 0.27 a Resulting R and R2 values related to linear regression model (N = 21) with knee abduction angle (º) as the response variable and sex, standing Q-angle and the interaction between sex and SQA as explanatory variables. b Resulting R and R2 values related to linear regression model (N = 21) with knee adduction moment (% body weight x body height) as the response variable and sex, standing Q-angle and the interaction between sex and SQA as explanatory variables. c RUN = running, LFS = lateral false step, SSC = sidestep cutting, LFS-SSC = combination of lateral false step and sidestep cutting.

47

TABLE 3 Relationship between eccentric hip strength, sex, interaction of hip strength and sex, with peak knee position and loading Response Variable Conditionc R R2 P-value a Knee Abduction Angle RUN 0.48 0.23 0.21 LFS 0.68 0.46 0.01 SSC 0.53 0.28 0.13 LFS-SSC 0.38 0.15 0.43 Knee Adduction Momentb RUN 0.37 0.14 0.45 LFS 0.332 0.10 0.60 SSC 0.50 0.24 0.18 LFS-SSC 0.45 0.20 0.27 a Resulting R and R2 values related to linear regression model (N = 21) with knee abduction angle (º) as the response variable and sex, eccentric hip strength (ECC), and the interaction between sex and ECC as explanatory variables. b Resulting R and R2 values related to linear regression model (N = 21) with knee adduction moment (% body weight* body height) as the response variable and sex, eccentric hip strength (ECC) and the interaction between sex and ECC as explanatory variables. c RUN = running, LFS = lateral false step, SSC = sidestep cutting, LFS-SSC = combination of lateral false step and sidestep cutting.

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51

Patterns of lower extremity kinematic and kinetic measures for females and males during running and rapid change-of-direction tasks

Grace M. Golden, Mark A. Hoffman, Michael J. Pavol

52 INTRODUCTION Documented incidence of anterior cruciate ligament (ACL) rupture and the sex bias associated with this injury in collegiate basketball and soccer players has remained consistent over the last decade.1, 3 The short-term and long-term complications associated with ACL rupture are well documented and range from time loss from activity to a high risk for developing knee osteoarthritis and degeneration.14 There is apparent high agreement between the clinically observed mechanism of ACL injury and in situ biomechanical investigations of ACL loading patterns.16, 17, 31 Research has shown that movements that combine a relatively extended knee (0-30º) which is concomitantly internally rotated and abducted are typical of the ACL injury mechanism.4, 13, 23 One movement behavior associated with the production of this high risk position is a sudden change in direction while running, i.e. sidestep cutting.18 Although knee abduction has been suspected to contribute to ACL injury during jump landing for females12, there is less consensus regarding sex differences and predictors of injury for sidestep cutting.7, 21, 22, 24, 29 Therefore, is it necessary is to continue to advance our understanding of the mechanism of ACL injury and potential precipitating factors in the athletic population, endeavoring to help prevent this injury during rapid changeof-direction tasks. Biomechanical studies of sidestep cutting have primarily focused on quantifying knee kinematics and kinetics, however, there has been recent consideration of the role of hip position and loading patterns. There is lack of agreement as to whether sex differences exist during the performance of sidestep cutting (SSC) tasks. Although females have been found to demonstrate greater positions of knee abduction15, 20 and less internal rotation21 and knee flexion15, 21 compared to males in SSC tasks, other studies with similar experimental design have not established a sex difference for knee kinematics for SSC tasks.24, 29 Similarly, some researchers have reported females generate greater knee abduction19, 20, 29 and smaller internal rotation19 moments compared to males during SSC tasks while others24 have not detected differences in knee kinets during SSC tasks. Consideration of the role of hip kinematics and kinetics is equally divided. McLean et al.21 postulated greater hip external rotation is concomitant with greater knee abduction. However, Pollard et al. 26

reported that, although females exhibit less peak hip abduction than males, there is no effect of sex on

hip rotation or knee kinematics. Additionally, these same authors found no differences in hip loading

53 patterns between males and females in the frontal and transverse planes. Differences in frontal plane hip kinematics without dissimilarity in knee kinematics provides disconnect between the expected relationships of the proximal and distal joints of the lower extremity. It is quite possible that the inability to conclusively explain sex differences from both kinematic and kinetic perspectives, is due to the investigation of these variables in isolation. It is well established that during rapid changes in direction, many of the traditional variables are highly inter-related. Therefore we utilized statistical techniques to combine several of the related variables into factors that describe the principal components of the movement behavior. Rapid changes of direction represent highly inter-related multi-joint coordinative movements. The potential danger in looking at variables in isolation stems from the inability to compare how one variable is related to, or affects, another. Therefore, considering combined patterns of joint motion and loading across two joints may be useful in describing the movement behavior associated with rapid change-of-direction tasks and may better delineate the presence of sex differences. In fact, reducing high-dimensional data of several kinematic and kinetic variables to a smaller number of descriptive patterns that capture the movement behavior has been encouraged for biomechanical studies.6, 10 This approach may contribute to understanding of how kinematic and kinetic knee and hip variables are related, improving the ability to determine how rapid change-of-direction tasks are associated with the ACL injury mechanism. This study was designed to systematically investigate patterns of knee and hip kinematics and kinetics that emerged during running and three variations of rapid change of direction tasks of increasing complexity and compare them across sexes and change-of-direction tasks. The primary purpose of this study was to identify a set of factors which characterize knee and hip position and loading behaviors in collegiate athletes during conditions of normal running and rapid change-of-direction tasks. The secondary purpose of this study was to determine if there are differences in the patterns of movement displayed by females and males. Based upon these objectives, we hypothesized that females would exhibit to a great extent those lower extremity patterns that place the ACL at greater risk of injury, as would variations of the sidestep cutting maneuver.

54 METHODS Twenty-one subjects (11 females: 19.8 ± 1.5 yrs, 175.8 ± 6.3 cm, 69.9 ± 6.6 kg; 10 males: 20.7 ± 2.5 yrs, 188.6 ± 15.9 cm, 89.8 ± 21.7 kg) , basketball and soccer athletes from four college and university programs, were enrolled in the study. During initial screening, subjects completed demographic and health history questionnaires. Exclusion criteria included a past history of any reconstructive surgical procedure for the treatment of a lower extremity injury within the past twelve month period. All subjects were required to have an intact ACL. They could not be currently receiving supervised medical care for an injury to the upper or lower extremity preventing their participation in regular conditioning or practice sessions nor could they have suffered an injury to the lower extremity resulting in time loss from participation exceeding three weeks within the past six months. Additionally, female subjects were screened for a regular menstrual cycle (28-32 days27, 28) for the past 3 months and participated in the testing session within 1-9 days of the start of menses (6.5 ± 1.8 days). All participants were of equivalent sport experience (females: 8.45 ± 1.97 yrs, males: 7.00 ± 1.76 yrs; p > 0.05) and participating in either off-season conditioning (basketball) or a non-traditional competitive season (soccer). Recruitment and participation of subjects was approved by a University Institutional Review Board for the Protection of Human Subjects and all subjects provided informed consent prior to participation. Kinematic and kinetic data acquisition were performed with a Vicon 612 optical motion capture system utilizing 9 high-resolution MCam2 digital cameras (Vicon, Lake Forest, CA), interfaced with two Bertec Model 4060-08 force plates (Bertec, Columbus, OH) that were configured to function as a single force plate. Sixteen markers (9mm diameter) were affixed bilaterally on the lower extremity with double sided tape in order to identify body segment positions during static and dynamic trials. A customized marker set, based upon the work of Vaughan et al.30 was utilized for this study (5th metatarsal, heel, ankle, tibia, knee, thigh, anterior superior iliac spine, and posterior superior iliac spine). Kinematic data were collected at 120Hz and kinetic data were collected throughout foot contact at 1080 Hz. Figure 1 illustrates the laboratory set up for the running and change-of-direction tasks. In order to identify the path of travel for RUN and SSC conditions, yellow tape was affixed to the floor in a line crossing the center of the force plate. A second, parallel, blue tape line was placed on the floor, crossing the left corner of the force plate to indicate the path of travel for the LFS and LFS-SSC conditions. A

55 divergent tape line, originating from the force plates, was placed at an angle of 45º to the left of the other lines to identify the pathway for subjects to successfully perform the SSC and LFS-SSC change-ofdirection maneuvers. Colored adhesive tape was applied on the force plate to indicate a distance of 30% of body height for LFS and LFS-SSC conditions. This distance was measured perpendicularly to the right from the center point of the tape line crossing the left corner of the force plate. Cameras were positioned so each marker was visible by multiple cameras when the right foot was in contact with the force plate. Each trial consisted of running a distance of approximately 10m from start to finish. On the day of testing, subjects reported to the testing laboratory. Height (cm) was measured (with shoes on) with a wall mounted stadiometer. Weight (lbs) was recorded with a floor scale and later converted to kg. Next, subjects performed a 5 minute warm-up by running on a treadmill (2.5-3.1 m·s-1). During this time, adhesive tape was applied to the force platform at a location indicating a distance equivalent to 30% of body height from the line of travel for the LFS and LFS-SSC conditions. After the warm-up period, subjects were allowed 3-5 practice trials for each of the running and change-of-direction tasks in the order of RUN, LFS, SSC, LFS-SSC. These practice trials enabled researchers to determine the most effective starting location so that the running stride prior to force plate contact was fluid and consistent, and improved subject familiarization with the specific tasks. Throughout the practice and testing trials, the speed of the subject was monitored through the use of timing lights placed 1.5 m to the rear and front of the force plates, at a total distance of 3 m apart. Trials were considered acceptable when speed equated to 3.5 m·s-1 ± 10% (3.15 - 3.85 m·s-1). Recovery was accommodated by having subjects walk back to the starting location between each trial. Verbal instructions for running speed and technique were standardized for all subjects. Subjects were directed to perform all trials without a reduction of speed into the RUN, LFS, SSC, and LFS-SSC maneuvers, discouraging leaping or hesitating prior to force plate contact. Testing trials were discarded if the subject made foot contact on the force plates with the left foot, failed to make contact with the force plates with the entire right foot, missed the LFS and LFS-SSC tape mark on the force plate, initiated the LFS or LFS-SSC maneuver by crossing the left foot to the right of the directional guide placed on the floor, or completed the SSC or LFS-SSC cut outside a range of 45º ± 10º. Colored tape was placed on the floor to indicate the boundaries of 35-55º.

56 Following familiarization of running and change-of-direction tasks, markers were affixed to the subjects. Each subject wore form-fitting spandex shorts of a dark color and a pair of their own team-issued running shoes for data acquisition trials. Foot markers were placed on the outside of the running shoe. A static trial was collected for the calibration of segmental orientation, with the subject positioned in anatomical neutral (arms at 90º abduction) while standing on the force plates. Ten successful trials were recorded for each of the four conditions in the order of: RUN, LFS, SSC, and LFS-SSC. During each trial, kinematic and kinetic data were measured for the subject’s right limb throughout contact with the force plate during stance phase. Subsequent to the completion of all running and change-of-direction trials, foot length (shoe length) and pelvis, knee, and ankle width were measured with a joint anthropometer (Lafayette Instrument Company, Lafayette, IN). Three measurements were obtained for each measurement by the same researcher and averaged for data analysis. All data were collected in a single testing session. Three degrees of freedom were assigned to the major joints of interest, with the corresponding rotations of flexion-extension, abduction-adduction, and internal-external rotation for the hip, knee, and ankle joints. Raw data for all dynamic trials were used to determine the three-dimensional paths of the markers and cubic spline interpolation was performed to fill small gaps (less then 50ms) with Vicon Workstation software. Kinematic data were filtered using a fourth-order zero-lag Butterworth low-pass filter with a cut-off frequency of 16Hz, as determined through a residual analysis.32 Marker positions from the static, standing trial and anthropometric measures were used to establish a set of transformations for determining joint center locations and body segment orientations. These transformations were used to determine the paths of the joint centers and the orientations of the body segments over the entire stance phase of running. From these, the joint angles (degrees) at the stance knee and hip were determined by the convention of Grood and Suntay11. Knee internal rotation angles during the static trial were defined to be zero. The computed kinematics were also combined with the force plate data to determine the internal joint moments acting at the knee and hip during stance using 3-dimensional inverse dynamics methods. Foot progression angle was determined as the foot abduction angle at midstance, relative to the direction of the original path of travel. Segmental inertial parameters were determined as outlined by de Leva for female and male data.8 Joint moments were expressed with respect to the assumed joint axes of rotation. Joint moments (Nmm) were normalized to body height (mm) and body weight (N) and reported as a percentage

57 of body height (bh) and body weight (bw). A customized Matlab program (Student version 7, Mathworks, Natick, MA) was created to extract peak joint angles and moments from initial contact to 30º of knee flexion during stance for all dynamic trials. An average of the peak values from the ten trials of each condition by each subject was used for statistical analysis. Analysis was conducted on 18 measures of lower extremity position and loading across the four conditions of running and change-of-direction tasks, including peak knee angles of extension, abduction, internal rotation; peak hip angles of flexion, abduction, external rotation; foot progression angle; peak knee moments of flexion, extension, abduction, adduction, internal rotation, external rotation; and peak hip moments of extension, abduction, adduction, internal rotation, external rotation. Pearson correlations were computed between the measures of foot progression, knee and hip position, and loading variables. All measures were found to be correlated and included in a factor analysis. Factors were extracted using principal components analysis and the number of factors retained in the model selected based upon the results of a scree plot. A direct oblimin factor rotation with Kaiser normalization was employed. Factor scores were computed using the regression method. Four separate 2 way repeated measures ANOVA (Sex;2 X Task;4) were conducted to compare the factor scores for females and males across the conditions of RUN, LFS, SSC, and LFS-SSC. Post hoc comparisons between the four conditions were conducted utilizing the Tukey’s HSD test. The level of significance was set at α = 0.05. Analyses were performed using SPSS 13.0 (Chicago, IL).

58 RESULTS Four common factors were identified as underlying the eighteen measures of lower extremity kinematics and kinetic (Table 1). These four factors explained 73.05% of the variance in the kinematic and kinetic measures. Factor one, Knee Extension, was associated with the greatest number of lower extremity measures. Through this factor, a knee which is more extended during the early portion of stance was related to lesser peak knee abduction and greater peak moments in knee abduction, extension, external rotation, hip abduction and hip internal rotation. Factor two, Hip Abduction, related a lower extremity pattern of greater peak hip abduction position with a greater peak knee adduction moment, greater peak hip adduction moment, and a greater peak hip external rotation moment. Factor three, Hip Flexion, related a position of greater hip flexion with a greater peak knee flexion moment and peak hip extension moment. Lastly, factor four, Foot Abduction, related a position of greater foot abduction (toe-out) with less peak knee internal rotation, greater peak hip external rotation, and a lesser peak knee internal rotation moment. A significant main effect of condition was evident for Knee Extension (p < 0.001). Post hoc analysis showed the presence of Knee Extension was lesser for LFS-SSC than for both the RUN and LFS conditions (p < 0.05; Table 2). There was not a significant main affect of sex (p = 0.95) or an interaction between sex and condition (p = 0.48) for Knee Extension. Similarly, a significant main effect of condition was evident for Hip Abduction (p < .001). Post hoc analysis determined that the presence of Hip Abduction was greater for LFS, SSC and LFS-SSC conditions than for RUN (p < 0.05; Table 2). Additionally, the presence of Hip Abduction was greater for the LFS-SSC condition than for LFS and SSC (p < 0.05). There was not a significant main effect of sex (p = 0.10) or an interaction between sex and condition (p = 0.63) for Hip Abduction. A significant main effect of condition was also evident for Hip Flexion (p = 0.003). However, post hoc analysis showed no significant difference between any of the four conditions (p > 0.05, Table 2). There was not a main effect of sex (p = 0.09) or interaction between sex and condition (p = 0.17) for Hip Flexion. Lastly, a significant main effect of condition was evident for Foot Abduction (p < 0.001). Post hoc analysis determined that the presence of Foot Abduction was lesser for the condition of SSC than for RUN

59 and lesser for the conditions of SSC and LFS-SSC than for LFS (p < 0.05; Table 2). There was not a main effect of sex (p = 0.80) or interaction between sex and condition (p = 0.64) for Foot Abduction.

60 DISCUSSION The main objective of this study was to identify patterns that characterize knee and hip position and loading behaviors during running and change-of-direction tasks and to determine that extent to which these patterns differs between tasks. Four patterns, defined as factors, were identified as primary contributors to the expression of kinematic and kinetic behaviors during the dynamic tasks, explaining 73.05% of the variance. These patterns provide evidence of common relationships between lower extremity kinematics and kinetics during dynamic tasks. The first factor, Knee Extension, represented a pattern in which greater knee extension was related to lesser knee abduction, greater extension, abduction, and external rotation moments at the knee, and greater abduction and internal rotation moments at the hip in the early part of stance. This factor identifies a relationship between variables seen during the initial loading phase of running.9 During early stance in running, the knee is relatively extended with less abduction. Knee external rotation moments and hip internal rotation moments were coupled, implying that internal forces functioned to simultaneously resist internal knee rotation and external hip rotation. The association between this pattern and running mechanics is further supported because Knee Extension is more strongly represented during running and LFS when compared to the LFS-SSC task. We would expect an increase in the knee extension moment to be hazardous, as loading through the sagittal plane with a larger anterior tibial force increases loading of the ACL.17 However, this factor couples larger knee extension moments with greater knee abduction and external rotation moments. This combined frontal and transverse plane loading pattern has not been related to loading of the ACL.17 The strong presence of this pattern in running further supports the notion that this factor represents a pattern that is not hazardous to the ACL, as injuries do not commonly occur during running tasks. The presence of this pattern in the LFS maneuver also suggests this task may not place an individual at increased risk for injury through a sagittal plane mechanism. Factors two and three (Hip Abduction, Hip Flexion) expressed patterns associated with hip position. Hip Abduction represented a pattern in which greater hip abduction was associated with greater knee adduction moments, hip adduction moments, and hip external rotation moments. We would expect positions of greater hip abduction to be associated with greater hip adduction moments. However, this pattern also demonstrated that an abducted hip was coupled with larger knee adduction moments. This

61 would suggest increases in hip abduction may simultaneously increase potential ACL injury risk since internal moments of knee adduction are believed to load the ACL. This coupling of hip position and knee loading may serve to control knee abduction during the tasks. Other researchers have recognized this relationship and suggest that increased hip abduction contributes to a greater laterally directed ground reaction force, in turn producing larger knee adduction moments.29 The presence of greater external rotation moments in this pattern suggested a need for more transverse plane control during tasks in which this pattern is strongly represented. It is reasonable that Hip Abduction was represented to a greater degree during the LFS, SSC and LFS-SSC conditions when compared to running. One of the primary components of two of these tasks required the athletes to increase step width in a lateral direction which would increase hip abduction. Additionally, athletes may have greater hip abduction as a direct result of preparing for the change of direction associated with the task. The coupling of these variables demonstrates how this pattern, which includes greater hip abduction, may place an individual at greater risk for ACL injury. Frontal plane motion of the knee, specifically knee abduction, is believed to increase ACL loading.16, 17 Knee adduction moments are thought to control knee abduction during change-of-direction tasks in which increased ACL loading may occur. 20, 29 Combination of a laterally directed step with a sidestep cut appears to be more hazardous since the Hip Abduction pattern is most strongly represented during the LFS-SSC task. Coupling of knee and hip kinetic and kinematic measures in Hip Flexion related increased hip flexion with larger peak knee flexion moments and hip extension moments. It stands to reason that increased hip flexion would be related to greater hip extensor moments, as greater hip flexion would increase the demand on the hip extensors. Association of greater hip flexion with a larger knee flexion moment is likely related to involvement of the hamstring muscle group, which acts to flex the knee and secondarily extend the hip. The coupling of these hip and knee variables suggest the more the hip is flexed, the greater the associated knee flexion moment. Pollard et al.25 suggest the demonstration of decreased hip flexion during a change-of-direction task may result in the need for an alternative strategy for controlling deceleration in the sagittal plane. These authors propose that sagittal plane loading at the hip and knee, in the presence of adequate hip flexion, may be protective of the ACL. The coupling of variables associated with Hip Flexion in this investigation supports this concept. This pattern provides evidence of the role of

62 proximal control in positively influencing loading at the knee. Hip Flexion was found to be equally represented across all four dynamic tasks, indicating that athletes in this study performed each of the tasks with similar hip flexion and hip extension and knee flexion moments through the sagittal plane. Factor four, Foot Abduction, primarily associated knee and hip measures in the transverse plane and was the only factor to include foot abduction. A pattern of increased foot abduction (increased externally rotated foot progression angle) was related to lesser knee internal rotation and greater hip external rotation in addition to a reduction in knee internal rotation moment. Patterning of foot, knee and hip motion through the transverse plane indicates the lower extremity was relatively externally rotated during early stance. It stands to reason that knee internal rotation moments would increase in this situation; however the reduction of this moment suggests other factors contribute to the control of knee external rotation. Conceivably, position of the lower extremity is organized to reduce loading of the knee through the transverse plane. In particular, external hip rotation is strongly associated with this pattern. McLean et al.21 suggest that greater external rotation of the hip will lead to increased knee abduction and therefore greater possibility of ACL loading. The coupling of hip external rotation and foot abduction in this pattern without strong association with knee abduction may indicate the proposed relationship is not as direct as previously recommended. Researchers have found an increase in foot abduction results in reduced hip external rotation moments5 and knee adduction moments (external moments)2 during walking. It may be the lack of a similar association between foot abduction and hip and knee loading found in Foot Abduction is due to the differences in the nature of the dynamic tasks that were investigated. Since ACL loading has been shown to be lower during external knee rotation compared to internal rotation17, we would expect this pattern to afford protection to the ACL. Presence of Foot Abduction was greater in the LFS compared to SSC and LFS-SSC conditions and greater in running compared to the SSC. The overall reduction of internal rotation of the lower extremity in running and the LFS tasks may afford relative task specific protection of the ACL. In contrast, the SSC task was found to have the smallest amount of this pattern and may be one reason sidestep cutting is associated with ACL injury. In effect, the role of loading through the transverse plane may contribute more to the mechanism of ACL injury during this task when compared to other change-ofdirection tasks.

63 The second objective of this study was to determine whether there were differences between females and males in the expression of the different factors. Contrary to expectations, there was not an effect of sex on any of the four factors for any of the four conditions of running and rapid change-ofdirection tasks. This may be related to relative homogeneity of the subject population, as all were collegiate athletes with equivalent years of sport experience, despite different sport specializations (basketball and soccer). Additionally, the size of the subject pool may not have been large enough, limiting the ability to detect differences across sex. The use of a principal components analysis (PCA) can be a powerful tool in evaluating relationships in inter-related multi-joint coordinative movements, helping to extract the most relevant information.6 However, it is not without limitations. PCA has relative scaling sensitivity, meaning summarizing a set of variables with different units may affect the attention given to the variable in the analysis. Although PCA allows the researcher to gain insight into the underlying factors associated with a behavior, it does not directly measure the behavior. Rather, the researcher considers which variables are strongly influenced by the factor. In the case of this study, we were able to consider combined patterns of joint motion and loading across two joints, but not directly measure the underlying value of the variable of interest. In summary, the results of this study indicate that four key factors are associated with the coupling of knee and hip position and loading patterns during running and change-of-direction tasks. Running was associated with a pattern in which sagittal, frontal, and transverse plane loading of the lower extremity appeared to be protective of the ACL. Increasing hip abduction concomitantly raises frontal plane loading of the knee in a manner associated with increased knee abduction, which is believed to load the ACL. Stepping laterally prior to a sidestep cut will tend to increase the presence of this loading pattern and may be one reason athletes are susceptible to ACL injury during this type of rapid change-of-direction task. Increasing hip flexion enhanced sagittal plane loading of the hip and knee such that the ACL would be protected. We might expect if athletes perform change-of-direction tasks in a more upright position, they will experience a reduction in the beneficial coupling of hip extension and knee flexion moments, increasing susceptibility to ACL injury. Relative external rotation of the lower extremity may afford protection of the ACL when frontal and sagittal plane loading is held constant. Although the lateral step is

64 associated with increased knee loading through the frontal plane, the associated reduction of transverse plane loading may lessen this detrimental effect. Sidestep cutting was performed with relative internal rotation of the lower extremity, which may help to explain how this change of direction task can lead to ACL injury. From a clinical perspective, it is apparent that knee and hip position and loading behaviors are highly inter-related. The manner in which athletes rapidly change direction may be linked to different mechanisms associated with ACL loading. The results of this study imply that it is difficult to attribute a single parameter as predictive of ACL injury during these complex tasks. Females and males who adopt protective coupled foot, knee, and hip behavior will likely be at less risk of ACL injury. Further study is necessary to identify what factors will tend to reduce these positive relationships and increase the risk of ACL injury.

65

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Figure 1. Laboratory set-up for data collection of running (RUN), lateral false step (LFS), sidestep cutting (SSC) and combination of lateral false step-sidestep cutting (LFS-SSC) maneuvers. Distance from the running lines for LFS and LFS-SSC maneuvers was determined to be 30% of body height and measured at a distance perpendicular to the direction of travel for both conditions. Change-of-direction angle for SSC and LFS-SSC conditions was set to 45 ± 10º. Tape was applied to the floor to indicate the different paths of travel for all conditions in addition to the acceptable range of 35-55º for the SSC and LFS-SSC conditions.

66

TABLE 1 Pattern matrix for four factors describing lower extremity kinematics and kinetics during running and change-of-direction tasksa Factor Knee Hip Hip Foot Extension Abduction Flexion Abduction r2 Kinematic Measures Knee extension 0.72 0.73 Knee abduction -0.51 0.46 Knee internal rotation -0.60 0.67 Hip flexion 0.74 0.68 Hip abduction 0.80 0.67 Hip external rotation 0.86 0.74 Foot progression angle 0.78 0.62 Kinetic Measures Knee flexion 0.63 0.68 Knee extension 0.75 0.63 Knee abduction 0.90 0.90 Knee adduction 0.90 0.95 Knee internal rotation -0.62 0.51 Knee external rotation 0.69 0.70 Hip extension 0.81 0.84 Hip abduction 0.91 0.85 Hip adduction 0.87 0.90 Hip internal rotation 0.82 0.76 Hip external rotation 0.81 0.85 a Values represent the weighting (-1 to 1) of each factor in a linear combination describing each measure across all conditions of run and change of direction tasks. Large weights indicate a factor and kinematic or kinetic measure are strongly related. Weights with magnitudes less than 0.50 are not shown. The communality (r2 ) indicates the proportion of variance explained by the four factors.

67

Table 2 Comparison of kinematic and kinetic factor scores across running and change-of-direction tasksa Conditionb Factor RUN LFS SSC LFS-SSC P-value Knee extension 0.30 ± 0.74 0.24 ± 0.95 -0.13 ± 1.10 -0.42 ± 1.10cd < 0.001 Hip abduction -1.10 ± 0.29 -0.21 ± 0.37c 0.02 ± 0.53c 1.29 ± 0.78cde < 0.001 Hip flexion 0.13 ± 0.42 -0.43 ± 0.89 0.36 ± 0.93 -0.14 ± 1.40 0.003 Foot abduction 0.30 ± 0.71 0.53 ± 0.82 -0.55 ± 1.01cd -0.29 ± 1.08d < 0.001 a Factor scores each have a mean of 0.0 and standard deviation of 1.0 across subjects (i.e., scores are in units of standard deviations from the population average; N = 21). b RUN = running; LFS = lateral false step; SSC = sidestep cutting; LFS-SSC = combination of lateral false step and sidestep cutting. c significantly different than RUN (Tukey’s HSD p < 0.05) d significantly different than LFS (Tukey’s HSD p < 0.05) e significantly different than SSC (Tukey’s HSD p < 0.05)

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GENERAL CONCLUSION One of the primary findings of this study supports the premise that lower extremity biomechanics significantly differ between running and change-of-direction tasks. Females appear to differ in hip mechanics compared to males; however, knee mechanics were not shown to differ as a function of sex during running and change of direction tasks. Static lower extremity alignment and hip strength were not shown to contribute to the explanation of differences in knee loading and position across these same tasks. Additionally, lower extremity alignment and hip strength were not found to differ between the male and female athletes participating in this study. The coupling of knee and hip kinematics were different between running and change-of-direction tasks and this finding may help to explain how the ‘at risk’ maneuvers are associated with anterior cruciate ligament injury. Results from this investigation are in agreement with other descriptive studies of running, supporting evidence of differences in hip adduction between females and males.35 Additionally the data confirm knee loading in the frontal plane does not differ between females and males during running. However, the results do not support previously reported differences in knee abduction as a function of sex during running.35 The data show that a change-of-direction maneuver in which the task is initiated by stepping laterally away from the intended direction of travel results in greater frontal plane abduction angles and adduction moments at the kneee when compared to the more commonly investigated sidestep cut. While knee abduction has been implicated as one of the primary predictors of ACL injury during jump landing tasks54, there is still a lack of consensus regarding how this factor is related to injury during change-ofdirection tasks. Previous investigations of sidestep cutting have led to the assertion that the relative knee abduction associated with sidestep cutting may not be great enough to directly elicit a non-contact ACL injury.91 The combination of a lateral false step with a sidestep cut represents one way to significantly increase knee abduction. This result may possibly explain how athletes are at risk of injury when changing direction. The results of this study affirm other reports of a lack of a difference in frontal plane knee kinematics between females and males during rapid change-of-direction tasks.107, 118 However, females and males were not found to differ in knee loading patterns across tasks, which deviates from other

71 investigations of similar tasks.91, 119 These dissimilarities suggest further investigation is warranted in order to further determine the extent of any differences in frontal plane knee loading between females and males. Females were found to demonstrate significantly different hip mechanics when compared to males. In particular, females had greater overall hip adduction and smaller external rotation moments compared to males. Although the results of this study do not make it possible to attribute the source of these differences to a specific factor, it is plausible females and males differ in strength or activation patterns of selected hip musculature. These results imply that control of the joint proximal to the knee may be related to knee injury risk and may help to explain why injury incidence differs as a function of sex. The hip abductors contribute to the control of hip adduction and rotation.31 Intuitively, a lack of strength of the hip abductors would result in differences in hip and knee mechanics due to the contribution of these muscles to femur position. The results of this study did not support evidence of an association between eccentric hip abductor strength and frontal plane knee position and loading during running and rapid change-of-direction tasks. Therefore, either the method used to measure hip strength was not appropriate for determining the existence of this relationship, or other hip musculature may be better associated with knee biomechanics during these tasks. For example, hip extensors, such as the gluteus maximus which extends and rotates the hip, may be more important in explaining lower extremity loading. Muscle activation patterns were not measured in this study and it is possible females differ from males with respect to when hip muscles are engaged during dynamic tasks. Researchers should continue to consider what other factors contribute to the control of hip position in order to help explain different lower extremity biomechanics associated with different tasks and between females and males. The suggestion of static lower extremity alignment being a predictor of frontal plane knee biomechanics is appealing. The ease of measurement of standing Q-angle makes it a practical tool for clinicians to screen athletes with respect to risk of knee injury. Although athletes with abnormally large Qangle may be at risk of overuse soft tissue injuries of the lower extremity, as it is believed to contribute to knee extensor dysfunction77, the results from this study indicate it is not as valuable in predicting lower extremity alignment during change-of-direction tasks. This finding is in agreement with other investigations that have evaluated the relationship between standing Q-angle and knee biomechanics during a single-leg squat.105 While it has been shown standing Q-angle is a predictor of ACL injury100, our data

72 suggest this relationship may not be due to the aefect of this measurement on knee position. Therefore, it is necessary to determine which risk factor this static measurement is related to in order to explain how it contributes to ACL injury risk. Despite overwhelming evidence of differences in standing Q-angle between females and males in the general population,48, 59, 131 the results of this study suggest female and males matched for sport and age demonstrate similarities in this measurement. This may in part help explain why there is a lack of evidence of a relationship between standing Q-angle and frontal plane knee position and loading in this study, since there was not a differences in knee abduction and internal knee adduction moments as a function of sex across the investigated tasks. Unique to this study was the description of patterns of knee and hip mechanics during running and change-of-direction tasks. Previously, researchers have measured peak kinematics and kinetics of the knee and hip across stance during running and sidestep cutting and direct relationships between these variables are assumed. It stands to reason that knee and hip position and loading behaviors are highly inter-related but the precise relationships have not been quantified. A large percentage of the variance of lower extremity kinematic and kinetic behaviors during running and change-of-direction tasks was explained by four distinct patterns of biomechanical coupling. Normal running is not likely to result in ACL injury. The results from this study help to explain this based upon which lower extremity biomechanical factors are believed to be associated with the ACL loading. Running is associated with greater knee extension than change-of-direction tasks. The results of this study provide evidence of a pattern in which knee extension is coupled with less knee abduction and loading of the knee and hip in the sagittal, frontal and transverse planes in such a manner as to protect the ACL. Rapid change-of-direction tasks, such as the SSC and LFS-SSC, demonstrated greater presence of a pattern in which hip abduction was related to knee adduction loading and hip adduction and external rotation loading. Specifically, in the presence of greater hip abduction, knee adduction moments were also greater. Researchers have proposed static structures are more responsible for providing support during abduction-adduction loading of the knee than musculature.78 Therefore, we may conclude the ACL and other non-contractile structures play an important role in contributing to the knee adduction moment observed during these dynamic tasks.

73 The third pattern represented in the data associated hip flexion with knee flexion and hip extension moments. The relationships between these factors indicate that, in the presence of smaller hip flexion angles, the protection offered by knee flexion and hip extension loading is reduced. Although the presence of this pattern was not found to differ across tasks, it may help to explain one means by which the ACL is more susceptible to injury. Athletes, who perform rapid change-of-direction tasks in a more upright posture relative to the hip may be at greater risk of ACL injury. While it is not know what parameters of an athlete’s biomechanical behavior will tend to decrease hip flexion during these tasks, clinicians may use this information to guide evaluation and intervention when observing the performance of these tasks. The last pattern identified during this study indicated that the presence of foot abduction (externally rotated foot progression angle), was related to smaller knee and hip rotation positions as well as smaller hip rotation moments. Increases in foot abduction and external hip rotation were coupled with decreases in the angle and moment for knee internal rotation. This may suggest a relatively externally rotated lower extremity may be protective of the ACL. Although other researchers have suggested external hip rotation is related to knee abduction, our results did not provide evidence of such a relationship. In conclusion, the combination of a lateral false step with sidestep cutting has a greater negative affect on knee and hip biomechanics than does sidestep cutting alone, in such a manner as to potentially increase loading on the ACL and secondarily place the ACL at risk of injury. While differences between females and males in knee biomechanics across these tasks were not evident, it appears hip biomechanics are associated with a gender bias. Females may be at greater risk of ACL injury due to differences in hip control when compared to males. The proposed relationships between relative hip strength and lower extremity alignment with knee position and loading were not supported in this study. The extent to which coupled knee and hip kinematic and kinetic measures are present appears to differ according to the type of dynamic task performed in such a way as to help explain why rapid change-of-direction tasks are more likely to results in ACL injury than running. These results indicate variations of the sidestep cutting task should be further evaluated and considered as possible mechanisms for ACL injury. Other factors associated with the control of hip position should be considered for further analysis in order to help explain why females are at greater risk of ACL injury than males.

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81

APPENDICES

82 APPENDIX A REVIEW OF THE LITERATURE Anterior cruciate ligament (ACL) injury has a significant impact on athletic performance. Although athletes participating in sports demanding agility performance are at risk of acute collateral ligament, cruciate ligament, and meniscal knee injuries, the consequences of ACL injury are most deleterious. In the general population there is an estimated one in 3000 individuals who sustain an anterior cruciate ligament injury per year in the United States.60 Nearly 50,000 ACL reconstructions are performed annually, creating an approximate financial impact of 850 million dollars.39 Pathologic knee motion due to ACL rupture, occurs 50% more often then isolated MCL injuries, supporting the belief that the ACL is the most frequently ruptured ligament in the knee.99 At the collegiate level, documented ACL injury accounts for approximately 32% of knee ligament injuries, second only to collateral ligament injuries for the sports of basketball and soccer.5 Although information is not readily available with regards to the number of ACL injuries at the collegiate level requiring surgical reconstruction in order return to a full pre-injury functional level of participation, athletes predominantly opt for surgical reconstruction sinces the outcomes are poorer for competition at a high level with ACL deficiency. Slight-to-moderate changes in the articulating surfaces of the knee, equivalent to osteoarthrosis occur in over 80% of individuals with ACL injury.81 Therefore, the need for surgical reconstruction to restore knee stability, associated surgical and rehabilitation costs, significant time loss from participation, and the long term consequence of developing osteoarthritis following ACL injury further substantiate the need to determine what factors contribute to this injury.81, 129 The cause of ACL injury is believed to be multifactorial.45, 49, 62, 63 In 2001, 2003, and 2006 a group of interdisciplinary researchers gathered as part of a collaborative effort to address which factors are associated with the incidence of ACL injury and plausible reasons for gender differences 86, 87. Non-contact injury mechanisms account for 70-78% of all ACL ruptures in the athletic population.15, 97 Arendt and Dick5, subsequent to a 5-year period of injury surveillance through the National Collegiate Athletic Association, reported knee injuries of male and female soccer players account for 17% of all injuries for that sport. Over the same year period, knee injuries account for 15% of all injuries for male and female basketball players. These knee injury rates remained stable at the collegiate level from 1990-2002.1

83 Female soccer and basketball players are 2-4 times more likely to suffer ACL injury than males.1, 5 and the rate of ACL injuries for females is significantly higher than males, regardless of the sport.1 Incidence of ACL injury rates for females is 0.33 and 0.29 per 1000 exposures for the sports of soccer and basketball respectively. In comparison, the incidence of ACL injury rates for males is 0.11 and 0.08 per 1000 exposures for soccer and basketball.1 Agel et al.1 report ACL injury rates remain stable for male and female collegiate basketball players across a 13 year span. However, the incidence of ACL injury for male soccer players has decreased significantly whereas for female soccer players it has remained constant. Collegiate soccer players are more likely to suffer ACL injury than basketball players. These data support existence of a significant inconsistency of ACL injury rates between males and females as well as a significant effect of sport. In effort to address injury rate and gender differences related to ACL injury, researchers have investigated and categorized the contributing factors as anatomical, hormonal, neuromuscular, and biomechanical.86, 87 Additionally, clearly determining the possible mechanisms of non-contact ACL injury is still necessary. Anatomical characteristics are generally non-modifiable, meaning the size of the anatomical structures and relationships between the structures are intrinsic to the individual. While researchers recognize that intrinsic structural characteristics can be identified, determining whether these differences are related to the differences in ACL injury rates in particular populations is still under investigation. The possibility of hormonal influences on structural behavior and motor control offers significant potential in identifying differences between males and females. The practicality of using the knowledge of hormonal contributions to ligament disruption to prevent injuries still requires elucidation; however it may contribute to the explanation of gender differences in the rates of ACL injury. Identifying neuromuscular control strategies utilized during activity can aid in understanding how athletes produce joint position and movement. The affect of gender and maturation on neuromuscular control cannot be ignored as evidence of differences in coordinated muscle responses may have a significant impact on joint stiffness, loads, and three dimensional movement patterns of the knee. While neuromuscular control and biomechanical factors are related, the association between the two requires further exploration. Namely, does neuromuscular control drive the resulting biomechanical kinematics and kinetics or visa versa? It is more plausible that there is a delicate balance between the two and developing

84 a clearer understanding of the relationship will help in identifying what variations in neuromuscular behavior increase the risk of ACL injury. There is greater potential to modify neuromuscular and biomechanical behavior through movement education and correction, driving the surge of investigations that consider these contributing factors and intervention programs. Despite current contributions to the literature with regard to anatomical, hormonal, neuromuscular, and biomechanical factors associated with ACL injury, evidence of how the ACL is loaded in vivo during high risk maneuvers such as abrupt stopping, jump landings and rapid changes in direction while running is not known. Researchers are encouraged to investigate the neuromuscular and biomechanical impact of out of plane movements on the ACL. First, we must quantify the ordinary and therefore potentially optimal movement patterns for these tasks, and then identify unusual and potentially detrimental expressions of these patterns. In doing so, we may conclude that certain athletes demonstrate movement behaviors that place them at greater risk for ACL injury, regardless of gender, albeit more females may possess these characteristics in greater proportion to males. This research study is specifically aimed at objectively measuring the effect of three different maneuvers utilized by athletes to rapidly change direction while running. As a biomechanical study, kinematic and kinetic differences between these three tasks will be identified. The three maneuvers include: 1.) lateral false step, 2.) sidestep cutting, and 3.) lateral false step performed in combination with a sidestep cutting maneuver. A lateral false step is represented by increasing the distance of a single step within a running stride in the lateral direction (as a percentage of body height) and then immediately returning to the original path of travel. In effect, it is a step into one direction without continuation of travel in the direction of the false step. This step is misleading to the opponent and serves to misdirect or evade the opponent during athletic performance. Previous research has demonstrated that a lateral false step performed within straight ahead running produces significantly different knee positions and moments in the sagittal, frontal, and transverse planes than running alone.43 There is a substantial amount of research devoted to sidestep cutting8, 10, 24, 26, 82, 89, 90, 93, 94

, however in these studies, the preceding movements of the individual performing the maneuver

are controlled such that the subsequent change in direction is executed without hesitation or misdirection. This type of sidestep cutting maneuver is performed to rapidly accelerate the athlete past the opponent and

85 serves as the evasive maneuver exclusively. Sidestep cutting also results in significantly different knee positions and moments compared to running in the sagittal, frontal, and transverse planes. Out of plane positions and moments in the frontal and transverse planes are believed to contribute to ACL strain and potentially increase the risk of ACL injury. Females demonstrate greater knee frontal and transverse plane positioning of the knee than males in sidestep cutting tasks.82, 92-94 Based upon the evidence that both lateral false step maneuvers and sidestep cutting result in potentially dangerous knee positions and knee loads, it seems appropriate to investigate the effect of a combination of both maneuvers on lower extremity position. This information could help in determining if performance of a lateral false step in combination with sidestep cutting is more hazardous then either maneuver in isolation. As athletes will commonly perform any of the three maneuvers during multi-directionally dependent sports, this information may help to better define the mechanism of injury for the ACL associated with rapid changes in direction. Structurally, the ACL serves as primary restraint to anterior tibial translation as well as secondary restraint to tibial internal rotation and varus/valgus angulations, particularly in knee positions near full extension when an external load is applied to the knee.17, 85 The bony origin of the ACL is 11-24 mm in diameter, attaching on the posterior part of the inner surface of the lateral femoral condyle. Traveling through the intercondylar notch in an anterior-medial and distal direction, the ACL fans as it nears insertion anterior and slightly lateral to the medial intercondylar tubercle of the tibial plateau.33 The insertion site averages 8-12 mm in width and 14-21 mm in the anterior-posterior direction. It is generally reported the ACL is divided into two bundles, the anteriomedial (AMB) and posteriolateral (PLB) respectively, with a length of 22-41 mm. During passive knee flexion the AMB tightens and the PLB is relatively lax. As the knee approaches terminal extension the PLB tightens and the AMB remains relatively taut.33 In vivo studies of ACL loading patterns most often consider the ACL complex as a single structure. Objective measurement of the femoral intercondylar notch is typically determined as a ratio of epicondylar width to notch width, reported as reverse notch width index (NWI). The range of NWI has been reported to fall between 0.21 to 0.25.33 Concerns related to NWI and ACL diameter have centered on the idea that notch width stenosis may be a predisposing factor for ACL tear. Statistically smaller NWI have been reported in patients who have suffered ACL rupture; however, evidence is less clear regarding

86 NWI differences between males and females as both gender related differences and a lack of gender related differences have been reported. This may be due to the fact that a large range of NWI ratios exist and there is considerable overlap between males and females.33 Extrinsic measurement of the tensile strength of the ACL depends upon size and shape of the structure. Typically, the structural behavior of the ACL includes measurement of the bone-ligament-bone complex and is described with a load-deformation curve. Ultimate load to failure for the femur-ACL-tibia complex is reported to be 2160 ± 157 N, with a linear stiffness of 242 ± 28 N/mm.129 Ultimate load and linear stiffness of the complex reduces with age. In vivo studies have demonstrated that the ACL undergoes positive strain during isometric quadriceps contraction from positions of full knee extension to 40° of knee flexion, during active range of motion, clinical loads with a Lachman’s test of 150N at 30° of knee flexion, and squatting.12, 13 Although the strain response of the ACL is well documented in nonweight bearing and low level activity conditions, less information is available regarding ACL behavior under more dynamic loading. The interaction of ligament forces, joint surface contact, externally applied loads and muscle activity affords the capacity of the knee joint to withstand various types of loading and large external forces.129 Therefore, determining how the ACL responds during locomotive activities is a more complex endeavor. Until further information is available, researchers are relegated to relating what is known about ACL strain behavior in non-weight bearing and low level weight bearing activities in order to predict how the ACL may be injured during more dynamic activity. In addition to the ACL’s role in providing mechanical stability to the knee, it has been suggested the ACL serves a proprioceptive function. This idea is largely based upon histological evidence of proprioceptive nerve ending located in the human ACL.14, 66 In 1966 Freeman and Wyke41 proposed that articular mechanoreceptors normally contribute significantly to postural regulation and muscle tone. Although the ACL potentially serves as a joint afferent receptor, the role of the capsule, collateral ligaments, muscle and tendon afferents cannot be ignored. The research of Solomonow et al.121 in 1987, has led many to believe that the ACL constitutes part of a protective reflex arc, whereby mechanical stimulation of the ACL facilitates hamstring activity. More recently, Tsuda et al. 122 demonstrated electrical stimulation of the ACL results in direct increase in biceps femoris and semitendinosis hamstring muscle activity. The hamstrings are protective of the ACL, preventing anterior translation of the tibia;

87 therefore existence of a reflex arc is intriguing. However evidence of the significance to which the reflex arc contributes to protection of the ACL during dynamic activity is not available. Assessment of proprioception of the knee by Pap et al.106 suggests that subjects with ACL-deficient (ACLD) knees do not have a difference in the threshold to detection of passive movement (TTDPM) compared to the contralateral limb.106 These researchers also reported that ACLD patients have no difference in TTDPM compared to healthy controls, but do have increased incidence of failure to detect passive movement, therefore a proprioceptive deficit. Contrary these results, Fischer-Rasmussen36, when comparing ACLD, ACL-reconstructed (ACLR) and healthy controls, report TTDPM is reduced in ACLD and ACLR knees, but no difference in joint position sense between any groups. One would expect there to be consistent differences in proprioception between subjects that have suffered ACL injury and the healthy population if the ACL functions as a proprioceptor, however, as Pap et al. have discussed, input from the ACL and other capsular and ligamentous structures may provide a different proportional amount of afferent feedback from the knee. This may help to explain contradictory results of the investigation of knee proprioception. The role of proprioceptors in the ACL during normal daily activities, in which small loads are applied to the knee and critical end ranges of knee motion are unlikely to occur, may be less consequential then contributions made during strenuous dynamic activity. Rozzi et al.112 suggest that excessive joint laxity of women appears to contribute to diminished joint proprioception, making the knee less sensitive to potentially damaging forces, therefore increasing the possibly of risk for injury. However the relationship between laxity and proprioception is still unclear. The extent and means to which proprioceptive input from the ACL contributes to knee stability in high demand activities warrants further quantification. Skeletal dimension, as it is related to lower extremity alignment, is another intrinsic factor entertained as a possible predisposing factor for ACL injury. Specifically, the quadriceps (Q) angle, which is created by two imaginary lines: 1.) from the anterior superior iliac spine to the center of the patella, and 2.) from the center of the patella to the tibial tuberosity, is a skeletally based measure useful in evaluating lower extremity alignment. Females generally have a larger Q angle than males, although skeletal contributions to this difference are not clearly understood. The assumption that females have wider pelves then males has been discounted regardless of whether width is expressed as a measure of biiliocrital, bitrochanteric, or ASIS-ASIS breadths.18 Further attempts to credit the difference to be the result of pelvic

88 width and femur length have resulted in poor correlations to Q angle.18, 58 Byl et al.18 suggest consideration of the fact that the patella, which is mobile and therefore responsive to muscular contraction, be considered as a potential contributor to variations in Q angle. These authors reported a weak but significant relationship between knee extensor torque and Q-angle. This outcome lends potentially greater usefulness because Q angle was measured in standing. Since an increase in Q angle may be related to an increase in knee valgus, determining Q angle in a more functional position, as opposed to a supine non-weight bearing position, offers a more useful estimate of lower extremity alignment. Although Q angle is determined from two rigid landmarks on the pelvis and tibia, the position of the patella, while relying on quadriceps tension, will secondarily depend upon the angle of tension produced by the quadriceps. Frontal plane alignment of the femur logically relies on hip abductor strength or tension. At this time, there are no reports on the relationship of hip abductor strength and Q angle. Further identification of hip abductor weakness as a contributor to lower limb alignment offers potential modification through identifying weakness and implementing appropriate intervention. Therefore, investigation of Q angle in a standing position in addition to hip abductor strength with comparison among males and females is warranted. Sex hormones have been considered as having an influence on ACL strength and stiffness and are therefore implicated as a potential risk factor for ACL injuries, particularly in females. During the course of the menstrual cycle concentration of endogenous circulating hormones fluctuate considerably, namely estrogen and progesterone. The demonstrated presence of receptors on the ACL for estrogen and progesterone suggests that ligament structure and function may be affected by circulating hormones.75 Researchers have determined ACL cellular metabolism is decreased in the presence of increased estrogen levels.132 Specifically, fibroblast proliferation and procollagen synthesis (Type I) express a dose dependent acute reduction, resulting in diminished strength of the ACL for a period of 3-7 days. Progesterone appears to attenuate estrogen effects, especially in the presence of reduced estrogen concentrations.133 The normal 28-day menstrual cycle is characterized by two distinct phases in addition to menses. The follicular phase represents the period from the onset of menses until ovulation occurs (day 14 ± 2). The luteal phase starts immediately after ovulation and last for 14 days.6 Concentrations of estrogen and progesterone are lowest during menses. Estrogen concentration reaches peak just before ovulation, drops

89 sharply, to rise again with a broad peak during the luteal phase. Progesterone concentration rises gradually, beginning just before ovulation, also reaching a broad peak in the luteal phase.120 The effect of estrogen and progesterone on knee joint laxity has received recent increased attention. However, results are contradictory. Heitz et al. reported an direct relationship between the concentration of estrogen and progesterone with ACL laxity for females.50 Assessing hormone plasma concentrations through blood sample and ACL laxity with the KT-2000 knee arthrometer at three phases of the menstrual cycle, the authors reported greatest laxity during the luteal phase. Additionally ACL laxity increased in conjunction with increased estrogen levels from baseline during the follicular phase and with increased progesterone levels from baseline during the luteal phase. No significant differences in knee joint laxity were reported for males across a similar time period. Shultz et al.116 demonstrated estradiol (the principle estrogen produced by the follicular cells of the ovary), progesterone, and testosterone concentrations contribute to changes in knee laxity across the menstrual cycle. Interestingly, this relationship was stronger when hormone concentrations are compared to knee joint laxity 3-4 days later, suggesting there is a time shift between hormone fluctuation and laxity. ACL stiffness has also been reported to correlate to estradiol concentrations in active females, decreasing during periods near ovulation30, 111 and the luteal phase.30 Conversely, there is an equally persuasive amount of information demonstrating that knee joint laxity does not vary during the menstrual cycle.7, 68, 123 Most recently, Beynnon et al.11 reported that although females have greater knee laxity compared to males, overall laxity does not change over a normal menstrual cycle, indicating no relationship between estradiol and progesterone fluctuation and laxity measurements. The authors offer their findings may differ from contrasting reports demonstrating a positive relationship and knee joint laxity due to differences in serum hormone concentrations in subjects in the different studies. Also, although repeated measurements of knee laxity were found to be slightly different, the variability of the repeated measurements may be large enough to prevent evidence of significance. Due to the lack of agreement with regards to hormone fluctuation and hormone concentration further investigations are needed. Testosterone has received much less attention with regards fluctuation and concentration across the menstrual cycle. Shultz et al.116 reported small but significant fluctuations in testosterone levels in

90 females across the menstrual cycle. Although testosterone levels are known to vary across women according to the nature of physiological stress, this finding was unique and invited further investigation. Subsequently Lovering and Romani80 determined the presence of androgen receptors on the female ACL but found although the ACL is an androgen-responsive tissue testosterone is not an independent predictor of ACL stiffness near ovulation. To date, there is a dearth of information available with regards to the effect of menstrual cycle on athletic performance. In a review of the literature, Lebrun72 suggests that since the possibility that some physiological responses may change during the menstrual cycle, researchers using females as subjects should standardize the phase of menstrual cycle in which they are tested. Cycle-phase detriment to performance has been reported retrospectively in 37-64% of females, whereas 13-29% report improvement during menstruation.71 Best athletic performances occurred most often in immediate postmenstrual days, with the worse performances during the premenstrual interval and the first few days of menstrual flow. Survey data provide subjective quantification of the relationship between menstrual cycle and performance, however, lack objective measurement of menstrual cycle phase and endogenous hormone concentrations. Additionally, the term performance is ambiguous and represents several possible indicators (e.g. muscular strength, muscular endurance, aerobic capacity). Sarwar et al.114, in 1996, determined that quadriceps and handgrip voluntary isometric force increased at mid-cycle compared to the follicular and luteal phases in females not taking oral contraceptives, and suggest increases in estrogen prior to ovulation contribute to these differences. Posthuma et al.109 reported fine motor function is better during the late luteal phase than the follicular phase in females having asymptomatic premenstrual symptoms compared to those that are symptomatic. Hewett51 suggests estrogen may have significant effects on neuromuscular control for female athletes. ACL injury rates have been reported to be increased at different phases of the menstrual cycle. In an investigation of team handball players, Myklebust et al.101 reported a majority of ACL injuries occurred during the late luteal phase of females, with the second highest incidence during menses, suggesting there may be an increased risk of ACL injury during the week prior to or after the start of the menstrual period. Slauterbeck et al.120 reported a majority of females suffered ACL injury during the follicular phase and 27% of these injuries occurred immediately prior to and during the first 1-2 days of menses. However,

91 Wojtys et al.128 reported more injuries around ovulation and significantly fewer injuries in the follicular and luteal phases. In light of the results of reported injury rates and cyclical fluctuation in endogenous hormones and knee laxity, there is a lack of determination of the relationship between hormonal fluctuations and injury rates. Although increased ACL laxity appears to be concomitant with increased estrogen concentration, the available information with regards to ACL injury rates for females does not conclusively support increased injury incidence during times of the menstrual cycle when estrogen concentration is highest. Part of the confounding results may be due in part to the methods used to determine the phase of menstrual cycle in which the injuries occur, specifically self reporting, and the small sample sizes reported in these studies. Researchers have yet to determine the relationship between ligament laxity and injury risk, regardless of the effect of gender. Investigations which compare neuromuscular and biomechanical variables across different phases of the menstrual cycle are warranted. Until further information is available, researchers should acknowledge the potential effect of menstrual cycle phase on knee joint laxity and neuromuscular control and standardize the phase of cycle in which female subjects are tested in neuromuscular and biomechanical investigations. ACL injury can occur due to contact with an opponent but predominantly ACL injury is due to non-contact mechanisms, whereby the ligament fails while performing locomotive movements. Noncontact ACL injury reportedly accounts for 70-78% of all ACL ruptures in the athletic population.15, 97 Non-contact ACL mechanism of injury, in sports such as basketball, soccer, volleyball and football is most often associated with rapid deceleration.15 Rapid deceleration commonly occurs in three situations: 1.) double or single leg landing from a jump45, 97, 2.) stopping suddenly when running 45, 97, and 3.) redirecting the path of travel with a plant to cut and run technique.3, 15, 26 Jump landings and sudden or abrupt stops are associated with either a double or single leg landing. Ireland 63, based upon video analysis of several non-contact female knee injuries, identified these types of stops to be rapid and awkward, developed in the presence of forward momentum, and demonstrated with consistent postural constraints, such as an upright trunk and limited knee flexion. The timing of the injury is believed to occur quickly after initial foot contact, when the knee is closer to full extension.15, 103 In this position abnormal internal/external rotation and valgus positions of the knee are potentially more harmful

92 to the ACL.85 Additionally, positions of the foot, hip and trunk, relative to the knee, create complex segmental relationships which are believed to more likely produce significant ACL strain, making the knee victim to the distal and proximal segmental positions and muscle activity.63 Awkward landings are coupled with increased foot pronation, external tibial rotation, internal femoral rotation, and limited hip flexion at the time of the abrupt deceleration.63 This landing posture is compounded by a position of hip abduction63, offsetting the center of mass from the knee, resulting in knee valgus buckling. These landings have the intended goal of controlling the center of mass and maintaining balance over the base of support but in the absence of appropriate segmental alignment and muscle contribution to dynamic stability the ligaments may be disproportionately required to resist loads in out of plane positions. Often the rules and environmental restrictions of the sport being played dictate what athletes intend to do upon landing. For example, a basketball player landing after obtaining a rebound will likely attempt to quickly jump again to shoot the ball or maintain control when landing to avoid taking extra steps and look to pass the ball to a teammate or dribble the ball. A receiver in football attempting to catch a ball near the sideline will attempt to land as to obtain control of the ball in bounds. A front row volleyball player who has hit the ball will be restricted by the need to avoid net contact and the need to read the defense return of the ball and reposition quickly to jump again for a block. Contextually, all of the described scenarios can result in an awkward, out of plane landing. Rapid changes in direction while running also have potential to create extreme out of plane joint positions, however, there is less concise information available with regards to this mechanism of injury for the ACL. Self reporting by athletes and observations by clinicians5, 15, 97 have resulted in rapid changes in direction being categorized as a cutting maneuver. The predominant research paradigm for a cutting maneuver involves straight ahead running abruptly redirected at an angle of 30-90 degrees from the original direction of travel.3, 8, 10, 24, 26. 82, 90, 93, 94 This maneuver has been termed sidestep cutting and the potential for ACL disruption is theorized to occur due to a combination of frontal, sagittal, and transverse plane knee positions and loads. Although a combination of stresses on the knee result during typical sidestep cutting, research to substantiate whether the resultant stresses are significant enough to disrupt the ACL and which combination of stresses are the most deleterious to the ACL, remain to be determined. Currently, the focus

93 is on resulting knee valgus and rotation and the concomitant hip adduction and rotation in addition to foot pronation during sidestep cutting.91, 92 At this time it is unclear if the detrimental knee position during sidestep cutting and jump landings are identical, therefore further investigation of the sidestep cutting mechanism is warranted. Increased hip abduction is not typically found during traditional sidestep cutting techniques. However, current sidestep cutting studies do not allow for a position of increased hip abduction since subjects are required to perform a pure form of sidestep cutting maneuver without any other ‘pre-cutting’ alterations in performance. Whether or not a position of increased hip abduction is preventative to knee valgus, or can increase the consequence of abnormal knee valgus is not clear. This may help explain the differences between proposed mechanisms of injury for jump landing and cutting conditions. The purpose of the performing a sidestep cut during running is to misdirect or avoid an opponent. As with landings, the athlete must control the center of mass over the base of support in order to maintain balance during the evasive maneuver. However, this maneuver does not demarcate the end of a locomotor skill as clearly as a jump landing, rather it is a skill used to transition between two directions of travel. The distinct beginning and ending of running direction are less clearly defined. In order to produce an effective evasive maneuver the athlete must: 1.) perform the sidestep cutting maneuver powerfully to accelerate past the opponent and gain an advantage or 2.) increase the deception associated with the maneuver, thereby creating a response by the opponent which is increases the likelihood the athlete will gain an advantage into available space. Several options are available to deceive an opponent. Brief hesitations in running direction or a false step into a direction different then the one the athlete intends to run are commonly performed during sports that require rapid changes in direction. The performance of a rapid change of direction while running must also be considered with regard to the sporting environment. A running back in football has a primary goal to avoid contact by an opponent, overall making progress with the ball toward the goal line. He may try to evade his opponent by sequencing short runs lateral and diagonal to the desired direction and transition from running in one direction to another with a powerful plant and cut maneuver. Typically he runs lower, generating power from the lower extremity to protect him from imminent contact and maintain possession of the ball and obtain forward progress. A wide receiver will change direction as part of a pre-determined pass route and

94 once he obtains possession of the ball may adopt a similar running style of the running back, depending upon the area of field and relationship to the other defenders. Successful execution of the pass route depends in part on his ability to execute the change of direction in the route to gain advantage over his defender. Therefore, the football player must successfully change direction with and without possession of the ball. Rapid changes with and without the ball occur in basketball and soccer as well, although the most obvious difference is that neither of these sports allows individuals to hold onto the ball and run. These athletes must maintain control of the ball with coordinated dexterity of the hands or feet. Basketball and soccer players who are dribbling will utilize evasive maneuvers, at the same time maintaining and protecting the ball from the opponent. Logically, sequencing of hesitations and false steps in a variety of directions, while overall desiring to bypass the defender and protect the ball necessitate a different overall rhythm without the consequence of receiving direct contact like the sport of football. An offensive basketball player is not as concerned with avoiding or preparing for contact, but rather utilizes quick deceptive movements to potentially place the defender in a position of disadvantage so the ball handler can move into more freely available space. Although pure side step cutting may be utilized to gain this advantage, it is unlikely that it occurs in isolation without a combination of a brief hesitation or false step into a direction different then the one the athlete drives into while dribbling. The basketball defender will spend a highly concentrated time moving laterally and or running forward to recover position and will attempt to avoid ensuing contact of screens set by opponents. The planting and cutting maneuver will most likely occur when transition is made from a lateral shuffle movement to a sprint or backpedal or vise versa or when the screen is anticipated. It is more likely that the defender will decelerate more suddenly while responding to the offensive player or ball movement for both the sports of basketball and soccer. The basketball offensive player will decelerate more suddenly to maintain ball control, avoid traveling, or stay in bounds while maintaining possession of the ball. The constraints of the playing area are greater for basketball than soccer and may contribute to the frequency and suddenness in which rapid changes occur, although this has not been substantiated in the literature. There is a paucity of qualitative evidence of the specific types of movements, frequency of occurrence and speeds at which these tasks are performed in sports that require rapid changes of direction.

95 Cutting maneuvers are not typically performed at maximum running speeds.93 It has been proposed that common running speeds in which run and cut maneuvers are performed range from 5.5 to 7.0 m·s-1.93 It is not known whether these speeds are representative of all types of sports, athletes, and male and female athletes. Anecdotally researchers agree that jumping, cutting, shuffling, backpedaling and running are typical. In an investigation of professional male basketball players, McClay-Davis et al.88 found movements common to the sport (running, cutting, starting and stopping, lay-up take-off and landing, jump shot take off and landing, vertical jump take off and landing and shuffling) result in different knee and ankle positions and joint velocities. Knee flexion was relatively similar for all tasks with the exception of starting, vertical jump take-off, and shuffling. These movements required larger knee flexion angles on average. Stopping and shuffling tasks had larger maximum knee extension, suggesting the knee is relatively more flexed throughout the movement. Knee flexion velocity was found to be higher for activities such jump landings and lay-ups. Despite the information provided by this study, there is a considerable lack of information available on these similar characteristics for other sports, for example soccer and football. Characterization of the typical frequency, sequencing, speed, and distances over which these movements are performed, and secondly if differences exist across sports, would likely improve quantifying exposure rates to potentially injurious movement patterns. Researchers have adopted the term neuromuscular control to identify mechanisms and strategies for enhancing joint stability and positioning during movement tasks. Griffin et al.45 state neuromuscular control refers to the “unconscious activation of dynamic restrains surround a joint in response to sensory stimuli”. Neuromuscular control is a component of the broader area of motor control. Motor control is the ability to regulate or direct the mechanisms essential to movement.117 Motor control relies on an interaction of the individual, task and the environment through cooperative action of the peripheral and central nervous systems and muscular systems. Therefore, an argument can be made that conscious activation of dynamic restraints surrounding a joint also play a role in neuromuscular control. Behavior can be learned and trained to be appropriate to the specific task and relative to the environment in which it is required. Perception, which is the integration of sensory impressions into psychologically meaningful information, and cognition, which includes attention, motivation, and emotional aspects of motor control, underlie our intent and ability to act effectively in the environment.117 Understanding the role that

96 neuromuscular control has in the prevention of knee ligament injuries and the consequences of impaired neuromuscular control subsequent to injury has led to intense interest in the study of this area of research related to ACL injuries. Neuromuscular control is related to several important variables: 1.) proprioceptive feedback, 2.) short and long latency reflex responses, 3.) synergistic muscle recruitment, 4.) feedforward mechanisms for muscle activation, and 5.) muscular strength. The interplay amongst these variables directly affects the timing and recruitment patterns of muscular activation, providing coordinated and appropriate muscle activity to control position during locomotive skill performance. Knee joint stability is dependent upon passive and dynamic restraints. As already discussed, key passive restraint to anterior translation of the tibia is provided by the ACL. Knee positions during activity, which result in increased loads on the ACL, can be managed dynamically through activation of muscles that act directly to control knee position and indirectly to control foot, tibia and femur position at the ankle and hip. Three of the four quadriceps muscles originate directly on the femur, whereas the rectus femoris, a biarticulate muscle, originates on the pelvis. All four form a common insertion onto the tibial tuberosity. Therefore, a great capacity to control tibia and femur position is possible in the sagittal plane. The hamstrings however, have a directly opposite relationship to the femur and pelvis as only one of the hamstring muscles originates on the femur and the remaining three originate off of the pelvis. Three distinct insertions of the hamstrings onto the tibia and fibula on the medial and lateral aspect of the knee lend to the capacity of the hamstrings to individually help control transverse position of the leg, and collectively, position of the tibia relative to the femur in the sagittal plane. The hamstrings originating on the ischial tuberosity of the pelvis are more likely to affect pelvis position than the single quadriceps muscle (rectus femoris) which originates on the anterior superior iliac spine. The semitendinosis, semimembranosis and long head of the bicep femoris are secondary hip extenders in addition to primary knee flexors. Therefore, they contribute to femur position through their primary contributions to pelvis and tibia motions. Position of the femur in the frontal plane is primarily controlled by the hip abductors and hip adductors. The gluteus medius, acting from the iliac crest to the greater trochanter of the femur, is a primary hip abductor and assisted by the tensor fascia latae insertion into the iliotibial tract, which inserts on the lateral aspect of the knee. Hip adduction is created by several large adductor muscles which have

97 origin from the pelvis tubercle and insertion on the femur in addition to the biarticulate gracilis muscle. The gastrocnemius muscle, also a biarticulate muscle, crossing both the knee and the ankle, contributes to knee flexion, ankle plantar flexion, and internal and external rotation of the femur relative to the tibia.113 Norkin and Lavangie102 suggest the gastrocnemius contributes more minimally to knee flexion than ankle plantar flexion, and dynamically stabilizes the knee by resisting large extension torque at the knee during normal gait. Although most muscle function is defined relative to origin and insertion across specific joints, realistically, synergistic action of muscles in planes other then normally identified is important for neuromuscular control. Lloyd and Buchanan79 found hamstring and quadriceps co-contraction provided significant support in conditions of increased valgus and varus loads on the knee, in addition to the gracilis and tensor fascia latae. Similarly, Besier et al.8 suggest co-contraction of the hamstrings and quadriceps help to counter external valgus loads at the knee. Therefore, it seems evident that consideration of muscle activity during athletic maneuvers should not be relegated to the prime movers for particular movements, but rather globally to lower extremity stability and function. Muscle synergies have long been identified to help control postural perturbation, therefore determining if specific patterns of muscle activation are beneficial to the control of lower extremity position and reduction of hazardous loads on the knee is important in the study of ACL injury. Most of the research related to muscle activity at the knee has focused on the strength and activation patterns of the quadriceps and hamstring muscles. Huston and Wojtys61 and Anderson et al.2 report male athletes have greater quadriceps and hamstring strength, even when adjusting for body weight, than female athletes. Primarily knee extenders, the quadriceps are considered ACL antagonists since isolated activation of the quadriceps at knee flexion angles from 0-80° produces significant anterior tibial translation.56 Anterior translation is greater between 0-30° of knee flexion compared to positions between 30-90° of knee flexion with isolated quadriceps load. 74 Peak anterior translation reportedly occurs at 30° of knee flexion.56, 74 Primarily knee flexors, the hamstrings are considered agonists to the ACL, since activation of these muscles results in posterior translation of the tibia. Hamstring activation is more effective in producing posterior translation of the tibia at knee flexion angles greater then 15° because these muscles have a relatively low mechanical advantage between 0-15° of knee flexion.74 Furthermore, Pandy

98 and Shelbourne104 state co-contraction of the hamstrings and quadriceps cannot protect the ACL near full knee extension because the hamstrings meet the tibia at smaller angles and cannot apply a sufficient posterior shear force to the tibia. Consequently, ACL strain is reduced with co-contraction of the hamstrings and quadriceps, particularly at angles greater then 15° of knee flexion.13 Isolated quadriceps load eventually results in posterior translation at 120° of knee flexion.74 This is due to the change in the direction of pull of the quadriceps relative to the tibia at greater knee flexion angles. Therefore, the relative strength of the quadriceps and hamstrings play an important role in dynamic stability of the knee and inadequate strength may result in less protection available for the ACL, particularly at knee positions closer to full extension. Huston and Wojtys61 determined males and females demonstrate different activation patterns of the quadriceps and hamstrings subsequent to anterior tibial perturbation. In a position of 30° knee flexion, female athletes relied more on the quadriceps and gastrocnemius muscles to resist anterior tibial translation initially, whereas males more frequently recruited the hamstrings to resist anterior tibial translation. This appears counterintuitive since the quadriceps is antagonistic to the ACL at a position of 30° of knee flexion. Although the non-contact mechanism of ACL injury does not include mechanical perturbation of the tibia, the results are none-the-less interesting. Hewett et al.52, 55 suggest that females tend to demonstrate a quadriceps dominant recruitment pattern when performing activities such as jump landings. This pattern is believed to place more strain on the ACL. Whether or not this phenomenon is due to habitual quadriceps dominant recruitment patterns or preexisting imbalanced quadriceps to hamstring strength ratios has yet to be determined. Integrated EMG (IEMG) of the quadriceps during cross over cutting and sidestep cutting tasks was found to be greater for females then males by Malinzak et al.82 This 17-40% increase in quadriceps IEMG was concomitant with an approximate 20% reduction of hamstring activity across stance. One of the strongest contentions by these researchers is neuromuscular training successfully reduces imbalances in quadriceps to hamstring strength ratios and diminish the quadriceps dominant recruitment pattern displayed by females. Evidence of the effects of training on improving knee stability through increased strength and appropriate recruitment patterns of the quadriceps and hamstrings deems neuromuscular control as an external variable associated with knee injury and therefore mutable.51

99 Contrary to this evidence, other researchers have reported no difference in muscle recruitment patterns between males and females on selected athletic tasks. Fagenbaum and Darling34 found no differences in hamstring and quadriceps activation immediately prior to and during jump landing tasks for female and male basketball players. Colby et al.24 reported that hamstring activity increases prior to foot contact for sidestep cutting and cross over cutting maneuvers but diminishes or remains constant after foot contact. Quadriceps muscle activation begins just before foot strike and peaks in the middle of eccentric motion during cutting, stopping and landing tasks. Although these authors studied males and females, comparison was not performed; therefore, muscle activation patterns for these selected tasks, was descriptive of both males and females. Likewise, Besier et al.8 found average EMG of 10 muscles of the lower extremity to be greater during cutting tasks then running for males. Evidence of selective coactivation strategies to stabilize the knee in varus-valgus and internal-external rotation directions when the cutting task was pre-planned as opposed to a generalized co-contraction of muscles during unanticipated cutting maneuvers, suggests pre-planned activation patterns better control loading of the knee in those directions. While is has been accepted sagittal muscle activation patterns control flexion-extension directions of the knee, this was one of the first studies to demonstrate control in the frontal and transverse planes. Despite investigations of muscle activity during jump landing and cutting tasks, there is inconclusive evidence of a gender effect on activation patterns. It can be accepted activation strategies are different across selected athletic tasks and excessive quadriceps torque can be detrimental to the ACL. However, the ability of quadriceps activation to be large enough to result in rupture of the ACL during these tasks is controversial. Theoretically, because landing and cutting maneuvers will generate large quadriceps forces, especially in positions of smaller knee flexion angles, anterior shear force on the tibia will be increased. In an investigation of sidestep cutting, McLean et al.90 reported that sagittal plane knee joint forces are not large enough to rupture the anterior cruciate ligament. Through the use of Monte Carlo simulations to predict peak anterior drawer force at the knee during sidestep cutting maneuvers, values never exceeded 900N, well below 2160N, reported to be the injury threshold for the ACL in young adults.130 Their model included situations in which quadriceps force was nearly doubled and hamstring force was zero. These

100 results are in opposition to other researchers who propose that sagittal plane mechanisms can account for ACL injury in the presence of a powerful quadriceps muscle force.24, 104 The effect of sagittal plane muscle activation strategies and resulting loads on the knee cannot be ignored. McLean et al.90 advise combinations of resulting loads placed on the knee in the sagittal, frontal, and transverse planes may be required to injure the ACL. Determination of which muscle activation patterns in the entire lower extremity reduce or produce detrimental ACL loads and if gender differences exist, may offer a better explanation of the mechanism of ACL injury in landing and cutting tasks. Less information is available with regards to the effect of hip strength and it’s correlation to knee position during athletic tasks. Recently, in an investigation of eccentric hip abductor strength and knee joint kinematics during jump landing tasks, Jacobs and Mattacola64 determined that although there were no differences between male and female peak eccentric hip abduction strength (normalized to body weight), there was a significant inverse relationship between female’s peak eccentric strength and peak knee valgus angle. Specifically, females demonstrating larger eccentric peak torques were also found to have lower peak knee valgus angles during landings. These results are interesting; especially in light of the fact hip abductors have the capacity to control femur position in the frontal plane and excessive frontal plane valgus of the knee. Frontal plane knee valgus, the result of femur and tibial position, is theorized to contribute to ACL injury. Currently there are no investigations which report a correlation between hip abductor strength and frontal plane position of the knee during cutting tasks, or an effect of gender. This invites examination of these relationships in order to help understand how hip strength is related to lower extremity alignment during dynamic tasks involving rapid changes of direction. Biomechanical studies provide information about kinematics (the form, pattern, or sequencing of movement with respect to time) and kinetics (the relationship between forces acting on a system and the motion of the system). Advancements in technology have resulted in increased ease of collection and analysis of kinematic and kinetic data; therefore, there has been a recent surge of studies focused on the analysis of athletic movements. In particular, investigations focused on better describing joint position and loads during landing and cutting maneuvers have provided objective information related to mechanisms of ACL injury.

101 Males and females demonstrate different lower extremity mechanics in the transverse and frontal planes during running.35 Ferber et al. 35 found female recreational runners have significantly greater peak hip adduction, hip internal rotation and knee abduction angle compared to males. Therefore, it seems apparent that gender differences exist even in cyclical locomotor activities and plausible that differences will be evident during other athletic tasks. Early attempts to quantify the biomechanics of jump landings, sudden stopping, and rapid changes in direction have centered on identifying relative knee position and moments in the sagittal, frontal and transverse planes during these tasks. As previously identified, these three maneuvers are believed to be primary occasions in which non-contact ACL injury occurs. Anecdotal evidence of awkward landings being associated with limited knee flexion, foot pronation, tibial rotation, femoral rotation, and varying amounts of hip flexion at the time of the abrupt deceleration63 have spurned the generation of models to explain how these positions and relationships can be detrimental to the ACL. As such, current investigations not only focus on knee biomechanics, but the foot, ankle, hip and trunk as well. What is less clear, is whether the same segmental orientations during jump landing and sidestep cutting result in ACL injury? Researchers have proposed one of the contributing factors to the differences in ACL injury rates between males and females is due to the belief females generally perform athletic tasks with less knee flexion than males. Realizing there is less protection afforded the ACL due to co-contraction of the hamstrings and quadriceps of knee flexion angles less than 15°, this idea is inviting. However, there is conflicting evidence of females demonstrating a knee extension bias during athletic tasks. Colby et al.24compared the results of average knee flexion at foot strike in four different tasks: sidestep cut (22°), cross over cut (29°), stopping (14°) and jump landing (23°). Although the authors did not report the results of statistical comparisons of these knee flexion values, average knee flexion values (22°) for all of the tasks are similar to the knee position reported by athletes that could recollect the approximate knee flexion angle at the time of ACL injury.s97 No comparison of males and females knee flexion angles was reported in these two studies. Peak knee flexion angles have been found to be greater during lateral false step maneuvers compared to running in females, although a gender comparison was not available.43 In an investigation of knee joint mechanics during sidestep cutting for males, both McLean et al.93 and Besier et al.9 determined

102 peak knee flexion angles to be greater during sidestep cutting than running. Subsequently, McLean et al.94 reported that although the average range of motion for females and males was not different during sidestep cutting tasks, females reached peak knee flexion earlier across stance than males. However in another investigation, McLean et al.90 suggest females have less knee extension and hip extension at landing, limiting optimal control provided by sagittal plane muscles. Malinzak et al.82 reported that knee flexion angle was generally less during running, sidestep cutting and cross over cutting maneuvers for females than males. In an investigation of jump landing strategies for male and female collegiate athletes, Fagenbaum and Darling34 found females land with 10-14° more knee flexion than males. An increase in knee flexion during athletic tasks is deemed protective of the ACL. When individuals rapidly decelerate body mass in the sagittal plane, compensation for increased loading on the knee will occur by increasing knee flexion.93 Further investigation of the differences in knee flexion angles between males and females during lateral false step and sidestep cutting tasks is warranted. Interest in frontal plane knee position is currently at the forefront of investigations related to jump landings and sidestep cutting maneuvers. Hewett51 indicates that landing from a jump with either a valgus or varus lower extremity alignment creates a less stable position for the knee and further suggests that knee valgus is a predictor of ACL injury for females.54 In 1999, McLean et al.94 determined the knees of females to be more abducted near foot contact and remain more abducted throughout stance during sidestep cutting maneuvers than males. McLean et al. have also reported females perform sidestep cutting maneuvers in the presence of a defender with greater peak knee valgus and rearfoot pronation than males.92 Although the peak difference in peak valgus between males and females was 2° in this study, the authors determined this would lead to a 40Nm increase in the valgus moment; equating to an increase of 100%. These authors’ further report females sidestep cut with less peak hip flexion, hip abduction, and hip internal rotation than males. These results are in agreement with Malinzak et al.82 who reported that females have greater knee valgus across stance during sidestep cutting than males. However, other research has found no differences in peak knee valgus across stance during the first 0-40° of knee flexion.107 Pollard et al.107 tested male and female collegiate soccer players in conditions in which the cutting maneuver was performed in a randomized manner. Order of either cutting, straight ahead run, and jump stop were performed randomly in response to a visual signal. The results of knee valgus angles were determined from cutting trials only.

103 There is considerably less information available with regards to hip frontal plane position during athletic tasks. Pollard et al.107 found females demonstrate significantly less peak hip abduction during sidestep cutting than males, which is in agreement with McLean et al.92 Both authors investigated sidestep cutting in conditions where the subjects responded to external stimuli, Pollard et al. with visual signal related to performance of different tasks, and McLean et al. with the presence of defensive opponent. The relationship between hip abduction and knee abduction is interesting and the significance of this information may be helpful in explaining knee valgus. Therefore, consideration of hip position during athletic maneuvers warrants further investigation. Transverse plane motion at the knee during athletic maneuvers may also contribute to ACL injury. As previously indicated, during rapid stopping and jump landings, the mechanism of ACL injury is believed to be associated with external tibial rotation. Although the ACL functionally provides restraint to internal rotation, Markolf et al.85 measured increases in ACL force with externally applied external rotation at the knee with cadaver specimens. ACL force is greater during external tibial rotation in the presence of quadriceps force and increases at angles greater than 0° of knee flexion. Internal rotation produces greater ACL force than external rotation at all positions of knee flexion, but does not appear to be affected by the addition of quadriceps force. The possible explanation for external rotation contributing to ACL strain may be due to the change in orientation of the ACL relative to the intercondylar notch, i.e. an impingement pattern. Model simulations have been used to explain ACL impingement during positions of knee abduction and external rotation, particularly in the presence of a narrow intercondylar notch.42 Therefore, although not intuitive based upon the anatomical orientation of the ACL in the knee, it appears that external rotation in combination with knee valgus has the potential to injure the ACL. McLean et al.93 found sidestep cutting results in greater tibal external rotation when compared to running, subsequently reporting females display less internal rotation than males for this maneuver.92 These authors report no period of absolute internal rotation during sidestep cutting. Conversely, authors have reported no significant difference in peak knee internal rotation between males and females.107 Altering running stride by increasing the distance the limb makes contact with the ground in the lateral direction and then redirecting back into the original path of travel significantly increases knee internal

104 rotation compared to running.43 Therefore it appears sidestep cutting and lateral false step maneuvers have different effects on transverse plane motion at the knee, both potentially hazardous to the ACL. Few studies have reported hip rotation positions during athletic maneuvers. Available results are contradictory as researchers have reported no significant differences in peak hip internal rotation between males and females107, whereas others have found hip internal rotation to be greater for females then males.90 Interestingly, McLean et al.91 found knee valgus moments to be correlated to hip rotation, in addition to hip flexion and knee valgus. This lends support to the idea the entire lower extremity should be under consideration in helping to explain differences in knee position and possible mechanisms of injury. Jump landings and sidestepping are expected to produce significant moments (loads) on the knee than activities of daily living such as walking and running. The consequence of these different loads on ligaments and other soft tissues may be significant enough to produce injury. Hewett et al.55 state reducing valgus and varus torques at the knee and hip during landing potentially aid in stabilizing the knee joint and preventing injury. It appears females who demonstrate large abduction loads during landing are at increased risk of ACL injury.54 In a prospective study including 205 female athletes, Hewett et al.54 found athletes demonstrating dynamic valgus of 8.4° or greater and peak knee valgus moments of 27 Nm or greater were more likely to injure their ACL during their sport season. Frontal and transverse plane moments have been reported to be greater during sidestep cutting at 30 and 60°10 and lateral false step maneuvers43 compared to running. There is conflicting evidence of differences in frontal plane moments between males and females. Researchers have reported peak external knee valgus moments to be significantly greater for females than males for sidestep cutting.91 Conversely, Pollard et al.107 found no difference in peak internal knee adduction moments between males and females. These authors also reported no differences in internal hip abduction and external rotation or knee external rotation moments between males and females. Sagittal plane moments, specifically flexion, although larger than frontal and transverse plane moments, for both running and sidestep cutting, do not appear to be significantly different between tasks.10 Similarly, lateral false step maneuvers do not appreciably affect sagittal plane moments at the knee.43 The contention that sagittal plane forces are deleterious to the ACL because large quadriceps forces are evident in positions of relatively smaller knee flexion angles has been used to explain ACL mechanisms of injury.

105 Based upon a modeling estimation of peak anterior drawer force during sidestep cutting, McLean et al.90 propose forces never reach the critical value of 2000N in any simulated conditions. This is not to suggest loading in the sagittal plane cannot in part help explain ACL injury. Rather, sagittal plane loading in isolation may not explain ACL loading and should be considered in conjunction with loads in the frontal and transverse planes. In conclusion, knowledge of the potential contributing factors to ACL injury increases the ability of clinicians to recognize which characteristics the athlete possesses. Although certain intrinsic factors, such as ACL dimension and mechanical characteristics, and intercondylar notch width are not routinely and easily quantified in the healthy population, they aid in helping understanding how the ACL functions as a static stabilizer. Limb alignment is typically considered an intrinsic factor and non-modifiable, but identifying the effect of muscular strength on Q angle offers potential for intervention, thus reducing the effect of malalignment as a contributor to injury risk. ACL laxity appears to be related to increased estrogen levels during particular phases of the menstrual cycle for females. Relationship between ACL laxity, at risk phases of the menstrual cycle, and ACL injury have not been clearly delineated, however, consideration of hormone fluctuations and their effect on performance should be entertained during research related to maneuvers which are believed to put the ACL at risk of injury. Although there is strong anecdotal evidence of which conditions results ACL injury during athletics, it is not clear if the alignment of the lower extremity is overwhelming similar to produce injury during jump landings and cutting maneuvers. Both mechanisms appear to rely heavily on the effect of knee valgus. Awareness of which factors increase knee valgus offer great potential in understanding of not only the mechanism of injury but apparent differences in neuromuscular control and biomechanics between males and females. It appears females control of the center of mass over the base of support during landing and cutting tasks through the frontal plane more than through the sagittal plane compared to males. Less muscular support is available to dynamically control and stabilize the segments of the lower extremity in this plane and sagittal plane stabilizers are equally mechanically disadvantaged to offer synergistic control. The resulting solution would be to increase contribution from static stabilizers and consequently increasing risk of injury. In this end, ACL injury is related to several variables. As researchers continue to investigate the structural, hormonal, mechanisms of injury, neuromuscular, and biomechanical factors related to the anterior cruciate

106 ligament, we increase the possibility of predicting which athletes are at risk of injury and what interventions will best serve them, regardless of sport or gender.

107

APPENDIX B Date: HEALTH HISTORY QUESTIONNAIRE

ID#:

Oregon State University Department of Nutrition and Exercise Sciences Investigation of Running and Sidestep Cutting Tasks Demographic and Health History Questionnaire Please take the time complete this questionnaire thoroughly and honestly by checking the appropriate box and writing in the appropriate information wherever necessary. If you have any questions feel free to ask the investigator for clarification. PERSONAL Gender: ‰ Male ‰ Female

Age:

Date of Birth:

SPORT HISTORY Your primary varsity sport at the collegiate level is ____ soccer, _____basketball? How many years of competition have you completed at the collegiate level? 1 2 3 4 Are you or did you participate at the Junior College level? Y N If yes, # seasons?: How many seasons of organized participation did you complete in your primary sport prior to beginning your college career? High School Junior High Club or similar

0-1 0-1 0-1

2 2 2

3 3 3

4 4

5

What other organized sports did you formally participate or compete in during high school? None Basketball 1 2 Soccer 1 2 Volleyball 1 2 Softball 1 2 Baseball 1 2 Cross Country 1 2 Swimming & Diving 1 2 Track & Field 1 2 What were your primary events in track and field: Other sports not listed?

3 3 3 3 3 3 3 3

4 4 4 4 4 4 4 4

Number of seasons?

6 or greater

108

Health History: Upper Extremity (check the box for the appropriate response) Are you currently under the care of a physician or athletic Does this injury limit or prevent you from trainer for any of the following injuries? participating in conditioning drills, practice or competition at this time? Abdominal Strain Y N Low Back Strain Y N Shoulder Sprain Y N Elbow Sprain Y N Wrist or Hand Sprain Y N Other: Y N Comments: Yes No Do you have any other injury or complication with the upper extremity not listed that you are currently receiving medical treatment for that would hinder your ability to run at maximum speed? If yes, please explain.

Health History: Lower Extremity (check the box for the appropriate response) If yes, does this injury limit or If yes, have you had surgery Are you currently under the care of a physician or athletic trainer for any prevent you from participating performed to care for this injury or of the following injuries? Or have in conditioning drills, practice or a different injury to this body part? you suffered an injury to these areas competition at this time? If yes, please explain below in that kept you out of practice for comments section. more than three weeks during the six months? Toe or Foot Sprain Y N Y N Ankle Sprain Y N Y N Achilles Tendonitis Y N Y N Calf Strain Y N Y N Patella Tendonitis Y N Y N Knee Ligament Sprain Y N Y N Knee Meniscus Injury Y N Y N Thigh Strain: Quadriceps, Y N Y N Hamstring, Groin Hip Flexor Strain Y N Y N Low Back Strain Y N Y N Comments:

Yes No Do you have any other injury or complication with the lower extremity not listed that you are currently receiving medical treatment for that would hinder your ability to run at maximum speed? If yes, please explain.

109

Menstrual Cycle History: Females Only Have you had a regular menstrual cycle for the past 3 months? [A regular menstrual Yes No cycle means you have had your period (3-7 days in duration) every 28-32 days] Are you currently taking prescription oral contraceptive medications? Yes No What was the date of the start of your last menstrual cycle?

110 APPENDIX C

INFORMED CONSENT DOCUMENT Project Title:

Knee Kinematics and Kinetics as the Result of Combining a Lateral False Step with a Sidestep Cutting Maneuver Principal Investigator: Mark A. Hoffman, Nutrition and Exercise Sciences Co-Investigator(s): Grace M. Golden, Michael J. Pavol, Nutrition and Exercise Sciences WHAT IS THE PURPOSE OF THIS STUDY? You are being invited to take part in a research study designed to investigate differences in knee responses to different types of running tasks. These tasks include straight ahead running in addition to tasks in which you change direction while running. We believe the positions of the knee and stresses placed on the knee will be different in each of the running tasks. Secondly, we will be measuring hip strength and determining if there is a relationship between hip strength and knee position during running tasks. This research will be useful in helping to understand the cause of knee injuries in athletes. The outcomes of the study will be used for a student dissertation project and results will be submitted for publication and presentation to sports medicine professionals. We are studying this because we want to determine which tasks place the anterior cruciate ligament of the knee at risk for injury and whether or not there are differences between males and females in these tasks. WHAT IS THE PURPOSE OF THIS FORM? This consent form gives you the information you will need to help you decide whether to be in the study or not. Please read the form carefully. You may ask any questions about the research, the possible risks and benefits, your rights as a volunteer, and anything else that is not clear. When all of your questions have been answered, you can decide if you want to be in this study or not. WHY AM I BEING INVITED TO TAKE PART IN THIS STUDY? You are being invited to take part in this study because you are currently an active healthy high-level male or female athlete who competes at the collegiate level in basketball or soccer. You will be determined to be absent of significant injury to the lower extremities over the past 6 months, due to your completion of the general screening form that you will complete after reading this document. It is anticipated that 15 males and 15 females will participate in this study. WHAT WILL HAPPEN DURING THIS STUDY AND HOW LONG WILL IT TAKE? If you agree to participate, your involvement will last for approximately two hours. Only one session is required to complete this study unless due to unforeseen circumstances there are difficulties in administering the testing session. Should that be the case, you are entitled to withdraw from the research study if you do not feel you can volunteer the additional time. The following procedures are involved in this study. All data collection will take place in the Biomechanics Laboratory and Sports Medicine Research Laboratory, located in the basement of the Women’s Building at Oregon State University. Approximate times for each portion of the testing session are included in parenthesis following the description of the particular component of the session. Part I • Complete and sign the informed consent and demographic questionnaire. (10min) • Change in to the appropriate clothing attire: running shoes, compression thigh length shorts and either a sports bra or tank top (female subjects), per your comfort, if you are not already wearing the appropriate clothing. (5min)

111 • • •

• •





Your height and weight will be measured. (2 minutes) You will perform a comfortable five minute warm-up run on a treadmill at a speed of 5.0-7.0 mph. (5 min) Small adhesive markers will be place on particular landmarks on your limbs and trunk for camera measurement of your limb lengths and joints during the running tasks. There will be 18 markers placed on your legs and pelvis and 10 on your trunk and arms (including breastbone, left shoulder blade, lower portion of the neck, and low back), 4 on your head (with a headband). (8 min) A static trial will be measured. You will stand quietly on a force platform imbedded in the floor in a predetermined position. This allows us to measure your limb lengths prior to performing the running and cutting trials. (2 min) You will perform practice trials of regular running and different cutting maneuvers before data collection so you are familiar with the testing procedures. We will be looking for you contact the force plate with your right foot only. Also, we will monitor your running speed and want you to run at approximately 7-8 mph for each trial. This is faster then a jog but slower then a sprint. (5 min) Testing will begin, and you will perform 10 successful trials of each of the four different conditions: normal running, lateral false step maneuver, sidestep cutting maneuver, and a combination of a lateral false step maneuver with a sidestep cutting maneuver. A lateral false step maneuver is performed by running straight ahead, then taking a step to the side (widening a step compared to normal running) and then continuing to run forward. The distance of the widened step will be based upon your height. This distance will be 30% of your body height. For example, if you are 5’8” tall, distance you will lengthen your stride is 20 inches. Sidestep cutting involves running straight ahead and then changing your direction by 35-55 degrees from the original direction you were running. The last condition involves combining the lateral false step maneuver with the sidestep cutting maneuver. You will perform the conditions in the order of normal running, lateral false step, side step cutting, and combination of lateral false step with sidestep cutting. You can anticipate that you will complete between 50 to 60 running trials, which are approximately10 yards in length for the entire testing session (500-600 yards total running). You will be able to rest between each trial by walking back to the start location in the laboratory. You will only contact the force plate with the right leg. (40 min) When you are done with the running and cutting trials we will remove the markers and escort you to the Sports Medicine Laboratory for the second portion of the session.

Part II • You will participate in a measurement of your hip strength. This consists of measuring how much force you can produce with the hip abductor muscles. These muscles are located on the outside of your hip. We will be using a machine that controls the speed at which you move and measures how much force you produce during the movement. We will test you at a speed of 120 degrees per second. This is similar to a speed in which you might perform a leg extension exercise during weight training. You will be standing with your right hip aligned with the center of the machine. Your thigh will be affixed to the lever arm of the machine with a padded Velcro fastener. You will perform 2 sets of 5 repetitions. The first set is a practice set. You will have a 2 minute rest period before completing the test set. We will ask you to perform the strength testing with maximal effort. (10 min) • The final portion of the session involves a measurement of your lower extremity alignment. We will measure your standing quadriceps (Q) angle. This involves placing a plastic goniometer (two plastic lever arms which can rotate about a center fulcrum) on the top of your knee cap. The lever arms are aligned with two lines that are created from landmarks on your leg and pelvis. (10 min)

112

WHAT ARE THE RISKS OF THIS STUDY? The possible risks associated with participating in this research project are expected to be minimal. The running, lateral false step, sidestep cutting, and combination of lateral false step and sidestep cutting maneuvers are similar to movements you frequently utilize in your respective sports. Although this research study involves investigation of tasks that may be associated with the mechanism of serious knee injury, the speed of the running trials, distance of the lateral false step and sharpness of the sidestep cutting maneuver have been selected to minimize potentially hazardous stress on the knee but still provide simulation of a movement that has been linked to the mechanism of injury. There is negligible chance of muscular soreness of the legs from the running and cutting maneuvers, since you participate in vigorous exercise 2-3 hrs per day, 3-5 days per week. Eccentric strength testing has the potential to produce short term muscle soreness on the lateral aspect of the hip. Delayed onset muscle soreness from the eccentric strength testing is expected to last 3-5 days from the day of testing. This soreness is similar to what you have experienced when beginning a new exercise program and should have a minimal effect on your ability to continue practicing or training for your sport. RESEARCH RELATED INJURY In the event of research related injury, compensation and medical treatment is not provided by Oregon State University.

WHAT ARE THE BENEFITS OF THIS STUDY? There is no direct personal benefit afforded the participants of this study. The contribution that this study makes in helping to understand knee injury mechanisms, particularly in the sports of basketball and soccer may be of personal interest and satisfaction to you. The researchers anticipate that society may benefit from this study by the contributions made to the current body of knowledge regarding how the knee is affected by rapid changes in direction during running tasks. We hope that, in the future, other people might benefit from this study because better understanding how knee injuries occur may help in the development of intervention programs the decrease the likelihood this injury will occur. WILL I BE PAID FOR PARTICIPATING? You will not be paid for being in this research study. WHO WILL SEE THE INFORMATION I GIVE? The information you provide during this research study will be kept confidential to the extent permitted by law. It is possible that a portion of these records could contain information that personally identifies you. During the measurement and collection of data, you will only be identified on the computer system with a subject number. The subjects name is to remain confidential in the analysis of any information regarding this study. One aspect of this study involves making video recordings of you when you are running. However, the video cameras used for data collection acquire digital signals from small reflective markers that are affixed to you; therefore, there is no video output that would identify your face or body. Only researchers directly involved in the data collection and analysis will have access to the raw data associated with this study. All information, including health history questionnaires, informed consent documents, and demographic information will be securely stored and accessible only to the primary investigator and researchers named in this study. If the results of this project are published your identity will not be made public. All laboratory notebooks and laboratory reports will be kept in a secure manner for six years as required by Oregon State University System Administration Rules. (http://www.ous.edu/archives/schdsection/grants.html#Labratory%20Notebooks).

113

DO I HAVE A CHOICE TO BE IN THE STUDY? If you decide to take part in the study, it should be because you really want to volunteer. You will not lose any benefits or rights you would normally have if you choose not to volunteer. You can stop at any time during the study and still keep the benefits and rights you had before volunteering. You will not be treated differently if you decide to stop taking part in the study. If you decide to not answer specific questions related to your health history we may decide to not include you in the study because we want to assure that subjects are healthy enough to participate in this study for their own safety. If you choose to withdraw from this project before it ends, the researchers may keep information collected about you and this information may be included in study reports. WHAT IF I HAVE QUESTIONS? If you have any questions about this research project, please contact: Mark A. Hoffman, 541-737-6787, [email protected], or Grace M. Golden, 541-231-2182, [email protected]. If you have questions about your rights as a participant, please contact the Oregon State University Institutional Review Board (IRB) Human Protections Administrator, at (541) 737-4933 or by email at [email protected]. Your signature indicates that this research study has been explained to you, that your questions have been answered, and that you agree to take part in this study. You will receive a copy of this form. Participant's Name (printed): __________________________________________________________ __________________________________________ _______________________________ (Signature of Participant) (Date)

114 APPENDIX D

COOPERATING INSTITUTION LETTER OF APPROVAL Project Title: Principle Investigator: Research Staff:

Knee and Hip Kinetics and Kinematics as the Result of Combining a Lateral False Step with a Sidestep Cutting Maneuver Mark A. Hoffman Grace M. Golden, Mike Pavol

I have received information related to this research study. As a representative of the cooperating institution, my signature indicates my approval for recruitment and voluntary participation of subjects. Cooperating Institution: Position at Institution: Signature:

Date:

115 APPENDIX E SPSS OUTPUT Manuscript1 General Linear Model: KNEE ANGLE_ABDUCTION Within-Subjects Factors Measure: MEASURE_1 Dependent Variable

cond 1

ka_abd_run

2

ka_abd_lfs

3

ka_abd_ssc

4

ka_abd_ls

Between-Subjects Factors N F_M

f

11

m

10 Descriptive Statistics

ka_abd_run

ka_abd_lfs

ka_abd_ssc

ka_abd_ls

F_M f

Mean

Std. Deviation

N

4.0841

2.42504

11

m

3.1586

2.32426

10

Total

3.6434

2.36553

21

f

6.2275

2.91441

11

m

4.9169

1.91533

10

Total

5.6034

2.51944

21

f

6.6674

2.47965

11

m

5.5731

2.04269

10

Total

6.1463

2.29470

21

f

7.3614

2.74517

11

m

6.7690

2.02977

10

Total

7.0793

2.39037

21

Box's Test of Equality of Covariance Matrices(a) Box's M F

6.699 .514

df1

10

df2

1683.537

Sig.

.881

Tests the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups. a Design: Intercept+F_M Within Subjects Design: cond

116

Multivariate Tests(c)

Effect cond

cond * F_M

Value

Hypothesis df

F

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.834

28.379(b)

3.000

17.000

.000

.834

85.137

1.000

Wilks' Lambda

.166

28.379(b)

3.000

17.000

.000

.834

85.137

1.000

Hotelling's Trace

5.008

28.379(b)

3.000

17.000

.000

.834

85.137

1.000

Roy's Largest Root

5.008

28.379(b)

3.000

17.000

.000

.834

85.137

1.000

Pillai's Trace

.060

.359(b)

3.000

17.000

.783

.060

1.077

.106

Wilks' Lambda

.940

.359(b)

3.000

17.000

.783

.060

1.077

.106

Hotelling's Trace

.063

.359(b)

3.000

17.000

.783

.060

1.077

.106

Roy's Largest Root

.063

.359(b)

3.000

17.000

.783

.060

1.077

.106

a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. ChiSquare

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.566

10.097

5

.073

Huynh-Feldt

Lower-bound

.947

.333

.783

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond Tests of Within-Subjects Effects Measure: MEASURE_1

Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(cond)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

a Computed using alpha = .05

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

132.696

3

44.232

38.160

.000

.668

114.481

1.000

132.696

2.348

56.526

38.160

.000

.668

89.582

1.000

132.696

2.840

46.720

38.160

.000

.668

108.386

1.000

132.696

1.000

132.696

38.160

.000

.668

38.160

1.000

1.444

3

.481

.415

.743

.021

1.245

.128

1.444

2.348

.615

.415

.695

.021

.975

.118

1.444

2.840

.508

.415

.732

.021

1.179

.125

1.444

1.000

1.444

.415

.527

.021

.415

.094

66.069

57

1.159

66.069

44.603

1.481

66.069

53.965

1.224

66.069

19.000

3.477

117

Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source cond

Type III Sum of Squares

cond Linear

cond * F_M

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

124.002

1

124.002

78.163

.000

.804

78.163

1.000

Quadratic

5.300

1

5.300

4.501

.047

.192

4.501

.522

Cubic

3.394

1

3.394

4.758

.042

.200

4.758

.544

Linear

.387

1

.387

.244

.627

.013

.244

.076

Quadratic Error(cond)

Mean Square

df

1.030

1

1.030

.875

.361

.044

.875

.144

Cubic

.026

1

.026

.037

.850

.002

.037

.054

Linear

30.143

19

1.586

Quadratic

22.374

19

1.178

Cubic

13.552

19

.713

a Computed using alpha = .05 Levene's Test of Equality of Error Variances(a) F

df1

df2

Sig.

ka_abd_run

.000

1

19

.995

ka_abd_lfs

1.820

1

19

.193

ka_abd_ssc

.708

1

19

.411

ka_abd_ls

.151

1

19

.702

Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a Design: Intercept+F_M Within Subjects Design: cond Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Type III Sum of Source Squares Intercep 2623.331 t F_M 20.152 Error 370.792

df

Mean Square

F

Observed Power(a)

134.424

.000

.876

134.424

1.000

1

20.152

1.033

.322

.052

1.033

.162

19

19.515

1. F_M Measure: MEASURE_1 Std. Error

Noncent. Parameter

2623.331

Estimated Marginal Means

Mean

Partial Eta Squared

1

a Computed using alpha = .05

F_M

Sig.

95% Confidence Interval Lower Bound

Upper Bound

f

6.085

.666

4.691

7.479

m

5.104

.698

3.642

6.566

118

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

3.621

.519

2.534

4.709

2

5.572

.544

4.433

6.712

3

6.120

.499

5.076

7.164

4

7.065

.531

5.953

8.178

3. F_M * cond Measure: MEASURE_1 F_M

cond

Mean

Std. Error

95% Confidence Interval

f

1

4.084

.717

2.584

5.585

2

6.228

.751

4.655

7.800

3

6.667

.688

5.227

8.108

4

7.361

.733

5.826

8.897

1

3.159

.752

1.585

4.732

2

4.917

.788

3.268

6.566

3

5.573

.722

4.062

7.084

4

6.769

.769

5.159

8.379

Lower Bound

m

General Linear Model: KNEE ANGLE_INTERNAL ROTATION Within-Subjects Factors Measure: MEASURE_1 Dependent Variable

cond 1

ka_ir_run

2

ka_ir_lfs

3

ka_ir_ssc

4

ka_ir_ls Between-Subjects Factors N

F_M

f

11

m

10

Upper Bound

119

Descriptive Statistics

ka_ir_run

F_M f

Mean 8.3108

5.23932

11

m

6.5731

6.22758

10

Total ka_ir_lfs

ka_ir_ssc

ka_ir_ls

Std. Deviation

N

7.4833

5.65405

21

f

10.3839

5.96144

11

m

6.3267

6.78390

10

Total

8.4519

6.54143

21

f

10.1961

8.04711

11

m

7.3751

5.88999

10

Total

8.8527

7.07628

21

f

10.8926

7.82012

11

m

7.9805

5.65749

10

Total

9.5059

6.87032

21

Box's Test of Equality of Covariance Matrices(a) Box's M F df1 df2 Sig.

8.700 .667 10 1683.53 7 .756

Tests the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups. a Design: Intercept+F_M Within Subjects Design: cond Multivariate Tests(c)

Effect cond

cond * F_M

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.105

.667(b)

3.000

17.000

.584

.105

2.001

.161

Wilks' Lambda

.895

.667(b)

3.000

17.000

.584

.105

2.001

.161

.118

.667(b)

3.000

17.000

.584

.105

2.001

.161

.118

.667(b)

3.000

17.000

.584

.105

2.001

.161

.130

.847(b)

3.000

17.000

.487

.130

2.542

.195

.870

.847(b)

3.000

17.000

.487

.130

2.542

.195

.150

.847(b)

3.000

17.000

.487

.130

2.542

.195

.150

.847(b)

3.000

17.000

.487

.130

2.542

.195

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Hotelling's Trace Roy's Largest Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

120

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.487

12.751

5

.026

Lowerbound

Huynh-Feldt

.676

.798

.333

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond Tests of Within-Subjects Effects Measure: MEASURE_1 Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(cond)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

43.980

3

14.660

1.391

.255

.068

4.172

.350

43.980

2.029

21.675

1.391

.261

.068

2.822

.282

43.980

2.393

18.379

1.391

.260

.068

3.328

.309

43.980

1.000

43.980

1.391

.253

.068

1.391

.202

14.118

3

4.706

.446

.721

.023

1.339

.134

14.118

2.029

6.958

.446

.646

.023

.906

.118

14.118

2.393

5.900

.446

.678

.023

1.068

.124

14.118

1.000

14.118

.446

.512

.023

.446

.097

600.888

57

10.542

600.888

38.552

15.586

600.888

45.466

13.216

600.888

19.000

31.626

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source cond

cond * F_M

Error(cond)

cond Linear

Type III Sum of Squares

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

43.100

1

43.100

2.088

.165

.099

2.088

.279

Quadratic

.360

1

.360

.087

.771

.005

.087

.059

Cubic

.519

1

.519

.076

.786

.004

.076

.058

Linear

1.370

1

1.370

.066

.800

.003

.066

.057

Quadratic

6.504

1

6.504

1.572

.225

.076

1.572

.222

.913

.351

.046

.913

.148

Cubic

6.245

1

6.245

Linear

392.274

19

20.646

78.596

19

4.137

130.019

19

6.843

Quadratic Cubic a Computed using alpha = .05

121

Levene's Test of Equality of Error Variances(a) F

df1

df2

Sig.

ka_ir_run

.806

1

19

.381

ka_ir_lfs

.394

1

19

.538

ka_ir_ssc

.514

1

19

.482

ka_ir_ls

.641

1

19

.433

Tests the null hypothesis that the error variance of the dependent variable is equal across groups. a Design: Intercept+F_M Within Subjects Design: cond Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept F_M Error

Type III Sum of Squares 6062.149

df

Mean Square

F

.000

.696

43.438

1.000

174.032

1

174.032

1.247

.278

.062

1.247

.186

2651.636

19

139.560

Measure: MEASURE_1 Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

9.946

1.781

6.218

13.673

m

7.064

1.868

3.154

10.973

2. cond Measure: MEASURE_1 Mean

Observed Power(a)

43.438

1. F_M

cond

Noncent. Parameter

6062.149

Estimated Marginal Means

Mean

Partial Eta Squared

1

a Computed using alpha = .05

F_M

Sig.

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

7.442

1.252

4.822

10.061

2

8.355

1.390

5.445

11.265

3

8.786

1.553

5.536

12.035

4

9.437

1.503

6.290

12.583

122

3. F_M * cond Measure: MEASURE_1 F_M

cond

Mean

Std. Error

95% Confidence Interval

f

1

8.311

1.727

4.696

11.926

2

10.384

1.919

6.368

14.400

3

10.196

2.143

5.711

14.681

4

10.893

2.075

6.550

15.235

1

6.573

1.812

2.781

10.365

2

6.327

2.013

2.114

10.539

3

7.375

2.248

2.671

12.079

4

7.981

2.176

3.426

12.535

Lower Bound

m

Upper Bound

General Linear Model: HIP ADDUCTION Within-Subjects Factors Measure: MEASURE_1 Dependent Variable

cond 1

ha_add_run

2

ha_add_lfs

3

ha_add_ssc

4

ha_add_ls

Between-Subjects Factors N F_M

f

11

m

10 Descriptive Statistics

ha_add_ru n

ha_add_lfs

ha_add_ss c

ha_add_ls

Std. Deviation

F_M f

Mean

N

-9.8819

2.43366

11

m

-4.6274

2.26264

10

Total

-7.3797

3.53502

21

f

5.7689

3.13171

11

m

9.9470

3.79022

10

Total

7.7585

3.99253

21

f

4.3366

3.75707

11

m

6.9922

4.36190

10

Total

5.6012

4.17931

21

f

14.7673

3.10011

11

m

18.4812

4.16903

10

Total

16.5358

4.02979

21

123

Multivariate Tests(c) Effect cond

Value Pillai's Trace

cond * F_M

Wilks' Lambda Hotelling's Trace Roy's Largest Root Pillai's Trace

F

Hypothesi s df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

.981

291.601(b)

3.000

17.000

.000

.981

874.804

1.000

.019

291.601(b)

3.000

17.000

.000

.981

874.804

1.000

51.459

291.601(b)

3.000

17.000

.000

.981

874.804

1.000

51.459

291.601(b)

3.000

17.000

.000

.981

874.804

1.000

.130 Wilks' .870 Lambda Hotelling's .149 Trace Roy's Largest .149 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

.847(b)

3.000

17.000

.487

.130

2.540

.195

.847(b)

3.000

17.000

.487

.130

2.540

.195

.847(b)

3.000

17.000

.487

.130

2.540

.195

.847(b)

3.000

17.000

.487

.130

2.540

.195

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. ChiSquare

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.854

2.794

5

.732

Huynh-Feldt

.919

Lower-bound

1.000

.333

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond Tests of Within-Subjects Effects Measure: MEASURE_1 Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(cond)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

a Computed using alpha = .05

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

6114.270

3

2038.090

363.845

.000

.950

1091.535

1.000

6114.270

2.757

2217.617

363.845

.000

.950

1003.170

1.000

6114.270

3.000

2038.090

363.845

.000

.950

1091.535

1.000

6114.270

1.000

6114.270

363.845

.000

.950

363.845

1.000

18.254

3

6.085

1.086

.362

.054

3.259

.278

18.254

2.757

6.621

1.086

.360

.054

2.995

.266

18.254

3.000

6.085

1.086

.362

.054

3.259

.278

18.254

1.000

18.254

1.086

.310

.054

1.086

.168

319.287

57

5.602

319.287

52.386

6.095

319.287

57.000

5.602

319.287

19.000

16.805

124

Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source cond

Type III Sum of Squares

cond Linear

Error(cond)

F

Partial Eta Squared

Sig.

Noncent. Parameter

Observed Power(a)

5051.978

1

5051.978

872.144

.000

.979

872.144

1.000

90.330

1

90.330

14.802

.001

.438

14.802

.954

Cubic

971.962

1

971.962

197.984

.000

.912

197.984

1.000

Linear

9.887

1

9.887

1.707

.207

.082

1.707

.237

Quadratic

5.967

1

5.967

.978

.335

.049

.978

.156

.489

.493

.025

.489

.102

Quadratic cond * F_M

Mean Square

df

Cubic

2.399

1

2.399

Linear

110.059

19

5.793

Quadratic

115.951

19

6.103

93.277

19

4.909

Cubic a Computed using alpha = .05

Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept

Type III Sum of Squares

df

Mean Square

F

Partial Eta Squared

Sig.

Noncent. Parameter

Observed Power(a)

2744.984

1

2744.984

90.185

.000

.826

90.185

1.000

F_M

327.002

1

327.002

10.743

.004

.361

10.743

.875

Error

578.308

19

30.437

a Computed using alpha = .05 Estimated Marginal Means 1. F_M Measure: MEASURE_1 F_M

Std. Error

Mean

95% Confidence Interval Lower Bound

Upper Bound

f

3.748

.832

2.007

5.489

m

7.698

.872

5.872

9.524

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval

1

-7.255

.514

-8.331

-6.178

2

7.858

.756

6.276

9.440

3

5.664

.886

3.810

7.518

4

16.624

.796

14.957

18.291

Lower Bound

Upper Bound

125

General Linear Model: Hip angle_INTERNAL ROTATION Within-Subjects Factors Measure: MEASURE_1 cond 1

Dependent Variable ha_ir_run

2

ha_ir_lfs

3

ha_ir_ssc

4

ha_ir_ls Between-Subjects Factors N

F_M

f

11

m

10 Descriptive Statistics

ha_ir_run

ha_ir_lfs

ha_ir_ssc

F_M f

Mean

N

5.98620

11

m

-6.0324

3.64998

10

Total

-4.0609

5.25573

21

f

-2.2540

8.96454

11

m

-3.9897

5.43869

10

Total

-3.0805

7.36758

21

f

.9805

7.05010

11

m

-.1519

7.14956

10

.4413

6.94191

21

f

1.4409

9.10934

11

m

.6248

8.43743

10

1.0523

8.58487

21

Total ha_ir_ls

Std. Deviation

-2.2685

Total

Multivariate Tests(c)

Effect cond

cond * F_M

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.434

4.350(b)

3.000

17.000

.019

.434

13.051

.777

Wilks' Lambda

.566

4.350(b)

3.000

17.000

.019

.434

13.051

.777

.768

4.350(b)

3.000

17.000

.019

.434

13.051

.777

.768

4.350(b)

3.000

17.000

.019

.434

13.051

.777

.063

.381(b)

3.000

17.000

.768

.063

1.142

.110

.937

.381(b)

3.000

17.000

.768

.063

1.142

.110

.067

.381(b)

3.000

17.000

.768

.063

1.142

.110

.067

.381(b)

3.000

17.000

.768

.063

1.142

.110

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Hotelling's Trace Roy's Largest Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

126

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.569

9.983

5

.076

Huynh-Feldt

Lower-bound

.914

.333

.760

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond Tests of Within-Subjects Effects Measure: MEASURE_1 Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Lower-bound

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

3

137.782

7.651

.000

.287

22.952

.983

413.346

2.279

181.390

7.651

.001

.287

17.434

.952

413.346

2.742

150.731

7.651

.000

.287

20.980

.975

413.346

1.000

413.346

7.651

.012

.287

7.651

.747

27.549

3

9.183

.510

.677

.026

1.530

.148

27.549

2.279

12.089

.510

.628

.026

1.162

.133

27.549

2.742

10.046

.510

.661

.026

1.398

.143

27.549

1.000

27.549

.510

.484

.026

.510

.104

1026.522

57

18.009

1026.522

43.297

23.709

1026.522

52.103

19.702

1026.522

19.000

54.027

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Sphericity Assumed GreenhouseGeisser Huynh-Feldt

F

413.346

Lower-bound Error(cond)

Mean Square

df

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1

Source cond

cond Linear Quadratic

cond * F_M

df

Mean Square

381.633

1

381.633

Partial Eta Squared

F

Sig.

12.273

.002

.392

Noncent. Parameter

Observed Power(a)

12.273

.913

.881

1

.881

.134

.718

.007

.134

.064

Cubic

30.832

1

30.832

1.885

.186

.090

1.885

.257

Linear

23.372

1

23.372

.752

.397

.038

.752

.131

Quadratic Error(cond)

Type III Sum of Squares

3.837

1

3.837

.583

.454

.030

.583

.112

Cubic

.339

1

.339

.021

.887

.001

.021

.052

Linear

590.827

19

31.096

Quadratic

125.000

19

6.579

Cubic

310.695

19

16.352

a Computed using alpha = .05

127

Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Type III Sum of Source Squares df Intercept 177.739 F_M

72.647

Error

2949.165

Mean Square 1

F

Sig. .298

.057

1.145

.174

1

72.647

.468

.502

.024

.468

.100

19

155.219

1. F_M Measure: MEASURE_1 Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

-.525

1.878

-4.456

3.406

m

-2.387

1.970

-6.510

1.736

2. cond Measure: MEASURE_1 Std. Error

cond

Mean

1

-4.150

1.096

95% Confidence Interval -6.445

2

-3.122

1.639

-6.553

.309

3

.414

1.551

-2.831

3.660

4

1.033

1.922

-2.990

5.056

Lower Bound

Upper Bound

General Linear Model: KNEE MOMENT_EXTENSION Within-Subjects Factors Measure: MEASURE_1 Dependent Variable

cond 1

km_ext_run

2

km_ext_lfs

3

km_ext_ssc

4

km_ext_ls Between-Subjects Factors N

F_M

f

11

m

10

Observed Power(a)

1.145

Estimated Marginal Means

Mean

Noncent. Parameter

177.739

a Computed using alpha = .05

F_M

Partial Eta Squared

-1.856

128

Descriptive Statistics

km_ext_ru n

km_ext_lf s

km_ext_ss c

km_ext_ls

F_M f

Mean -5.1596

2.65708

11

m

-5.6472

2.14418

10

Total

-5.3918

2.37933

21

f

Std. Deviation

N

-4.4617

2.34531

11

m

-4.9606

2.90714

10

Total

-4.6993

2.57266

21

-5.2341

4.18817

11

m

-6.0469

4.40706

10

Total

-5.6211

4.20516

21

f

-4.8184

3.17989

11

m

-5.2241

3.02500

10

Total

-5.0116

3.03591

21

f

Multivariate Tests(c)

Effect cond

cond * F_M

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.178

1.229(b)

3.000

17.000

.330

.178

3.688

.271

Wilks' Lambda

.822

1.229(b)

3.000

17.000

.330

.178

3.688

.271

.217

1.229(b)

3.000

17.000

.330

.178

3.688

.271

.217

1.229(b)

3.000

17.000

.330

.178

3.688

.271

.006

.037(b)

3.000

17.000

.990

.006

.110

.055

.994

.037(b)

3.000

17.000

.990

.006

.110

.055

.037(b)

3.000

17.000

.990

.006

.110

.055

.037(b)

3.000

17.000

.990

.006

.110

.055

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Hotelling's .006 Trace Roy's Largest .006 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.624

8.362

5

.138

.770

Huynh-Feldt

Lowerbound

.928

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond

.333

129

Tests of Within-Subjects Effects Measure: MEASURE_1 Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Lower-bound

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

3

3.535

.845

.475

.043

2.534

.222

10.605

2.309

4.593

.845

.451

.043

1.950

.196

10.605

2.785

3.808

.845

.468

.043

2.353

.214

10.605

1.000

10.605

.845

.370

.043

.845

.141

.505

3

.168

.040

.989

.002

.121

.057

.505

2.309

.219

.040

.974

.002

.093

.056

.505

2.785

.181

.040

.986

.002

.112

.056

.505

1.000

.505

.040

.843

.002

.040

.054

238.508

57

4.184

238.508

43.866

5.437

238.508

52.912

4.508

238.508

19.000

12.553

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Sphericity Assumed GreenhouseGeisser Huynh-Feldt

F

10.605

Lower-bound Error(cond)

Mean Square

df

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source cond

Type III Sum of Squares

cond Linear Quadratic

cond * F_M

Error(cond)

Mean Square

df

.049

1

F

.049

Sig.

Partial Eta Squared

.012

.912

.001

Noncent. Parameter

Observed Power(a)

.012

.051

.028

1

.028

.006

.938

.000

.006

.051

Cubic

10.528

1

10.528

2.570

.125

.119

2.570

.331

Linear

.001

1

.001

.000

.986

.000

.000

.050

Quadratic

.229

1

.229

.051

.824

.003

.051

.055

Cubic

.275

1

.275

.067

.799

.004

.067

.057

Linear

75.073

19

3.951

Quadratic

85.592

19

4.505

Cubic

77.844

19

4.097

a Computed using alpha = .05 Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

2261.053

1

2261.053

79.819

.000

.808

79.819

1.000

F_M

6.367

1

6.367

.225

.641

.012

.225

.074

Error

538.218

19

28.327

a Computed using alpha = .05

130

Estimated Marginal Means 1. F_M Measure: MEASURE_1 F_M

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

-4.918

.802

-6.598

-3.239

m

-5.470

.842

-7.231

-3.708

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval

1

-5.403

.530

-6.513

-4.293

2

-4.711

.574

-5.912

-3.510

3

-5.640

.938

-7.604

-3.677

4

-5.021

.679

-6.442

-3.600

Lower Bound

General Linear Model: KNEE MOMENT_ADDUCTION Within-Subjects Factors Measure: MEASURE_1 cond 1

km_add_run

2

km_add_lfs

3 4

Dependent Variable

km_add_ssc km_add_ls Between-Subjects Factors N

F_M

f

11

m

10

Upper Bound

131

Descriptive Statistics

km_add_run

F_M f

Mean

m Total km_add_lfs

km_add_ssc

km_add_ls

Std. Deviation

N

.2258

.39933

11

.0347

.65214

10

.1348

.52979

21

f

-1.2054

1.01732

11

m

-1.1058

.57446

10

Total

-1.1579

.81766

21

f

-1.8070

1.13073

11

m

-2.2647

.88969

10

Total

-2.0249

1.02486

21

f

-3.6187

1.89998

11

m

-4.2478

1.51565

10

Total

-3.9182

1.71533

21 Multivariate Tests(c)

Effect cond

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.895

48.554(b)

3.000

17.000

.000

.895

145.662

1.000

Wilks' Lambda

.105

48.554(b)

3.000

17.000

.000

.895

145.662

1.000

8.568

48.554(b)

3.000

17.000

.000

.895

145.662

1.000

8.568

48.554(b)

3.000

17.000

.000

.895

145.662

1.000

.109

.693(b)

3.000

17.000

.569

.109

2.080

.166

.891 Hotelling's .122 Trace Roy's Largest .122 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

.693(b)

3.000

17.000

.569

.109

2.080

.166

.693(b)

3.000

17.000

.569

.109

2.080

.166

.693(b)

3.000

17.000

.569

.109

2.080

.166

cond * F_M

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. ChiSquare

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.567

10.045

5

.074

.734

Huynh-Feldt

Lowerbound

.878

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond

.333

132

Tests of Within-Subjects Effects Measure: MEASURE_1 Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

183.059

3

61.020

76.426

.000

.801

229.278

1.000

183.059

2.202

83.142

76.426

.000

.801

168.271

1.000

183.059

2.633

69.514

76.426

.000

.801

201.262

1.000

183.059

1.000

183.059

76.426

.000

.801

76.426

1.000

1.595

3

.532

.666

.576

.034

1.998

.182

1.595

2.202

.725

.666

.533

.034

1.466

.159

1.595

2.633

.606

.666

.558

.034

1.754

.172

1.595

1.000

1.595

.666

.425

.034

.666

.121

45.510

57

.798

45.510

41.833

1.088

45.510

50.035

.910

45.510

19.000

2.395

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(cond)

Mean Square

df

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1

Source cond

cond * F_M

Error(cond)

cond Linear

Type III Sum of Squares

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

178.979

1

178.979

145.637

.000

.885

145.637

1.000

Quadratic

1.959

1

1.959

2.614

.122

.121

2.614

.336

Cubic

2.120

1

2.120

5.086

.036

.211

5.086

.572

Linear

.917

1

.917

.746

.398

.038

.746

.130

Quadratic

.280

1

.280

.373

.548

.019

.373

.089

.956

.340

.048

.956

.153

Cubic

.399

1

.399

Linear

23.350

19

1.229

Quadratic

14.238

19

.749

7.921

19

.417

Cubic a Computed using alpha = .05

Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

256.254

1

256.254

97.541

.000

.837

97.541

1.000

F_M

1.818

1

1.818

.692

.416

.035

.692

.124

Error

49.915

19

2.627

a Computed using alpha = .05

133

Estimated Marginal Means 1. F_M Measure: MEASURE_1 F_M

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

-1.601

.244

-2.113

-1.090

m

-1.896

.256

-2.432

-1.359

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

.130

.117

-.114

.375

2

-1.156

.183

-1.538

-.773

3

-2.036

.224

-2.504

-1.568

4

-3.933

.378

-4.724

-3.143

General Linear Model: KNEE MOMENT EXTERNAL ROTATION

Within-Subjects Factors Measure: MEASURE_1 cond 1

km_er_run

Dependent Variable

2

km_er_lfs

3

km_er_ssc

4

km_er_ls

Between-Subjects Factors N F_M

f

11

m

10

134

Descriptive Statistics

km_er_run

km_er_lfs

km_er_ssc

km_er_ls

F_M f

Mean

Std. Deviation

N

-.1321

.14737

11

m

-.1393

.13259

10

Total

-.1355

.13705

21

f

-.2264

.15838

11

m

-.1970

.14843

10

Total

-.2124

.15061

21

f

-.1570

.16896

11

m

-.0514

.15898

10

Total

-.1068

.16902

21

f

-.2460

.30551

11

m

-.0894

.28665

10

Total

-.1714

.30011

21

Multivariate Tests(c)

Effect cond

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.382

3.508(b)

3.000

17.000

.038

.382

10.525

.676

Wilks' Lambda

.618

3.508(b)

3.000

17.000

.038

.382

10.525

.676

.619

3.508(b)

3.000

17.000

.038

.382

10.525

.676

.619

3.508(b)

3.000

17.000

.038

.382

10.525

.676

.077

.474(b)

3.000

17.000

.705

.077

1.421

.126

.923 Hotelling's .084 Trace Roy's Largest .084 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

.474(b)

3.000

17.000

.705

.077

1.421

.126

.474(b)

3.000

17.000

.705

.077

1.421

.126

.474(b)

3.000

17.000

.705

.077

1.421

.126

cond * F_M

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.387

16.824

5

.005

.662

Huynh-Feldt

Lower-bound

.778

.333

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond

135

Tests of Within-Subjects Effects Measure: MEASURE_1

Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(cond)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

.132

3

.044

1.435

.242

.070

4.305

.360

.132

1.987

.067

1.435

.251

.070

2.851

.287

.132

2.335

.057

1.435

.248

.070

3.351

.313

.132

1.000

.132

1.435

.246

.070

1.435

.207

.086

3

.029

.929

.433

.047

2.786

.242

.086

1.987

.043

.929

.403

.047

1.845

.198

.086

2.335

.037

.929

.415

.047

2.168

.213

.086

1.000

.086

.929

.347

.047

.929

.150

1.754

57

.031

1.754

37.752

.046

1.754

44.365

.040

1.754

19.000

.092

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1

Source cond

cond * F_M

Error(cond)

cond Linear

Type III Sum of Squares

Mean Square

df

.000

1

.000

Quadratic

.001

1

Cubic

.132

1

Linear

.084

Quadratic

.000

Cubic Linear

Sig.

.002

.962

.000

.001

.048

.829

.132

7.717

.012

1

.084

1.450

1

.000

.016

.001

1

.001

.064

1.105

19

.058

Quadratic

.325

19

.017

Cubic

.324

19

.017

a Computed using alpha = .05

F

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

.002

.050

.003

.048

.055

.289

7.717

.750

.243

.071

1.450

.208

.902

.001

.016

.052

.802

.003

.064

.057

136

Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept F_M Error

Type III Sum of Squares

df

2.009

Mean Square

F

Sig.

30.381

.000

.615

30.381

.999

.106

1

.106

1.601

.221

.078

1.601

.225

1.257

19

.066

1. F_M Measure: MEASURE_1 Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

-.190

.039

-.272

-.109

m

-.119

.041

-.204

-.034

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

-.136

.031

-.200

-.071

2

-.212

.034

-.282

-.141

3

-.104

.036

-.179

-.029

4

-.168

.065

-.303

-.032

General Linear Model: HIP MOMENT_ABDUCTION Within-Subjects Factors Measure: MEASURE_1 cond 1

hm_abd_run

2

Dependent Variable hm_abd_lfs

3

hm_abd_ssc

4

hm_abd_ls

Between-Subjects Factors N F_M

Observed Power(a)

2.009

Estimated Marginal Means

Mean

Noncent. Parameter

1

a Computed using alpha = .05

F_M

Partial Eta Squared

f

11

m

10

137

Descriptive Statistics

hm_abd_run

hm_abd_lfs

hm_abd_ssc

hm_abd_ls

F_M f

Mean 5.4040

Std. Deviation 2.17129

N 11

m

5.5864

2.42074

10

Total

5.4909

2.23673

21

f

5.8635

3.47663

11

m

5.7468

3.81854

10

Total

5.8079

3.55086

21

f

4.6539

3.25831

11

m

3.9367

4.29251

10

Total

4.3124

3.70602

21

f

3.4977

3.18006

11

m

1.9870

3.81931

10

Total

2.7783

3.49548

21 Multivariate Tests(c)

Effect cond

cond * F_M

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.686

12.397(b)

3.000

17.000

.000

.686

37.191

.998

Wilks' Lambda

.314

12.397(b)

3.000

17.000

.000

.686

37.191

.998

2.188

12.397(b)

3.000

17.000

.000

.686

37.191

.998

2.188

12.397(b)

3.000

17.000

.000

.686

37.191

.998

.117

.748(b)

3.000

17.000

.538

.117

2.245

.176

.883

.748(b)

3.000

17.000

.538

.117

2.245

.176

.132

.748(b)

3.000

17.000

.538

.117

2.245

.176

.132

.748(b)

3.000

17.000

.538

.117

2.245

.176

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Hotelling's Trace Roy's Largest Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. Chi-Square

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.683

6.752

5

.240

.796

Huynh-Feldt

Lower-bound

.966

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond

.333

138

Tests of Within-Subjects Effects Measure: MEASURE_1

Source cond

cond * F_M

Type III Sum of Squares

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Sphericity Assumed

121.452

3

40.484

9.549

.000

.334

28.646

.996

Greenhouse-Geisser

121.452

2.387

50.882

9.549

.000

.334

22.792

.986

Huynh-Feldt

121.452

2.897

41.926

9.549

.000

.334

27.661

.995

Lower-bound

121.452

1.000

121.452

9.549

.006

.334

9.549

.834

Sphericity Assumed

8.772

3

2.924

.690

.562

.035

2.069

.187

Greenhouse-Geisser

8.772

2.387

3.675

.690

.531

.035

1.646

.169

Huynh-Feldt

8.772

2.897

3.028

.690

.557

.035

1.998

.184

.690

.417

.035

.690

.124

Lower-bound Error(cond)

Mean Square

8.772

1.000

8.772

Sphericity Assumed

241.664

57

4.240

Greenhouse-Geisser

241.664

45.352

5.329

Huynh-Feldt

241.664

55.040

4.391

Lower-bound

241.664

19.000

12.719

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1

Source cond

cond Linear

Type III Sum of Squares

Quadratic cond * F_M

Error(cond)

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

99.968

1

99.968

20.194

.000

.515

20.194

.989

18.178

1

18.178

3.424

.080

.153

3.424

.420

Cubic

3.307

1

3.307

1.344

.261

.066

1.344

.196

Linear

8.449

1

8.449

1.707

.207

.082

1.707

.237

Quadratic

.320

1

.320

.060

.809

.003

.060

.056

Cubic

.003

1

.003

.001

.972

.000

.001

.050

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Linear Quadratic Cubic

94.059

19

4.950

100.864

19

5.309

46.742

19

2.460

a Computed using alpha = .05 Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average

Source Intercept

Type III Sum of Squares

df

Mean Square

F

Sig.

1761.477

1

1761.477

54.443

.000

.741

54.443

1.000

F_M

6.123

1

6.123

.189

.668

.010

.189

.070

Error

614.731

19

32.354

a Computed using alpha = .05

139

Estimated Marginal Means 1. F_M Measure: MEASURE_1 F_M

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

4.855

.858

3.060

6.650

m

4.314

.899

2.432

6.197

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

5.495

.501

4.447

6.544

2

5.805

.796

4.140

7.471

3

4.295

.827

2.565

6.025

4

2.742

.764

1.143

4.342

General Linear Model: HIP MOMENT_EXTERNAL ROTATION Within-Subjects Factors Measure: MEASURE_1 cond 1

hm_er_run

Dependent Variable

2

hm_er_lfs

3

hm_er_ssc

4

hm_er_ls Between-Subjects Factors N

F_M

f

11

m

10

140

Descriptive Statistics

hm_er_run

hm_er_lfs

hm_er_ssc

hm_er_ls

F_M f

Mean

Std. Deviation

N

.2515

.30292

11

m

.0647

.25407

10

Total

.1626

.28994

21

f

.1018

.50395

11

m

-.2069

.50471

10

Total

-.0452

.51630

21

f

-.3395

.49423

11

m

-.7884

.47708

10

Total

-.5533

.52662

21

f

-.9055

.71093

11

m

-1.7203

.86067

10

Total

-1.2935

.87174

21

Multivariate Tests(c)

Effect cond

cond * F_M

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.836

28.809(b)

3.000

17.000

.000

.836

86.426

1.000

Wilks' Lambda

.164

28.809(b)

3.000

17.000

.000

.836

86.426

1.000

5.084

28.809(b)

3.000

17.000

.000

.836

86.426

1.000

5.084

28.809(b)

3.000

17.000

.000

.836

86.426

1.000

.172

1.179(b)

3.000

17.000

.347

.172

3.537

.260

.828

1.179(b)

3.000

17.000

.347

.172

3.537

.260

.208

1.179(b)

3.000

17.000

.347

.172

3.537

.260

.208

1.179(b)

3.000

17.000

.347

.172

3.537

.260

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Hotelling's Trace Roy's Largest Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+F_M Within Subjects Design: cond

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. ChiSquare

df

Sig.

Epsilon(a) GreenhouseGeisser

cond

.633

8.101

5

.151

.773

Huynh-Feldt

Lowerbound

.934

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+F_M Within Subjects Design: cond

.333

141

Tests of Within-Subjects Effects Measure: MEASURE_1 Source cond

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

cond * F_M

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(cond)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

26.926

3

8.975

52.561

.000

.734

157.682

1.000

26.926

2.320

11.606

52.561

.000

.734

121.943

1.000

26.926

2.801

9.613

52.561

.000

.734

147.223

1.000

26.926

1.000

26.926

52.561

.000

.734

52.561

1.000

1.163

3

.388

2.269

.090

.107

6.808

.544

1.163

2.320

.501

2.269

.108

.107

5.265

.471

1.163

2.801

.415

2.269

.095

.107

6.357

.524

1.163

1.000

1.163

2.269

.148

.107

2.269

.299

9.733

57

.171

9.733

44.081

.221

9.733

53.219

.183

9.733

19.000

.512

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source cond

Type III Sum of Squares

cond Linear

Error(cond)

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

25.404

1

25.404

89.869

.000

.825

89.869

1.000

Quadratic cond * F_M

df

1.517

1

1.517

11.081

.004

.368

11.081

.884

Cubic

.004

1

.004

.045

.833

.002

.045

.055

Linear

1.073

1

1.073

3.797

.066

.167

3.797

.456

Quadratic

.078

1

.078

.570

.460

.029

.570

.111

Cubic

.011

1

.011

.121

.731

.006

.121

.063

Linear

5.371

19

.283

Quadratic

2.602

19

.137

Cubic

1.760

19

.093

a Computed using alpha = .05 Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average

Source Intercept

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

16.434

1

16.434

24.376

.000

.562

24.376

.997

F_M

4.052

1

4.052

6.011

.024

.240

6.011

.643

Error

12.809

19

.674

a Computed using alpha = .05

142

Estimated Marginal Means 1. F_M Measure: MEASURE_1 F_M

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

f

-.223

.124

-.482

.036

m

-.663

.130

-.934

-.391

2. cond Measure: MEASURE_1 cond

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

.158

.061

.030

.287

2

-.053

.110

-.283

.178

3

-.564

.106

-.786

-.342

4

-1.313

.172

-1.672

-.954

143

SPSS Output_Manuscript2 Regression: KA_ABD RUN, SQA Descriptive Statistics Mean KneeABD_run

Std. Deviation

N

3.6434

2.36553

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations KneeABD_run Pearson Correlation

Sig. (1-tailed)

KneeABD_run

SQA

SexSQA

.200

.451

.369

Sex2

.200

1.000

-.138

.857

SQA

.451

-.138

1.000

.252

SexSQA

.369

.857

.252

1.000

KneeABD_run

N

Sex2

1.000

.

.192

.020

.050

Sex2

.192

.

.276

.000

SQA

.020

.276

.

.135

SexSQA

.050

.000

.135

.

KneeABD_run

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: KneeABD_run Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.525(a)

.276

.148

a Predictors: (Constant), SexSQA, SQA, Sex2

2.18362

.276

F Change 2.157

df1 3

df2

Sig. F Change

17

.131

144

ANOVA(b)

Model 1

Sum of Squares

df

Mean Square

Regression

30.856

3

10.285

Residual

81.059

17

4.768

111.915

20

Total

F

Sig. 2.157

.131(a)

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: KneeABD_run Coefficients(a) Unstandardized Coefficients

Model

B 1

Standardized Coefficients

Std. Error

t

Sig.

Beta

(Constant)

.472

1.989

Sex2

.664

2.627

SQA

.282

SexSQA

.063

Lower Bound .815

-3.724

4.669

.144

.253

.804

-4.880

6.207

.196

.436

1.440

.168

-.131

.695

.270

.136

.234

.818

-.506

.632

Coefficient Correlations(a) SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000 -.659

SexSQA

-.930

.073

-.038

SQA

-.038

.038

.365

Sex2

-.659

.365

6.903

a Dependent Variable: KneeABD_run Regression: KA_ABD LFS, SQA Descriptive Statistics Mean KneeABD_lfs

Upper Bound

.238

a Dependent Variable: KneeABD_run

Model 1

95% Confidence Interval for B

Std. Deviation

N

4.7661

3.02401

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

145

Correlations KneeABD_lfs Pearson Correlation

Sig. (1-tailed)

KneeABD_lfs

SQA

SexSQA

.519

.287

.589

Sex2

.519

1.000

-.138

.857

SQA

.287

-.138

1.000

.252

SexSQA

.589

.857

.252

1.000

KneeABD_lfs

N

Sex2

1.000

.

.008

.103

.002

Sex2

.008

.

.276

.000

SQA

.103

.276

.

.135

SexSQA

.002

.000

.135

.

KneeABD_lfs

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: KneeABD_lfs Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.634(a)

.401

.296

2.53753

.401

F Change 3.801

df1 3

df2

Sig. F Change

17

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

73.428

3

24.476

Residual

109.464

17

6.439

Total

182.892

20

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: KneeABD_lfs

F 3.801

Sig. .030(a)

.030

146

Coefficients(a)

Model

Unstandardized Coefficients B

1

Standardized Coefficients

Std. Error

(Constant)

t

Sig.

95% Confidence Interval for B

Beta

Lower Bound

Upper Bound

.472

2.311

.204

.840

-4.404

5.349

Sex2

3.018

3.053

.511

.989

.337

-3.424

9.460

SQA

.282

.227

.341

1.239

.232

-.198

.762

SexSQA

.038

.313

.065

.123

.904

-.623

.700

a Dependent Variable: KneeABD_lfs Coefficient Correlations(a) Model 1

SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

-.930

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000

.098

-.052

-.890

SQA

-.052

.052

.493

Sex2

-.890

.493

9.323

SexSQA

a Dependent Variable: KneeABD_lfs Regression: KA_ABD SSC, SQA Descriptive Statistics Mean KneeABD_ssc

Std. Deviation

N

6.1463

2.29470

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations

KneeABD_ssc Pearson Correlation

Sig. (1-tailed)

N

KneeABD_ssc

Sex2

SQA

SexSQA

1.000

.244

.465

.383

Sex2

.244

1.000

-.138

.857

SQA

.465

-.138

1.000

.252

SexSQA

.383

.857

.252

1.000

.

.143

.017

.043

KneeABD_ssc Sex2

.143

.

.276

.000

SQA

.017

.276

.

.135

SexSQA

.043

.000

.135

.

KneeABD_ssc

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

147

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: KneeABD_ssc Model Summary

Model

R

Adjusted R Square

R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.561(a)

.314

.193

2.06107

F Change

.314

2.597

df1

Sig. F Change

df2 3

17

.086

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

Mean Square 3

11.032

72.216

17

4.248

105.313

20

Residual Total

df

33.097

F

Sig. 2.597

.086(a)

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: KneeABD_ssc Coefficients(a)

Model

Unstandardized Coefficients B

1

Std. Error

(Constant)

2.277

1.877

Sex2

1.883

2.480

SQA

.346

.185

-.052

.255

SexSQA

Standardized Coefficients

t

Sig.

Beta

Lower Bound .242

-1.684

6.238

.420

.759

.458

-3.350

7.115

.552

1.872

.078

-.044

.736

-.116

-.206

.840

-.589

.485

Coefficient Correlations(a) SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

-.930

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000

.065

-.034

-.587

SQA

-.034

.034

.325

Sex2

-.587

.325

6.150

SexSQA

a Dependent Variable: KneeABD_ssc

Upper Bound

1.213

a Dependent Variable: KneeABD_ssc

Model 1

95% Confidence Interval for B

148

Independent t-tests (Manuscript 2) T-Test Group Statistics

MF 1.00

Goniometer

N

2.00

Std. Deviation

Mean

Std. Error Mean

11

9.969

3.8313

1.1552

9

7.592

3.3119

1.1040 Independent Samples Test

Levene's Test for Equality of Variances F

t-test for Equality of Means

Sig.

t

Sig. (2tailed)

df

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference Lower

Goniometer

Equal variances assumed Equal variances not assumed

.223

.643

Upper

1.465

18

.160

2.3769

1.6224

-1.0317

5.7854

1.488

17.921

.154

2.3769

1.5979

-.9811

5.7349

T-Test Group Statistics

Position

Sex 1.00 2.00

N

Mean

Std. Error Mean

Std. Deviation

10

19.6482

1.51343

.47859

10

19.4275

1.87189

.59194

Independent Samples Test Levene's Test for Equality of Variances F

Position

Equal variances assumed Equal variances not assumed

.464

Sig.

.504

t-test for Equality of Means t

Sig. (2tailed)

df

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference Lower

Upper

.290

18

.775

.22063

.76121

-1.37861

1.81988

.290

17.244

.775

.22063

.76121

-1.38366

1.82492

149

T-Test Group Statistics

NorT_x_100

Sex 1.00

N

Mean

2.00

Std. Error Mean

Std. Deviation

11

1.3164

.17964

.05416

10

1.2487

.21579

.06824 Independent Samples Test

Levene's Test for Equality of Variances

F

t-test for Equality of Means

Sig.

t

Sig. (2tailed)

df

Mean Difference

95% Confidence Interval of the Difference

Std. Error Difference

Lower NorT_x_100

Equal variances assumed Equal variances not assumed

.113

.741

.785

19

.442

.06777

.08633

-.11293

.24847

.778

17.619

.447

.06777

.08712

-.11555

.25109

Regression: KA_ABD LFS-SSC, SQA Descriptive Statistics Mean KneeABD_ls

Std. Deviation

N

7.0793

2.39037

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations KneeABD_ls Pearson Correlation

Sig. (1-tailed)

N

KneeABD_ls

Sex2

SQA

SexSQA

1.000

.127

.327

.206

Sex2

.127

1.000

-.138

.857

SQA

.327

-.138

1.000

.252

SexSQA

.206

.857

.252

1.000

KneeABD_ls

Upper

.

.292

.074

.185

Sex2

.292

.

.276

.000

SQA

.074

.276

.

.135

SexSQA

.185

.000

.135

.

KneeABD_ls

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

150

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: KneeABD_ls Model Summary

Model

R

Adjusted R Square

R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.381(a)

.145

-.006

2.39727

F Change

.145

df1

.962

df2 3

Sig. F Change

17

.433

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares

df

Mean Square

F

Regression

16.580

3

5.527

Residual

97.697

17

5.747

114.278

20

Total

Sig. .962

.433(a)

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: KneeABD_ls Coefficients(a) Unstandardized Coefficients

Model

B 1

Standardized Coefficients

Std. Error 3.983

2.184

Sex2

1.907

2.885

.292 -.120

SexSQA

Sig.

Beta

(Constant) SQA

t

Lower Bound 1.824

.086

-.624

8.590

.661

.517

-4.178

7.993

.215

.448

1.361

.191

-.161

.746

.296

-.257

-.406

.690

-.745

.504

Coefficient Correlations(a) SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

-.930

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000

.088

-.046

-.794

SQA

-.046

.046

.440

Sex2

-.794

.440

8.320

SexSQA

a Dependent Variable: KneeABD_ls

Upper Bound

.408

a Dependent Variable: KneeABD_ls

Model 1

95% Confidence Interval for B

151

Regression: KM_ADD RUN, SQA Descriptive Statistics Mean km_add_run

Std. Deviation

.1348

N

.52979

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations km_add_run Pearson Correlation

km_add_run Sex2

.185

SQA

-.223

SexSQA

-.223

.120

1.000

-.138

.857

-.138

1.000

.252

.120

.857

.252

1.000

.

.211

.166

.302

Sex2

.211

.

.276

.000

SQA

.166

.276

.

.135

SexSQA

.302

.000

.135

.

km_add_run

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

km_add_run

N

SQA .185

SexSQA Sig. (1-tailed)

Sex2

1.000

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: km_add_run Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.291(a)

.085

-.077

.54980

F Change

.085

.524

df1

df2 3

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

.475

3

.158

Residual

5.139

17

.302

Total

5.614

20

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: km_add_run

F

Sig. .524

.672(a)

17

Sig. F Change .672

152

Coefficients(a)

Model

B 1

Standardized Coefficients

Unstandardized Coefficients

(Constant)

Std. Error

t

Sig.

95% Confidence Interval for B

Beta

Lower Bound

.464

.501

.927

.367

-.592

1.521

Sex2

-.112

.662

-.108

-.169

.868

-1.508

1.284

SQA

-.045

.049

-.312

-.915

.373

-.149

.059

.030

.068

.292

.446

.661

-.113

.174

SexSQA a Dependent Variable: km_add_run

Coefficient Correlations(a) Model 1

SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

-.930

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000

.005

-.002

-.042

SQA

-.002

.002

.023

Sex2

-.042

.023

.438

SexSQA

a Dependent Variable: km_add_run Regression: KM_ADD LFS, SQA Descriptive Statistics Mean km_add_lfs

Std. Deviation

N

-1.1579

.81766

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations km_add_lfs Pearson Correlation

SQA

SexSQA

1.000

-.062

.083

-.091

Sex2

-.062

1.000

-.138

.857

SexSQA Sig. (1-tailed)

Sex2

km_add_lfs SQA

N

Upper Bound

km_add_lfs

.083

-.138

1.000

.252

-.091

.857

.252

1.000

.

.394

.361

.348

Sex2

.394

.

.276

.000

SQA

.361

.276

.

.135

SexSQA

.348

.000

.135

.

km_add_lfs

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

153

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: km_add_lfs Model Summary

Model

R

Adjusted R Square

R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.208(a)

.043

-.125

.86743

F Change

.043

df1

.257

df2 3

17

Sig. F Change .855

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

.580

3

.193

Residual

12.791

17

.752

Total

13.371

20

F

Sig. .257

.855(a)

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: km_add_lfs Coefficients(a)

Model

Unstandardized Coefficients B

1

(Constant)

Std. Error

-1.684

.790

.671

1.044

.061

.078

-.083

.107

Sex2 SQA SexSQA

Standardized Coefficients

t

Sig.

Beta

Lower Bound .048

-3.351

-.017

.642

.529

-1.532

2.873

.272

.780

.446

-.103

.225

-.519

-.776

.448

-.309

.143

Coefficient Correlations(a) SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000 -.104

SexSQA

-.930

.011

-.006

SQA

-.006

.006

.058

Sex2

-.104

.058

1.089

a Dependent Variable: km_add_lfs

Upper Bound

-2.131 .420

a Dependent Variable: km_add_lfs

Model 1

95% Confidence Interval for B

154

Regression: KM_ADD SSC, SQA Descriptive Statistics Mean km_add_ssc

Std. Deviation

-2.0249

N

1.02486

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations km_add_ssc Pearson Correlation

km_add_ssc Sex2

.229

SQA

-.059

SexSQA

-.059

.242

1.000

-.138

.857

-.138

1.000

.252

.242

.857

.252

1.000

.

.160

.400

.145

Sex2

.160

.

.276

.000

SQA

.400

.276

.

.135

SexSQA

.145

.000

.135

.

km_add_ssc

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

km_add_ssc

N

SQA .229

SexSQA Sig. (1-tailed)

Sex2

1.000

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: km_add_ssc Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.281(a)

.079

-.084

1.06690

.079

F Change

df1

df2

.485

3

17

F

Sig.

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

1.656

3

.552

Residual

19.351

17

1.138

Total

21.007

20

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: km_add_ssc

.485

.697(a)

Sig. F Change .697

155

Coefficients(a)

Model

B 1

Standardized Coefficients

Unstandardized Coefficients

(Constant)

Std. Error

Sig.

Beta

-1.733

.972

Sex2

-.375

1.284

SQA

-.056

.096

.091

.132

SexSQA

t

95% Confidence Interval for B Lower Bound

Upper Bound

-1.784

.092

-3.784

.317

-.187

-.292

.774

-3.083

2.334

-.199

-.583

.568

-.257

.146

.453

.690

.499

-.187

.369

a Dependent Variable: km_add_ssc Coefficient Correlations(a) Model 1

SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

-.930

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000

.017

-.009

-.157

SQA

-.009

.009

.087

Sex2

-.157

.087

1.648

SexSQA

a Dependent Variable: km_add_ssc Regression: KM_ADD LFS-SSC, SQA Descriptive Statistics Mean km_add_ls

Std. Deviation

-3.9182

N

1.71533

21

Sex2

.5238

.51177

21

SQA

9.0152

3.66145

21

SexSQA

4.4762

5.10399

21

Correlations km_add_ls Pearson Correlation

km_add_ls

N

SQA

SexSQA

.188

-.022

.308

Sex2

.188

1.000

-.138

.857

SQA

-.022

-.138

1.000

.252

.308

.857

.252

1.000

SexSQA Sig. (1-tailed)

Sex2

1.000

km_add_ls

.

.208

.462

.088

Sex2

.208

.

.276

.000

SQA

.462

.276

.

.135

SexSQA

.088

.000

.135

.

km_add_ls

21

21

21

21

Sex2

21

21

21

21

SQA

21

21

21

21

SexSQA

21

21

21

21

156

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexSQA, SQA, Sex2(a)

Method .

Enter

a All requested variables entered. b Dependent Variable: km_add_ls Model Summary

Model

R

Adjusted R Square

R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.450(a)

.203

.062

1.66112

F Change

.203

1.442

df1

df2 3

Sig. F Change

17

.265

a Predictors: (Constant), SexSQA, SQA, Sex2 ANOVA(b)

Model 1

Sum of Squares

df

Mean Square

F

Regression

11.938

3

3.979

Residual

46.909

17

2.759

Total

58.847

20

Sig. 1.442

.265(a)

a Predictors: (Constant), SexSQA, SQA, Sex2 b Dependent Variable: km_add_ls Coefficients(a) Unstandardized Coefficients

Model

B 1

Standardized Coefficients

Std. Error

Sig.

Beta

(Constant)

-2.318

1.513

Sex2

-2.885

1.999

SQA

-.202 .388

SexSQA

t

Lower Bound -1.532

.144

-5.510

.874

-1.443

.167

-7.102

1.332

.149

-.432

-1.360

.192

-.516

.112

.205

1.154

1.891

.076

-.045

.821

Coefficient Correlations(a) SexSQA Correlations

Covariances

SQA

Sex2

SexSQA

1.000

-.726

-.930

SQA

-.726

1.000

.710

Sex2

-.930

.710

1.000

.042

-.022

-.381

SQA

-.022

.022

.211

Sex2

-.381

.211

3.995

SexSQA

a Dependent Variable: km_add_ls

Upper Bound

-.861

a Dependent Variable: km_add_ls

Model 1

95% Confidence Interval for B

157

Regression: KneeABD_RUN, ECC Descriptive Statistics Mean KneeABD_run

Std. Deviation

3.6434

Sex2

N

2.36553

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21 Correlations

KneeABD_run Pearson Correlation

KneeABD_run

Sig. (1-tailed)

N

Sex2

EccHipNorm

1.000

.200

Sex2

.200

EccHipNorm

.225

SexECCNorm KneeABD_run

SexECCNorm

.225

.274

1.000

.177

.983

.177

1.000

.294

.274

.983

.294

1.000

.

.192

.163

.114

Sex2

.192

.

.221

.000

EccHipNorm

.163

.221

.

.098

SexECCNorm

.114

.000

.098

.

KneeABD_run

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexECCNorm, EccHipNorm, Sex2(a)

Method

.

Enter

a All requested variables entered. b Dependent Variable: KneeABD_run Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.477(a)

.227

.091

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2

2.25513

.227

F Change 1.669

df1

df2 3

17

Sig. F Change .211

158

ANOVA(b)

Model 1

Sum of Squares

df

Mean Square

F

Regression

25.459

3

8.486

Residual

86.455

17

5.086

111.915

20

Total

Sig. 1.669

.211(a)

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: KneeABD_run Coefficients(a) Unstandardized Coefficients

Model

B 1

(Constant)

Std. Error

5.420

4.408

-11.595

6.870

-181.099 SexECCNor 960.395 m a Dependent Variable: KneeABD_run

Sex2 EccHipNorm

Standardized Coefficients

t

Sig.

Beta

95% Confidence Interval for B Lower Bound

.236

-3.880

14.720

-2.508

-1.688

.110

-26.090

2.901

348.354

-.150

-.520

.610

-916.062

553.864

528.151

2.783

1.818

.087

-153.906

2074.696

Coefficient Correlations(a) Model 1

SexECCNorm Correlations

Covariances

Sex2

1.000

-.660

EccHipNorm

-.660

1.000

.633

Sex2

-.989

.633

1.000

SexECCNorm

278943.241

-121350.627

-3589.892

EccHipNorm

-121350.627

121350.627

1515.273

-3589.892

1515.273

47.203

a Dependent Variable: KneeABD_run Regression: KneeABD_LFS, ECC Descriptive Statistics Mean Sex2

EccHipNorm

SexECCNorm

Sex2

KneeABD_lfs

4.7661

Upper Bound

1.230

Std. Deviation

N

3.02401

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21

-.989

159

Correlations KneeABD_lfs Pearson Correlation

KneeABD_lfs

Sig. (1-tailed)

N

Sex2

EccHipNorm

SexECCNorm

1.000

.519

.304

.589

Sex2

.519

1.000

.177

.983

EccHipNorm

.304

.177

1.000

.294

SexECCNorm

.589

.983

.294

1.000

KneeABD_lfs

.

.008

.090

.002

Sex2

.008

.

.221

.000

EccHipNorm

.090

.221

.

.098

SexECCNorm

.002

.000

.098

.

KneeABD_lfs

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexECCNorm, EccHipNorm, Sex2(a)

Method

.

Enter

a All requested variables entered. b Dependent Variable: KneeABD_lfs Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.677(a)

.458

.363

2.41421

F Change

.458

df1

4.793

df2 3

17

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression Residual Total

df

Mean Square

83.809

3

27.936

99.083

17

5.828

182.892

20

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: KneeABD_lfs

F

Sig. 4.793

.013(a)

Sig. F Change .013

160

Coefficients(a)

Model

Unstandardized Coefficients B

1

(Constant)

Std. Error 5.420

Sex2

Standardized Coefficients

t

Sig.

Beta

4.719

95% Confidence Interval for B Lower Bound

1.149

.267

Upper Bound

-4.536

15.376

-12.525

7.355

-2.120

-1.703

.107

-28.043

2.993

EccHipNorm

-181.099

372.928

-.117

-.486

.633

-967.908

605.709

SexECCNorm

1193.871

565.407

2.707

2.112

.050

.966

2386.776

a Dependent Variable: KneeABD_lfs Coefficient Correlations(a) Model 1

SexECCNorm Correlations

Sex2

1.000

-.660

-.989

EccHipNorm

-.660

1.000

.633

Sex2 Covariances

EccHipNorm

SexECCNorm

-.989

.633

1.000

SexECCNorm

319685.378

-139074.964

-4114.228

EccHipNorm

-139074.964

139074.964

1736.592

-4114.228

1736.592

54.097

Sex2 a Dependent Variable: KneeABD_lfs Regression: KneeABD_SSC, ECC Descriptive Statistics Mean KneeABD_ssc

6.1463

Sex2

Std. Deviation

N

2.29470

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21 Correlations

KneeABD_ssc Pearson Correlation

Sig. (1-tailed)

N

KneeABD_ssc

Sex2

EccHipNorm

1.000

.244

Sex2

.244

EccHipNorm

.392

SexECCNorm KneeABD_ssc

SexECCNorm

.392

.325

1.000

.177

.983

.177

1.000

.294

.325

.983

.294

1.000

.

.143

.039

.075

Sex2

.143

.

.221

.000

EccHipNorm

.039

.221

.

.098

SexECCNorm

.075

.000

.098

.

KneeABD_ssc

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

161

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

Method

SexECCNorm, EccHipNorm, Sex2(a)

.

Enter

a All requested variables entered. b Dependent Variable: KneeABD_ssc Model Summary

Model

R

Adjusted R Square

R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.526(a)

.277

.149

2.11637

F Change

.277

df1

Sig. F Change

df2

2.171

3

17

.129

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

Mean Square

F

3

9.723

76.143

17

4.479

105.313

20

Residual Total

df

29.170

Sig. 2.171

.129(a)

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: KneeABD_ssc Coefficients(a)

Model

Unstandardized Coefficients B

1

(Constant)

Std. Error 4.257

Sex2

Standardized Coefficients

t

Sig.

Beta

95% Confidence Interval for B Lower Bound

4.137

1.029

.318

-4.471

12.984

-8.565

6.448

-1.910

-1.328

.202

-22.168

5.038

EccHipNorm

105.403

326.920

.090

.322

.751

-584.337

795.143

SexECCNorm

728.319

495.653

2.176

1.469

.160

-317.418

1774.056

a Dependent Variable: KneeABD_ssc Coefficient Correlations(a) Model 1

Upper Bound

SexECCNorm Correlations

Sex2

1.000

-.660

-.989

EccHipNorm

-.660

1.000

.633

Sex2 Covariances

EccHipNorm

SexECCNorm

-.989

.633

1.000

SexECCNorm

245672.074

-106876.439

-3161.705

EccHipNorm

-106876.439

106876.439

1334.537

-3161.705

1334.537

41.573

Sex2 a Dependent Variable: KneeABD_ssc

162

Regression: KneeABD_LFS-SSC, ECC Descriptive Statistics Mean KneeABD_ls

Std. Deviation

7.0793

Sex2

N

2.39037

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21 Correlations

KneeABD_ls Pearson Correlation

KneeABD_ls

Sig. (1-tailed)

EccHipNorm .127

Sex2

.127

EccHipNorm

.304

SexECCNorm

SexECCNorm

.304

.190

1.000

.177

.983

.177

1.000

.294

.190

.983

.294

1.000

.

.292

.090

.204

Sex2

.292

.

.221

.000

EccHipNorm

.090

.221

.

.098

SexECCNorm

.204

.000

.098

.

KneeABD_ls

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

KneeABD_ls

N

Sex2

1.000

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexECCNorm, EccHipNorm, Sex2(a)

Method

.

Enter

a All requested variables entered. b Dependent Variable: KneeABD_ls Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.382(a)

.146

-.004

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2

2.39560

.146

F Change .971

df1

df2 3

17

Sig. F Change .429

163

ANOVA(b)

Model 1

Sum of Squares

df

Mean Square

F

Regression

16.716

3

5.572

Residual

97.561

17

5.739

114.278

20

Total

Sig. .971

.429(a)

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: KneeABD_ls Coefficients(a) Unstandardized Coefficients

Model

B 1

(Constant)

Standardized Coefficients

Std. Error

t

Sig.

Beta

95% Confidence Interval for B Lower Bound

-6.744

7.298

-1.444

.368

-22.142

8.654

EccHipNorm

114.871

370.053

.094

.310

.760

-665.873

895.614

SexECCNorm

551.393

561.049

1.581

.983

.339

-632.317

1735.102

5.335

Sex2

4.682

.270

-4.544

a Dependent Variable: KneeABD_ls

Coefficient Correlations(a) Model 1

Upper Bound

1.13 9 -.924

SexECCNorm Correlations

Covariances

EccHipNorm

1.000

-.660

EccHipNorm

-.660

1.000

.633

Sex2

-.989

.633

1.000

SexECCNorm

314775.680

-136939.064

-4051.042

EccHipNorm

-136939.064

136939.064

1709.921

-4051.042

1709.921

53.266

Sex2 a Dependent Variable: KneeABD_ls Regression: KM ADD_RUN, ECC Descriptive Statistics Mean km_add_run Sex2

Sex2

SexECCNorm

.1348

Std. Deviation

N

.52979

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21

-.989

15.214

164

Correlations km_add_run Pearson Correlation

km_add_run

Sig. (1-tailed)

EccHipNorm

SexECCNorm

1.000

.185

.159

.239

Sex2

.185

1.000

.177

.983

EccHipNorm

.159

.177

1.000

.294

SexECCNorm

.239

.983

.294

1.000

.

.211

.246

.149

km_add_run

N

Sex2

Sex2

.211

.

.221

.000

EccHipNorm

.246

.221

.

.098

SexECCNorm

.149

.000

.098

.

km_add_run

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

Method

SexECCNorm, EccHipNorm, Sex2(a)

.

Enter

a All requested variables entered. b Dependent Variable: km_add_run Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.374(a)

.140

-.012

.53290

F Change

.140

df1

.922

3

Sig. F Change

df2 17

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

.786

3

.262

Residual

4.828

17

.284

Total

5.614

20

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: km_add_run

F

Sig. .922

.451(a)

.451

165

Coefficients(a) Unstandardized Coefficients

Model

B 1

(Constant) Sex2

Standardized Coefficients

Std. Error

t

Sig.

Beta

95% Confidence Interval for B Lower Bound

Upper Bound

.497

1.042

.478

.639

-1.700

2.695

-1.970

1.624

-1.903

-1.213

.242

-5.395

1.456

82.319

-.137

-.450

.658

-210.740

136.615

124.806

2.149

1.330

.201

-97.276

429.360

EccHipNor -37.063 m SexECCNor 166.042 m a Dependent Variable: km_add_run

Coefficient Correlations(a) Model 1

SexECCNorm Correlations

Covariances

EccHipNorm

Sex2

SexECCNorm

1.000

-.660

EccHipNorm

-.660

1.000

.633

Sex2

-.989

.633

1.000

SexECCNorm

15576.577

-6776.387

-200.465

EccHipNorm

-6776.387

6776.387

84.615

-200.465

84.615

2.636

Sex2

-.989

a Dependent Variable: km_add_run Regression: KM ADD_LFS, ECC Descriptive Statistics Mean km_add_lfs Sex2

Std. Deviation

-1.1579

N

.81766

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21

Correlations km_add_lfs Pearson Correlation

Sig. (1-tailed)

N

Sex2

EccHipNorm

SexECCNorm

km_add_lfs

1.000

-.062

.299

-.021

Sex2

-.062

1.000

.177

.983

EccHipNorm

.299

.177

1.000

.294

SexECCNorm

-.021

.983

.294

1.000

.

.394

.094

.464

km_add_lfs Sex2

.394

.

.221

.000

EccHipNorm

.094

.221

.

.098

SexECCNorm

.464

.000

.098

.

km_add_lfs

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

166

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

Method

SexECCNorm, EccHipNorm, Sex2(a)

.

Enter

a All requested variables entered. b Dependent Variable: km_add_lfs Model Summary

Model

R

Adjusted R Square

R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.322(a)

.103

-.055

.83974

F Change

.103

df1

Sig. F Change

df2

.654

3

17

F

Sig.

.591

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

1.384

3

.461

Residual

11.988

17

.705

Total

13.371

20

.654

.591(a)

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: km_add_lfs Coefficients(a) Unstandardized Coefficients

Model

B 1

(Constant)

Std. Error

-2.726

Sex2 EccHipNorm

Standardized Coefficients

t

Sig.

Beta

95% Confidence Interval for B Lower Bound

1.641

-1.661

.115

-6.188

-.314

2.558

-.197

-.123

.904

-5.712

5.083

129.716

.310

1.000

.331

-143.961

403.393

9.627

196.667

.081

.049

.962

-405.303

424.558

Coefficient Correlations(a) SexECCNorm Correlations

EccHipNorm

Sex2

SexECCNorm

1.000

-.660

-.989

EccHipNorm

-.660

1.000

.633

Sex2 Covariances

-.989

.633

1.000

SexECCNorm

38677.746

-16826.250

-497.768

EccHipNorm

-16826.250

16826.250

210.105

-497.768

210.105

6.545

Sex2 a Dependent Variable: km_add_lfs

.737

129.716

SexECCNor m a Dependent Variable: km_add_lfs

Model 1

Upper Bound

167

Regression: KM ADD_SSC, ECC Descriptive Statistics Mean km_add_ssc

Std. Deviation

N

-2.0249

1.02486

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21

Sex2

Correlations km_add_ssc Pearson Correlation

km_add_ssc

SexECCNorm

-.378

.158

.229

1.000

.177

.983

EccHipNorm

-.378

.177

1.000

.294

SexECCNorm

.158

.983

.294

1.000

km_add_ssc

N

EccHipNorm .229

Sex2

Sig. (1-tailed)

Sex2

1.000

.

.160

.045

.247

Sex2

.160

.

.221

.000

EccHipNorm

.045

.221

.

.098

SexECCNorm

.247

.000

.098

.

km_add_ssc

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexECCNorm, EccHipNorm, Sex2(a)

Method

.

Enter

a All requested variables entered. b Dependent Variable: km_add_ssc

Model Summary

Model

1

R

.494(a)

R Square

.244

Adjusted R Square

Std. Error of the Estimate

.111

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2

.96632

Change Statistics R Square Change

F Change

.244

1.832

df1

Sig. F Change

df2 3

17

.180

168

ANOVA(b)

Model 1

Sum of Squares Regression

df

Mean Square

F

5.133

3

1.711

Residual

15.874

17

.934

Total

21.007

20

Sig. 1.832

.180(a)

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: km_add_ssc

Coefficients(a) Unstandardized Coefficients

Model

B 1

Standardized Coefficients

Std. Error

t

Sig.

-.025

.981

-4.031

3.938

Beta

95% Confidence Interval for B Lower Bound

Upper Bound

(Constant)

-.046

1.889

Sex2

2.056

2.944

1.027

.699

.494

-4.155

8.268

-177.645 SexECCNor -112.302 m a Dependent Variable: km_add_ssc

149.269

-.339

-1.190

.250

-492.574

137.285

226.311

-.751

-.496

.626

-589.777

365.172

EccHipNorm

Coefficient Correlations(a) Model 1

SexECCNorm Correlations

-.660

-.989

EccHipNorm

-.660

1.000

.633

-.989

.633

1.000

SexECCNorm

51216.622

-22281.125

-659.138

EccHipNorm

-22281.125

22281.125

278.218

-659.138

278.218

8.667

Sex2 a Dependent Variable: km_add_ssc

Regression: KM ADD_LFS, ECC

Descriptive Statistics Mean km_add_ls Sex2

Sex2

1.000

Sex2 Covariances

EccHipNorm

SexECCNorm

-3.9182

Std. Deviation

N

1.71533

21

.5238

.51177

21

EccHipNorm

.012842

.0019568

21

SexECCNorm

.006896

.0068558

21

169

Correlations km_add_ls Pearson Correlation

km_add_ls

SexECCNorm

-.189

.204

.188

1.000

.177

.983

EccHipNorm

-.189

.177

1.000

.294

SexECCNorm

.204

.983

.294

1.000

km_add_ls

N

EccHipNorm .188

Sex2

Sig. (1-tailed)

Sex2

1.000

.

.208

.205

.188

Sex2

.208

.

.221

.000

EccHipNorm

.205

.221

.

.098

SexECCNorm

.188

.000

.098

.

km_add_ls

21

21

21

21

Sex2

21

21

21

21

EccHipNorm

21

21

21

21

SexECCNorm

21

21

21

21

Variables Entered/Removed(b)

Model 1

Variables Entered

Variables Removed

SexECCNorm, EccHipNorm, Sex2(a)

Method

.

Enter

a All requested variables entered. b Dependent Variable: km_add_ls Model Summary

Model

R

R Square

Adjusted R Square

Std. Error of the Estimate

Change Statistics R Square Change

1

.447(a)

.200

.059

1.66413

F Change

.200

df1

1.416

Sig. F Change

df2 3

17

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2

ANOVA(b)

Model 1

Sum of Squares

df

Mean Square

Regression

11.768

3

3.923

Residual

47.079

17

2.769

Total

58.847

20

a Predictors: (Constant), SexECCNorm, EccHipNorm, Sex2 b Dependent Variable: km_add_ls

F

Sig. 1.416

.272(a)

.272

170

Coefficients(a) Unstandardized Coefficients

Model

B 1

(Constant)

t

Sig.

Beta

95% Confidence Interval for B Lower Bound

1.557

3.253

.479

.638

-5.305

5.070

-2.096

-1.386

.184

-17.723

3.671

-464.899

257.062

-.530

-1.809

.088

-1007.252

77.454

389.740

2.420

1.553

.139

-216.846

1427.711

SexECCNor 605.433 m a Dependent Variable: km_add_ls

Coefficient Correlations(a) Model 1

Upper Bound

-7.026

Sex2 EccHipNorm

Std. Error

Standardized Coefficients

SexECCNorm Correlations

Covariances

Sex2

1.000

-.660

EccHipNorm

-.660

1.000

.633

Sex2

-.989

.633

1.000

SexECCNorm

151896.905

-66080.772

-1954.855

EccHipNorm

-66080.772

66080.772

825.133

-1954.855

825.133

25.704

Sex2 a Dependent Variable: km_add_ls

EccHipNorm

SexECCNorm

-.989

8.420

171

Factor Analysis_Manuscript3 Correlation Matrix

Knee EXT Correlation

KneeEXT KneeABD

1.00

Hip FLX

Hip ABD

Hip ER

Foot Ang

MKn e FLX

MKn e EXT

MKn e ABD

MKn e ADD

MKn e IR

.426

-.464

.233

-.068

-.382

.252

-.288

.735

-.502

.217

-.266 .030

.426

1.00

-.193

.317

.144

-.147

-.069

-.065

.371

-.578

-.409

KneeIR

-.464

-.193

1.00

-.301

.180

.530

-.477

.156

-.319

.341

-.195

.264

HipFLX

.233

.317

-.301

1.00

-.212

-.138

.083

.286

.241

-.275

-.022

-.129

HipABD

-.068

.144

.180

-.212

1.00

.138

-.143

.350

-.095

-.248

-.664

.353

HipER

-.382

-.147

.530

-.138

.138

1.00

-.563

.118

-.137

-.029

-.318

.469

.252

-.069

-.477

.083

-.143

-.563

1.00

-.220

.108

.107

.361

-.371

-.288

-.065

.156

.286

.350

.118

-.220

1.00

-.196

.033

-.466

.218

FootAng MKneFLX MKneEXT

.735

.371

-.319

.241

-.095

-.137

.108

-.196

1.00

-.532

.150

-.197

MKneABD

-.502

-.578

.341

-.275

-.248

-.029

.107

.033

-.532

1.00

.341

-.071

MKneADD

.217

-.409

-.195

-.022

-.664

-.318

.361

-.466

.150

.341

1.00

-.500

MKneIR

-.266

.030

.264

-.129

.353

.469

-.371

.218

-.197

-.071

-.500

1.00

MKneER

.441

.100

-.273

.295

-.124

.038

-.073

-.064

.384

-.499

.153

.205 -.054

MHipEXT

.339

.150

.212

-.319

.086

.090

-.014

-.589

.388

-.274

.134

MHipABD

-.620

-.377

.417

-.280

-.145

.164

-.028

.084

-.590

.871

.096

.171

MHipADD

.264

-.319

-.223

-.045

-.621

-.282

.332

-.510

.161

.282

.958

-.482

MHipIR

-.362

-.322

.274

-.124

-.304

-.167

.116

.036

-.474

.888

.291

.000

MHipER

.228

-.286

.057

-.167

-.534

-.281

.219

-.509

.164

.345

.861

-.309

MKne ER Correlation

Knee IR

Knee ABD

KneeEXT KneeABD

MHip EXT

MHip ABD

MHip ADD

MHip IR

MHip ER

.441

.339

-.620

.264

-.362

.228

.100

.150

-.377

-.319

-.322

-.286

KneeIR

-.273

.212

.417

-.223

.274

.057

HipFLX

.295

-.319

-.280

-.045

-.124

-.167

HipABD

-.124

.086

-.145

-.621

-.304

-.534

HipER

.038

.090

.164

-.282

-.167

-.281

FootAng

-.073

-.014

-.028

.332

.116

.219

MKneFLX

-.064

-.589

.084

-.510

.036

-.509

MKneEXT

.384

.388

-.590

.161

-.474

.164

MKneABD

-.499

-.274

.871

.282

.888

.345

MKneADD

.153

.134

.096

.958

.291

.861

MKneIR

.205

-.054

.171

-.482

.000

-.309

MKneER

1.000

.179

-.552

.144

-.390

.071

MHipEXT

.179

1.000

-.352

.109

-.314

.314

MHipABD

-.552

-.352

1.000

.101

.847

.179

MHipADD

.144

.109

.101

1.000

.243

.836

MHipIR

-.390

-.314

.847

.243

1.000

.386

MHipER

.071

.314

.179

.836

.386

1.000

172

Communalities Initial

Extraction

KneeEXT

1.000

.728

KneeABD

1.000

.456

KneeIR

1.000

.673

HipFLX

1.000

.682

HipABD

1.000

.668

HipER

1.000

.742

FootAng

1.000

.623

MKneFLX

1.000

.676

MKneEXT

1.000

.634

MKneABD

1.000

.904

MKneADD

1.000

.947

MKneIR

1.000

.507

MKneER

1.000

.702

MHipEXT

1.000

.843

MHipABD

1.000

.854

MHipADD

1.000

.896

MHipIR

1.000

.763

MHipER

1.000

.851

Extraction Method: Principal Component Analysis. Total Variance Explained

Component Total

Initial Eigenvalues Cumulative % of Variance %

Extraction Sums of Squared Loadings % of Total Variance Cumulative %

Rotation Sums of Squared Loadings(a) Total

1

4.793

26.625

26.625

4.793

26.625

26.625

4.713

2

4.705

26.137

52.762

4.705

26.137

52.762

4.121

3

2.186

12.147

64.909

2.186

12.147

64.909

2.095

4

1.465

8.137

73.046

1.465

8.137

73.046

3.060

5

1.001

5.563

78.609

6

.857

4.761

83.370

7

.734

4.075

87.445

8

.511

2.836

90.281

9

.479

2.659

92.939

10

.306

1.701

94.640

11

.263

1.460

96.100

12

.241

1.341

97.441

13

.171

.951

98.392

14

.123

.681

99.073

15

.070

.389

99.462

16

.050

.278

99.740

17

.030

.165

99.905

18

.017

.095

100.000

Extraction Method: Principal Component Analysis. a When components are correlated, sums of squared loadings cannot be added to obtain a total variance.

173

Scree Plot

5

Eigenvalue

4

3

2

1

0 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Component Number Component Matrix(a) Component 1

2

3

4

KneeEXT

-.813

.250

-.004

-.073

KneeABD

-.541

-.330

-.119

-.202

KneeIR

.563

-.242

.544

.054

HipFLX

-.357

-.066

-.563

.483

HipABD

-.006

-.687

.073

-.437

.274

-.467

.537

.401

-.176

.493

-.424

-.411

MKneFLX

.251

-.552

-.488

.265

MKneEXT

-.773

.129

.131

.050

MKneABD

.847

.422

-.081

-.043

MKneADD

-.036

.947

.088

.204

MKneIR

.219

-.570

.263

.256

MKneER

-.583

.003

.149

.584

MHipEXT

-.382

.133

.763

-.313

MHipABD

.904

.185

-.048

-.023

MHipADD

-.070

.920

.104

.182

MHipIR

.745

.416

-.186

-.001

MHipER

.031

.863

.311

.086

HipER FootAng

Extraction Method: Principal Component Analysis. a 4 components extracted.

16

17

18

174

Pattern Matrix(a) Component 1

2

3

4

KneeEXT

-.722

.161

.093

-.324

KneeABD

-.508

-.407

-.007

-.195

KneeIR

.373

-.043

.334

.598

HipFLX

-.319

.130

-.743

-.080

HipABD

-.053

-.801

.225

.022

HipER

.000

.000

.074

.859

FootAng

.075

.038

.021

-.783

MKneFLX

.207

-.381

-.631

.142

MKneEXT

-.754

.173

.097

-.097

MKneABD

.902

.278

.023

-.070

MKneADD

.064

.896

.088

-.191

MKneIR

.015

-.233

-.057

.615

MKneER

-.692

.410

-.253

.367

MHipEXT

-.449

.083

.806

.140

MHipABD

.907

.110

-.002

.071

MHipADD

.027

.866

.110

-.192

MHipIR

.818

.277

-.083

-.128

MHipER

.087

.805

.319

-.081

Extraction Method: Principal Component Analysis. , Rotation Method: Oblimin with Kaiser Normalization. a Rotation converged in 11 iterations. Structure Matrix Component 1

2

3

4

KneeEXT

-.750

.230

.086

-.439

KneeABD

-.538

-.373

-.065

-.156

KneeIR

.449

-.139

.339

.646

HipFLX

-.351

.067

-.740

-.140

HipABD

-.059

-.784

.142

.201

HipER

.095

-.191

.068

.858

-.008

.223

.032

-.784

MKneFLX

.192

-.475

-.664

.256

MKneEXT

-.757

.190

.089

-.219

MKneABD

.900

.315

.084

-.038

MKneADD

.064

.951

.183

-.392

MKneIR

.075

-.381

-.084

.671

MKneER

-.653

.286

-.237

.199

MHipEXT

-.404

.124

.797

.068

MHipABD

.917

.112

.040

.143

MHipADD

.028

.922

.201

-.390

MHipIR

.807

.315

-.026

-.104

MHipER

.106

.858

.405

-.260

FootAng

Extraction Method: Principal Component Analysis. , Rotation Method: Oblimin with Kaiser Normalization.

175

Component Correlation Matrix Component 1

1

2

3

4

1.000

.020

.035

.108

2

.020

1.000

.102

-.232

3

.035

.102

1.000

-.006

4

.108

-.232

-.006

1.000

Extraction Method: Principal Component Analysis. Rotation Method: Oblimin with Kaiser Normalization.

General Linear Model: FACTOR 1 Within-Subjects Factors Measure: MEASURE_1 factor 1

FAC1RUN

Dependent Variable

2

FAC1LFS

3

FAC1SSC

4

FAC1LS Between-Subjects Factors N

Sex

F

11

M

10 Descriptive Statistics

FAC1RU N

FAC1LFS

FAC1SSC

FAC1LS

Sex F

Mean

Std. Deviation

N

.1766

.67292

11

M

.4348

.82682

10

Total

.2996

.74264

21

F

.1709

.92448

11

M

.3232

1.09406

10

Total

.2434

.98593

21

F

-.1184

1.03296

11

M

-.1407

1.18009

10

Total

-.1291

1.07718

21

F

-.2785

1.01611

11

M

-.5629

1.13021

10

Total

-.4140

1.05463

21

176

Multivariate Tests(c)

Effect factor

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.547

6.834(b)

3.000

17.000

.003

.547

20.503

.937

Wilks' Lambda

.453

6.834(b)

3.000

17.000

.003

.547

20.503

.937

1.206

6.834(b)

3.000

17.000

.003

.547

20.503

.937

1.206

6.834(b)

3.000

17.000

.003

.547

20.503

.937

.122

.787(b)

3.000

17.000

.517

.122

2.362

.184

.878 Hotelling's .139 Trace Roy's Largest .139 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+Sex Within Subjects Design: factor

.787(b)

3.000

17.000

.517

.122

2.362

.184

.787(b)

3.000

17.000

.517

.122

2.362

.184

.787(b)

3.000

17.000

.517

.122

2.362

.184

factor * Sex

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. ChiSquare

df

Sig.

Epsilon(a) GreenhouseGeisser

factor

.776

4.498

5

.481

Huynh-Feldt

.866

Lower-bound

1.000

.333

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+Sex Within Subjects Design: factor Tests of Within-Subjects Effects Measure: MEASURE_1 Source factor

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

factor * Sex

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(factor)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

a Computed using alpha = .05

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

7.298

3

2.433

7.146

.000

.273

21.437

.975

7.298

2.597

2.811

7.146

.001

.273

18.554

.958

7.298

3.000

2.433

7.146

.000

.273

21.437

.975

7.298

1.000

7.298

7.146

.015

.273

7.146

.718

.883

3

.294

.865

.465

.044

2.594

.227

.883

2.597

.340

.865

.452

.044

2.245

.211

.883

3.000

.294

.865

.465

.044

2.594

.227

.883

1.000

.883

.865

.364

.044

.865

.143

19.406

57

.340

19.406

49.335

.393

19.406

57.000

.340

19.406

19.000

1.021

177

Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source factor

Type III Sum of Squares

factor Linear

factor * Sex

F

Partial Eta Squared

Sig.

Noncent. Parameter

Observed Power(a)

6.845

1

6.845

17.894

.000

.485

17.894

.980

Quadratic

.283

1

.283

.724

.405

.037

.724

.128

Cubic

.171

1

.171

.688

.417

.035

.688

.124

Linear

.851

1

.851

2.225

.152

.105

2.225

.294

Quadratic

.032

1

.082

.778

.004

.082

.059

.000

.985

.000

.000

.050

9.02E-005

1

Linear

7.267

19

.032 9.02E005 .382

Quadratic

7.427

19

.391

Cubic

4.711

19

.248

Cubic Error(factor)

Mean Square

df

a Computed using alpha = .05 Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Type III Sum of Squares Source df Intercept 3.20E-005 Sex Error

Mean Square

F

Sig.

.000

.997

.000

.000

.050

.014

1

.014

.005

.945

.000

.005

.050

55.619

19

2.927

1. Grand Mean Measure: MEASURE_1 Std. Error

95% Confidence Interval Lower Bound

.187

Upper Bound

-.391

.392

2. Sex Measure: MEASURE_1 Sex

Mean

Observed Power(a)

3.20E-005

Estimated Marginal Means

.001

Noncent. Parameter

1

a Computed using alpha = .05

Mean

Partial Eta Squared

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

F

-.012

.258

-.552

.527

M

.014

.271

-.553

.580

178

3. factor Measure: MEASURE_1 factor

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

1

.306

.164

-.037

.649

2

.247

.220

-.214

.708

3

-.130

.241

-.635

.376

4

-.421

.234

-.911

.069

4. Sex * factor Measure: MEASURE_1 Mea Sex factor n

Std. Error

95% Confidence Interval Lower Bound

F

M

.177

.226

-.297

.650

2

.171

.304

-.465

.807

3

-.118

.333

-.816

.579

4

-.279

.323

-.955

.398

1

.435

.237

-.061

.931

2

.323

.319

-.344

.991

3

-.141

.349

-.872

.591

4

-.563

.339

-1.272

.146

General Linear Model: FACTOR 2 Within-Subjects Factors Measure: MEASURE_1 factor 1

FAC2RUN

2

FAC2LFS

3

FAC2SSC

4

FAC2LS

Dependent Variable

Between-Subjects Factors N Sex

Upper Bound

1

F

11

M

10

179

Descriptive Statistics

FAC2RUN

Sex F

Mean

.24247

11

.9047

.23327

10

1.0910

.29495

21

F

.2631

.45405

11

M

.1636

.27111

10

Total

.2157

.37249

21

F

.1011

.65218

11

M

-.1501

.34834

10

Total

-.0185

.53272

21

F

-1.1037

.90502

11

M

-1.4912

.57747

10

Total

-1.2882

.77391

21

Total

FAC2SSC

FAC2LS

N

1.2603

M FAC2LFS

Std. Deviation

Multivariate Tests(c)

Effect factor

Value Pillai's Trace

factor * Sex

Wilks' Lambda Hotelling's Trace Roy's Largest Root Pillai's Trace

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

.929

74.016(b)

3.000

17.000

.000

.929

222.047

1.000

.071

74.016(b)

3.000

17.000

.000

.929

222.047

1.000

13.062

74.016(b)

3.000

17.000

.000

.929

222.047

1.000

13.062

74.016(b)

3.000

17.000

.000

.929

222.047

1.000

.123 Wilks' .877 Lambda Hotelling's .140 Trace Roy's Largest .140 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+Sex Within Subjects Design: factor

.792(b)

3.000

17.000

.515

.123

2.375

.185

.792(b)

3.000

17.000

.515

.123

2.375

.185

.792(b)

3.000

17.000

.515

.123

2.375

.185

.792(b)

3.000

17.000

.515

.123

2.375

.185

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Mauchly's W

Approx. ChiSquare

df

Sig.

Epsilon(a) GreenhouseGeisser

factor

.483

12.915

5

.024

.689

Huynh-Feldt

Lower-bound

.815

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+Sex Within Subjects Design: factor

.333

180

Tests of Within-Subjects Effects Measure: MEASURE_1 Source factor

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

factor * Sex

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(factor)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

60.788

3

20.263

108.471

.000

.851

325.414

1.000

60.788

2.067

29.404

108.471

.000

.851

224.248

1.000

60.788

2.446

24.854

108.471

.000

.851

265.302

1.000

60.788

1.000

60.788

108.471

.000

.851

108.471

1.000

.265

3

.088

.472

.703

.024

1.417

.140

.265

2.067

.128

.472

.633

.024

.976

.123

.265

2.446

.108

.472

.665

.024

1.155

.130

.265

1.000

.265

.472

.500

.024

.472

.100

10.648

57

.187

10.648

39.280

.271

10.648

46.471

.229

10.648

19.000

.560

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source factor

factor Linear

Type III Sum of Squares

Error(factor)

Mean Square

57.024

1

Quadratic factor * Sex

df

57.024

F

Sig.

Partial Eta Squared

Noncent. Parameter 166.996

166.996

.000

.898

Observed Power(a) 1.000

.854

1

.854

6.041

.024

.241

6.041

.645

Cubic

2.909

1

2.909

37.516

.000

.664

37.516

1.000

Linear

.016

1

.016

.047

.831

.002

.047

.055

Quadratic

.202

1

.202

1.427

.247

.070

1.427

.206

Cubic

.047

1

.047

.604

.447

.031

.604

.114

Linear

6.488

19

.341

Quadratic

2.686

19

.141

Cubic

1.473

19

.078

a Computed using alpha = .05 Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

.004

1

.004

.007

.934

.000

.007

.051

Sex

1.567

1

1.567

3.072

.096

.139

3.072

.384

Error

9.690

19

.510

a Computed using alpha = .05

181

Estimated Marginal Means 1. Grand Mean Measure: MEASURE_1 Mean

Std. Error

95% Confidence Interval Lower Bound

-.007

.078

Upper Bound

-.170

.157

2. Sex Measure: MEASURE_1 Sex

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

F

.130

.108

-.095

.356

M

-.143

.113

-.380

.093

3. factor Measure: MEASURE_1 factor

Mean

Std. Error

95% Confidence Interval Lower Bound

1

1.083

.052

2

.213

3

-.024

4

-1.297

Upper Bound

.974

1.191

.083

.040

.386

.116

-.267

.218

.168

-1.648

-.947

4. Sex * factor Measure: MEASURE_1 Sex

factor

Mean

Std. Error

F

1

1.260

.072

2

.263

3

.101

4 1

95% Confidence Interval Lower Bound

M

Upper Bound

1.110

1.411

.114

.024

.502

.160

-.234

.436

-1.104

.231

-1.588

-.619

.905

.075

.747

1.062

2

.164

.120

-.087

.414

3

-.150

.168

-.501

.201

4

-1.491

.243

-1.999

-.983

182

General Linear Model: FACTOR 3 Within-Subjects Factors Measure: MEASURE_1 factor 1

FAC3RUN

Dependent Variable

2

FAC3LFS

3

FAC3SSC

4

FAC3LS Between-Subjects Factors N

Sex

F

11

M

10 Descriptive Statistics

FAC3RU N

FAC3LFS

FAC3SSC

FAC3LS

Sex F

Mean

Std. Deviation

N

-.0205

.38569

11

M

-.2455

.45425

10

Total

-.1276

.42485

21

F

.6405

.73255

11

M

.2097

1.02727

10

Total

.4354

.88983

21

F

.0704

.57998

11

M

-.7982

1.04631

10

Total

-.3432

.92652

21

F

.4801

.92150

11

M

-.4537

1.71603

10

.0355

1.40645

21

Total

Multivariate Tests(c)

Effect factor

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.633

9.778(b)

3.000

17.000

.001

.633

29.335

.989

Wilks' Lambda

.367

9.778(b)

3.000

17.000

.001

.633

29.335

.989

1.726

9.778(b)

3.000

17.000

.001

.633

29.335

.989

1.726

9.778(b)

3.000

17.000

.001

.633

29.335

.989

.240

1.787(b)

3.000

17.000

.188

.240

5.361

.382

.760 Hotelling's .315 Trace Roy's Largest .315 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+Sex Within Subjects Design: factor

1.787(b)

3.000

17.000

.188

.240

5.361

.382

1.787(b)

3.000

17.000

.188

.240

5.361

.382

1.787(b)

3.000

17.000

.188

.240

5.361

.382

factor * Sex

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

183

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

Approx. ChiSquare

Mauchly's W

df

Sig.

Epsilon(a) GreenhouseGeisser

factor

.376

17.314

5

.004

Huynh-Feldt

.619

Lower-bound

.720

.333

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+Sex Within Subjects Design: factor Tests of Within-Subjects Effects Measure: MEASURE_1 Source factor

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

factor * Sex

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Error(factor)

Sphericity Assumed GreenhouseGeisser Huynh-Feldt Lower-bound

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

6.918

3

2.306

7.032

.000

.270

21.097

.973

6.918

1.858

3.724

7.032

.003

.270

13.063

.891

6.918

2.159

3.204

7.032

.002

.270

15.183

.924

6.918

1.000

6.918

7.032

.016

.270

7.032

.711

1.844

3

.615

1.874

.144

.090

5.622

.461

1.844

1.858

.992

1.874

.171

.090

3.481

.351

1.844

2.159

.854

1.874

.164

.090

4.046

.382

1.844

1.000

1.844

1.874

.187

.090

1.874

.255

18.691

57

.328

18.691

35.295

.530

18.691

41.021

.456

18.691

19.000

.984

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1

Source factor

factor Linear Quadratic

factor * Sex

Error(factor)

Type III Sum of Squares

Mean Square

df

.129

1

.129

F

Sig.

Partial Eta Squared

.221

.644

.011

Noncent. Parameter

Observed Power(a)

.221

.073

.172

1

.172

1.719

.205

.083

1.719

.238

Cubic

6.618

1

6.618

21.908

.000

.536

21.908

.993

Linear

1.722

1

1.722

2.959

.102

.135

2.959

.372

Quadratic

.026

1

.026

.260

.616

.013

.260

.077

Cubic

.096

1

.096

.317

.580

.016

.317

.083

Linear

11.056

19

.582

Quadratic

1.896

19

.100

Cubic

5.739

19

.302

a Computed using alpha = .05

184

Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Type III Sum of Squares

Source Intercept

df

.018

Sex Error

Mean Square

F

Sig.

Partial Eta Squared

Noncent. Parameter

.018

.007

.934

.000

.007

.051

7.913

1

7.913

3.150

.092

.142

3.150

.392

47.728

19

2.512

a Computed using alpha = .05

Estimated Marginal Means 1. Grand Mean Measure: MEASURE_1 Mean

Std. Error

95% Confidence Interval Lower Bound

-.015

.173

Upper Bound

-.377

.348

2. Sex Measure: MEASURE_1 Sex

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

F

.293

.239

-.207

.793

M

-.322

.251

-.846

.203

3. factor Measure: MEASURE_1 factor

Mean

1

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

-.325

.059

.193

.021

.830

.182

-.745

.017

.296

-.607

.634

-.133

.092

2

.425

3

-.364

4

.013

4. Sex * factor Measure: MEASURE_1 Sex

factor

Mean

Std. Error

95% Confidence Interval Lower Bound

F

M

Observed Power(a)

1

Upper Bound

1

-.020

.127

-.285

.244

2

.641

.267

.082

1.199

3

.070

.251

-.456

.597

4

.480

.409

-.376

1.337

1

-.245

.133

-.523

.032

2

.210

.280

-.376

.795

3

-.798

.264

-1.350

-.246

4

-.454

.429

-1.352

.445

185

General Linear Model: FACTOR 4 Within-Subjects Factors Measure: MEASURE_1 factor 1

FAC4RUN

Dependent Variable

2

FAC4LFS

3

FAC4SSC

4

FAC4LS Between-Subjects Factors N

Sex

F

11

M

10 Descriptive Statistics

FAC4RUN

FAC4LFS

FAC4SSC

FAC4LS

Std. Deviation

Sex F

Mean -.2677

.81951

N 11

M

-.3342

.59679

10

Total

-.2993

.70515

21

F

-.4830

.99889

11

M

-.5851

.60846

10

Total

-.5316

.81745

21

F

.4236

1.03026

11

M

.6856

1.02038

10

Total

.5484

1.00858

21

F

.1663

1.06980

11

M

.4106

1.14409

10

Total

.2826

1.08485

21 Multivariate Tests(c)

Effect factor

Value

F

Hypothesis df

Error df

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

Pillai's Trace

.641

10.118(b)

3.000

17.000

.000

.641

30.355

.991

Wilks' Lambda

.359

10.118(b)

3.000

17.000

.000

.641

30.355

.991

1.786

10.118(b)

3.000

17.000

.000

.641

30.355

.991

1.786

10.118(b)

3.000

17.000

.000

.641

30.355

.991

.049

.291(b)

3.000

17.000

.832

.049

.872

.095

.951 Hotelling's .051 Trace Roy's Largest .051 Root a Computed using alpha = .05 b Exact statistic c Design: Intercept+Sex Within Subjects Design: factor

.291(b)

3.000

17.000

.832

.049

.872

.095

.291(b)

3.000

17.000

.832

.049

.872

.095

.291(b)

3.000

17.000

.832

.049

.872

.095

factor * Sex

Hotelling's Trace Roy's Largest Root Pillai's Trace Wilks' Lambda

186

Mauchly's Test of Sphericity(b) Measure: MEASURE_1 Within Subjects Effect

factor

Approx. Chi-Square

Mauchly's W

.382

df

17.075

Sig.

5

Epsilon(a) GreenhouseGeisser

Huynh-Feldt

.666

.783

.004

Lower-bound .333

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix. a May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table. b Design: Intercept+Sex Within Subjects Design: factor Tests of Within-Subjects Effects Measure: MEASURE_1 Source factor

Type III Sum of Squares Sphericity Assumed GreenhouseGeisser Huynh-Feldt

16.060

factor * Sex

16.060 16.060

Sphericity Assumed GreenhouseGeisser Huynh-Feldt

.600

.600 25.655

.000

.385

35.682

.999

11.894

.000

.385

23.762

.991

6.834

11.894

.000

.385

27.950

.996

16.060

11.894

.003

.385

11.894

.905

.200

.445

.722

.023

1.334

.134

.301

.445

.644

.023

.888

.117

.256

.445

.675

.023

1.045

.123

.600

.445

.513

.023

.445

.097

5.353

11.894

8.039

57 37.9 58 44.6 49 19.0 00

25.655 25.655

Lower-bound

Noncent. Parameter

Sig.

3

.600

Sphericity Assumed GreenhouseGeisser Huynh-Feldt

Partial Eta Squared

F

1.99 8 2.35 0 1.00 0

.600

Lower-bound Error(factor)

3 1.99 8 2.35 0 1.00 0

16.060

Lower-bound

Mean Square

df

25.655

Observed Power(a)

.450 .676 .575 1.350

a Computed using alpha = .05 Tests of Within-Subjects Contrasts Measure: MEASURE_1 Source factor

factor Linear

Error(factor)

Mean Square

df

F

Sig.

Partial Eta Squared

Noncent. Parameter

Observed Power(a)

8.549

1

8.549

9.946

.005

.344

9.946

.849

.006

1

.006

.030

.865

.002

.030

.053

Cubic

7.505

1

7.505

25.061

.000

.569

25.061

.997

Linear

.440

1

.440

.512

.483

.026

.512

.104

Quadratic

.000

1

.000

.002

.963

.000

.002

.050

.534

.474

.027

.534

.107

Quadratic factor * Sex

Type III Sum of Squares

Cubic

.160

1

.160

Linear

16.331

19

.860

Quadratic

3.634

19

.191

Cubic

5.690

19

.299

a Computed using alpha = .05

187

Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Intercept

Type III Sum of Squares .000

Sex Error

df

Mean Square

1

Partial Eta Squared

Noncent. Parameter

F

Sig.

.000

.000

.990

.000

.000

.050

.070

.795

.004

.070

.057

.149

1

.149

40.786

19

2.147

a Computed using alpha = .05 Estimated Marginal Means 1. Grand Mean Measure: MEASURE_1 Mean

Std. Error

95% Confidence Interval Lower Bound

.002

.160

Upper Bound -.333

.337

2. Sex Measure: MEASURE_1 Sex

Mean

Std. Error

95% Confidence Interval Lower Bound

Upper Bound

F

-.040

.221

-.503

.422

M

.044

.232

-.441

.529

3. factor Measure: MEASURE_1 factor

Mean

Std. Error

95% Confidence Interval

1

-.301

.158

-.631

.030

2

-.534

.183

-.917

-.151

3

.555

.224

.086

1.024

4

.288

.242

-.217

.794

Lower Bound

Upper Bound

4. Sex * factor Measure: MEASURE_1 Sex

factor

Mean

Std. Error

95% Confidence Interval

F

1

-.268

.218

-.724

.188

2

-.483

.252

-1.011

.045

3

.424

.309

-.224

1.071

4

.166

.333

-.531

.864

1

-.334

.229

-.812

.144

2

-.585

.265

-1.139

-.031

3

.686

.324

.007

1.364

4

.411

.350

-.321

1.142

Lower Bound

M

Upper Bound

Observed Power(a)

188

12.000000000000

MHipABD

9.000000000000

6.000000000000

3.000000000000

0.000000000000

-3.000000000000 -2.000000000000

-1.000000000000

0.000000000000

1.000000000000

2.000000000000

3.000000000000

4.000000000000

MHipIR

2.000000000000

MKneADD

0.000000000000

-2.000000000000

-4.000000000000

-6.000000000000

-8.000000000000

-10.000000000000

0.000000000000

10.000000000000 20.000000000000 30.00000000000

HipABD

189

2.000000000000

0.000000000000

MHipADD

-2.000000000000

-4.000000000000

-6.000000000000

-8.000000000000

-10.000000000000

-12.000000000000 -10.000000000000

0.000000000000

10.000000000000

20.000000000000

30.000000000000

HipABD

0.000000000000

-5.000000000000

MHipEXT

-10.000000000000

-15.000000000000

-20.000000000000

-25.000000000000

-30.000000000000

30.000000000000

40.000000000000

HipFLX

50.000000000000

60.00000000000

190

20.00

FootAng

0.00

-20.00

-40.00

-20.000000000000

-10.000000000000

0.000000000000

10.000000000000

HipER

1.000000000000

0.800000000000

MKneIR

0.600000000000

0.400000000000

0.200000000000

0.000000000000

-0.200000000000

0.00

10.00

KneeIR

20.00

30.00

191 Tukey’s Honest Significant Difference Modified Formula: accounting for unequal n HSD = qT * sqrt((MSS/A/2) / 1/n1 + 1/n2)) qT = q 0.05, 4, 21 = 3.96 MSS/A = means square error from interaction for within subject effects n1 = 11, n2 = 10 α (Condition) q 0.05, 4, 21 Variable Kinematics KA_ABD 0.000 3.96 KA_IR 0.165 3.96 HA_ABD 0.000 3.96 0.000 3.96 HA_IR Kinetics KM_EXT 0.475 3.96 KM_ADD 0.000 3.96 KM_ER 0.251 3.96 HM_ADD 0.000 3.96 0.000 3.96 HM_ER Factor Scores FAC1 0.000 3.96 0.000 3.96 FAC2 FAC3 0.003 3.96 0.000 3.96 FAC4 Note: shaded areas indicate significance (p < 0.05)

MSS/A

MSS/A / 2

1/n1 + 1/n2

HSD

0.481 4.706 1.274 9.183

0.2405 2.353 0.637 4.5915

0.191 0.191 0.191 0.191

0.848 DNC 1.381 3.708

0.168 0.532 0.043 1.547 0.388

0.084 0.266 0.0215 0.7735 0.194

0.191 0.191 0.191 0.191 0.191

DNC 0.892 DNC 1.522 0.762

0.294 0.128 0.992 0.301

0.147 0.064 0.496 0.1505

0.191 0.191 0.191 0.191

0.663 0.437 1.218 0.671

Comparisons between group means Variable KA_ABD (0.848)

Condition 1 2 3 4

Mean 3.621 5.572 6.21 7.065

HA_ADD (1.381)

1 2 3 4

-7.255 7.858 5.664 16.624

HA_IR (3.708)

1 2 3 4

-4.15 -3.12 0.41 1.03

Comparison 1v2 1v3 1v4 2v3 2v4 3v4 1v2 1v3 1v4 2v3 2v4 3v4 1v2 1v3 1v4 2v3 2v4 3v4

ABS difference 1.951 2.589 3.444 0.638 1.493 0.855 15.113 12.919 23.879 2.194 8.766 10.96 1.03 4.56 5.18 3.53 4.15 0.62

192 Comparison of group means (continued) KM_ADD (0.892)

1 2 3 4

0.13 -1.16 -2.04 -3.93

1v2 1v3 1v4 2v3 2v4 3v4 HM_ADD 1 0.014 1v2 (1.522) 2 -1.778 1v3 3 -3.02 1v4 4 -6.079 2v3 2v4 3v4 HM_ER 1 0.16 1v2 (0.762) 2 -0.05 1v3 3 -0.56 1v4 4 -1.31 2v3 2v4 3v4 FAC1 1 0.306 1v2 (0.663) 2 0.247 1v3 3 -0.13 1v4 4 -0.421 2v3 2v4 3v4 FAC2 1 -1.083 1v2 (0.437) 2 -0.213 1v3 3 0.024 1v4 4 1.297 2v3 2v4 3v4 FAC3 1 0.133 1v2 (1.218) 2 -0.425 1v3 3 0.364 1v4 4 -0.013 2v3 2v4 3v4 FAC4 1 0.301 1v2 (0.671) 2 0.534 1v3 3 -0.555 1v4 4 -0.288 2v3 2v4 3v4 Note: shaded areas indicate significance (p < 0.05)

1.29 2.17 4.06 0.88 2.77 1.89 1.792 3.034 6.093 1.242 4.301 3.059 0.21 0.72 1.47 0.51 1.26 0.75 0.059 0.436 0.727 0.377 0.668 0.291 0.87 1.107 2.38 0.237 1.51 1.273 0.558 0.231 0.146 0.789 0.412 0.377 0.233 0.856 0.589 1.089 0.822 0.267

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