Functional vs. Traditional Analysis in Biomechanical Gait Data: An Alternative Statistical Approach
Abstract
In human motion studies, discrete points such as peak or average kinematic values are commonly selected to test hypotheses. The purpose of this study was to describe a functional data analysis and describe the advantages of using functional data analyses when compared with a traditional analysis of variance (ANOVA) approach. Nineteen healthy participants (age: 22 ± 2 yrs, body height: 1.7 ± 0.1 m, body mass: 73 ± 16 kg) walked under two different conditions: control and pain+effusion. Pain+effusion was induced by injection of sterile saline into the joint capsule and hypertonic saline into the infrapatellar fat pad. Sagittal-plane ankle, knee, and hip joint kinematics were recorded and compared following injections using 2×2 mixed model ANOVAs and FANOVAs. The results of ANOVAs detected a condition × time interaction for the peak ankle (F1,18 = 8.56, p = 0.01) and hip joint angle (F1,18 = 5.77, p = 0.03), but did not for the knee joint angle (F1,18 = 0.36, p = 0.56). The functional data analysis, however, found several differences at initial contact (ankle and knee joint), in the mid-stance (each joint) and at toe off (ankle). Although a traditional ANOVA is often appropriate for discrete or summary data, inmore »
- Authors:
-
- Kyung Hee Univ., Gyeonggi (Korea). Dept. of Sports Medicine
- Brigham Young Univ., Provo, UT (United States). Dept. of Exercise Sciences
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Brigham Young Univ., Provo, UT (United States). Dept. of Statistics
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1441331
- Report Number(s):
- LA-UR-18-20243
Journal ID: ISSN 1899-7562
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Human Kinetics
- Additional Journal Information:
- Journal Volume: 60; Journal Issue: 1; Journal ID: ISSN 1899-7562
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 59 BASIC BIOLOGICAL SCIENCES; 97 MATHEMATICS AND COMPUTING; functional data analysis; statistics; joint kinematics
Citation Formats
Park, Jihong, Seeley, Matthew K., Francom, Devin, Reese, C. Shane, and Hopkins, J. Ty. Functional vs. Traditional Analysis in Biomechanical Gait Data: An Alternative Statistical Approach. United States: N. p., 2017.
Web. doi:10.1515/hukin-2017-0114.
Park, Jihong, Seeley, Matthew K., Francom, Devin, Reese, C. Shane, & Hopkins, J. Ty. Functional vs. Traditional Analysis in Biomechanical Gait Data: An Alternative Statistical Approach. United States. https://doi.org/10.1515/hukin-2017-0114
Park, Jihong, Seeley, Matthew K., Francom, Devin, Reese, C. Shane, and Hopkins, J. Ty. Thu .
"Functional vs. Traditional Analysis in Biomechanical Gait Data: An Alternative Statistical Approach". United States. https://doi.org/10.1515/hukin-2017-0114. https://www.osti.gov/servlets/purl/1441331.
@article{osti_1441331,
title = {Functional vs. Traditional Analysis in Biomechanical Gait Data: An Alternative Statistical Approach},
author = {Park, Jihong and Seeley, Matthew K. and Francom, Devin and Reese, C. Shane and Hopkins, J. Ty},
abstractNote = {In human motion studies, discrete points such as peak or average kinematic values are commonly selected to test hypotheses. The purpose of this study was to describe a functional data analysis and describe the advantages of using functional data analyses when compared with a traditional analysis of variance (ANOVA) approach. Nineteen healthy participants (age: 22 ± 2 yrs, body height: 1.7 ± 0.1 m, body mass: 73 ± 16 kg) walked under two different conditions: control and pain+effusion. Pain+effusion was induced by injection of sterile saline into the joint capsule and hypertonic saline into the infrapatellar fat pad. Sagittal-plane ankle, knee, and hip joint kinematics were recorded and compared following injections using 2×2 mixed model ANOVAs and FANOVAs. The results of ANOVAs detected a condition × time interaction for the peak ankle (F1,18 = 8.56, p = 0.01) and hip joint angle (F1,18 = 5.77, p = 0.03), but did not for the knee joint angle (F1,18 = 0.36, p = 0.56). The functional data analysis, however, found several differences at initial contact (ankle and knee joint), in the mid-stance (each joint) and at toe off (ankle). Although a traditional ANOVA is often appropriate for discrete or summary data, in biomechanical applications, the functional data analysis could be a beneficial alternative. Thus when using the functional data analysis approach, a researcher can (1) evaluate the entire data as a function, and (2) detect the location and magnitude of differences within the evaluated function.},
doi = {10.1515/hukin-2017-0114},
journal = {Journal of Human Kinetics},
number = 1,
volume = 60,
place = {United States},
year = {Thu Dec 28 00:00:00 EST 2017},
month = {Thu Dec 28 00:00:00 EST 2017}
}
Web of Science
Works referenced in this record:
Trunk and hip muscle activity in early walkers with and without cerebral palsy – A frequency analysis
journal, October 2010
- Prosser, Laura A.; Lee, Samuel C. K.; Barbe, Mary F.
- Journal of Electromyography and Kinesiology, Vol. 20, Issue 5
Vertical reaction forces and kinematics of backward walking underwater
journal, February 2012
- Carneiro, Leticia Calado; Michaelsen, Stella Maris; Roesler, Helio
- Gait & Posture, Vol. 35, Issue 2
Functional Data Analyses for the Assessment of Joint Power Profiles During Gait of Stroke Subjects
journal, April 2014
- Andrade, André G. P.; Polese, Janaine C.; Paolucci, Leopoldo A.
- Journal of Applied Biomechanics, Vol. 30, Issue 2
A Novel Experimental Knee-Pain Model Affects Perceived Pain and Movement Biomechanics
journal, May 2013
- Seeley, Matthew K.; Park, Jihong; King, Daniel
- Journal of Athletic Training, Vol. 48, Issue 3
Secondary gait changes in patients with medial compartment knee osteoarthritis: Increased load at the ankle, knee, and hip during walking
journal, January 2005
- Mündermann, Annegret; Dyrby, Chris O.; Andriacchi, Thomas P.
- Arthritis & Rheumatism, Vol. 52, Issue 9
Intra-articular knee joint effusion induces quadriceps avoidance gait patterns
journal, March 2000
- Torry, Michael R.; Decker, Michael J.; Viola, Randall W.
- Clinical Biomechanics, Vol. 15, Issue 3
Gait study of patients with patellofemoral pain syndrome
journal, February 1997
- Nadeau, Sylvie; Gravel, Denis; Hébert, Luc J.
- Gait & Posture, Vol. 5, Issue 1
On calculating with B-splines
journal, July 1972
- de Boor, Carl
- Journal of Approximation Theory, Vol. 6, Issue 1
Functional data analysis of knee joint kinematics in the vertical jump
journal, January 2006
- Ryan, Willie; Harrison, Andrew; Hayes, Kevin
- Sports Biomechanics, Vol. 5, Issue 1
A new method for estimating joint parameters from motion data
journal, January 2005
- Schwartz, Michael H.; Rozumalski, Adam
- Journal of Biomechanics, Vol. 38, Issue 1
Changes in power curve shapes as an indicator of fatigue during dynamic contractions
journal, May 2010
- Mallor, Fermin; Leon, Teresa; Gaston, Martin
- Journal of Biomechanics, Vol. 43, Issue 8
Alterations in evertor/invertor muscle activation and center of pressure trajectory in participants with functional ankle instability
journal, April 2012
- Ty Hopkins, J.; Coglianese, Mark; Glasgow, Philip
- Journal of Electromyography and Kinesiology, Vol. 22, Issue 2
A Functional PCA Model for the Study of Time Series of Pressure Maps
journal, April 2013
- Chicote, Juan C.; Durá, Juan V.; Belda, Juan M.
- Journal of Applied Biomechanics, Vol. 29, Issue 2
Preswing Knee Flexion Assistance Is Coupled With Hip Abduction in People With Stiff-Knee Gait After Stroke
journal, August 2010
- Sulzer, James S.; Gordon, Keith E.; Dhaher, Yasin Y.
- Stroke, Vol. 41, Issue 8
Quadriceps strength is not related to gait impact loading in knee osteoarthritis
journal, August 2010
- Hunt, Michael A.; Hinman, Rana S.; Metcalf, Ben R.
- The Knee, Vol. 17, Issue 4
Functional Data Analysis
book, January 2005
- Ramsay, J. O.; Silverman, B. W.
- Springer Series in Statistics
On calculating with B-splines
journal, July 1972
- de Boor, Carl
- Journal of Approximation Theory, Vol. 6, Issue 1
Vertical reaction forces and kinematics of backward walking underwater
journal, February 2012
- Carneiro, Leticia Calado; Michaelsen, Stella Maris; Roesler, Helio
- Gait & Posture, Vol. 35, Issue 2
A new method for estimating joint parameters from motion data
journal, January 2005
- Schwartz, Michael H.; Rozumalski, Adam
- Journal of Biomechanics, Vol. 38, Issue 1
Trunk and hip muscle activity in early walkers with and without cerebral palsy – A frequency analysis
journal, October 2010
- Prosser, Laura A.; Lee, Samuel C. K.; Barbe, Mary F.
- Journal of Electromyography and Kinesiology, Vol. 20, Issue 5
Alterations in evertor/invertor muscle activation and center of pressure trajectory in participants with functional ankle instability
journal, April 2012
- Ty Hopkins, J.; Coglianese, Mark; Glasgow, Philip
- Journal of Electromyography and Kinesiology, Vol. 22, Issue 2
Quadriceps strength is not related to gait impact loading in knee osteoarthritis
journal, August 2010
- Hunt, Michael A.; Hinman, Rana S.; Metcalf, Ben R.
- The Knee, Vol. 17, Issue 4
The influence of patellofemoral pain on lower limb loading during gait
journal, December 1999
- Powers, Christopher M.; Heino, Jacklyn G.; Rao, Sreesha
- Clinical Biomechanics, Vol. 14, Issue 10
Identification of individual walking patterns using time discrete and time continuous data sets
journal, April 2002
- Schöllhorn, W. I.; Nigg, B. M.; Stefanyshyn, D. J.
- Gait & Posture, Vol. 15, Issue 2
Functional data analysis of knee joint kinematics in the vertical jump
journal, January 2006
- Ryan, Willie; Harrison, Andrew; Hayes, Kevin
- Sports Biomechanics, Vol. 5, Issue 1
Induced Anterior Knee Pain Immediately Reduces Involuntary and Voluntary Quadriceps Activation
journal, January 2013
- Park, Jihong; Hopkins, J. Ty
- Clinical Journal of Sport Medicine, Vol. 23, Issue 1
A Functional PCA Model for the Study of Time Series of Pressure Maps
journal, April 2013
- Chicote, Juan C.; Durá, Juan V.; Belda, Juan M.
- Journal of Applied Biomechanics, Vol. 29, Issue 2
A Novel Experimental Knee-Pain Model Affects Perceived Pain and Movement Biomechanics
journal, May 2013
- Seeley, Matthew K.; Park, Jihong; King, Daniel
- Journal of Athletic Training, Vol. 48, Issue 3
Works referencing / citing this record:
Altered movement strategies during jump landing/cutting in patients with chronic ankle instability
journal, May 2019
- Kim, Hyunsoo; Son, Seong Jun; Seeley, Matthew Kirk
- Scandinavian Journal of Medicine & Science in Sports
Clinical and Gait Parameters Related to Pelvic Retraction in Patients with Spastic Hemiplegia
journal, May 2019
- Park, Kun-Bo; Park, Hoon; Park, Byoung Kyu
- Journal of Clinical Medicine, Vol. 8, Issue 5
Clinical and Gait Parameters Related to Pelvic Retraction in Patients with Spastic Hemiplegia
journal, May 2019
- Park, Kun-Bo; Park, Hoon; Park, Byoung Kyu
- Journal of Clinical Medicine, Vol. 8, Issue 5