DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 » 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.« less

Authors:
 [1];  [2]; ORCiD logo [3];  [4];  [2]
  1. Kyung Hee Univ., Gyeonggi (Korea). Dept. of Sports Medicine
  2. Brigham Young Univ., Provo, UT (United States). Dept. of Exercise Sciences
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  4. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 30 works
Citation information provided by
Web of Science

Save / Share:

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
  • DOI: 10.1016/j.jelekin.2010.04.005

Vertical reaction forces and kinematics of backward walking underwater
journal, February 2012


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
  • DOI: 10.1123/jab.2013-0147

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
  • DOI: 10.4085/1062-6050-48.2.02

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
  • DOI: 10.1002/art.21262

Intra-articular knee joint effusion induces quadriceps avoidance gait patterns
journal, March 2000


Gait study of patients with patellofemoral pain syndrome
journal, February 1997


On calculating with B-splines
journal, July 1972


Functional data analysis of knee joint kinematics in the vertical jump
journal, January 2006


A new method for estimating joint parameters from motion data
journal, January 2005


Changes in power curve shapes as an indicator of fatigue during dynamic contractions
journal, May 2010


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
  • DOI: 10.1016/j.jelekin.2011.11.012

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
  • DOI: 10.1123/jab.29.2.135

Preswing Knee Flexion Assistance Is Coupled With Hip Abduction in People With Stiff-Knee Gait After Stroke
journal, August 2010


Quadriceps strength is not related to gait impact loading in knee osteoarthritis
journal, August 2010


Functional Data Analysis
book, January 2005

  • Ramsay, J. O.; Silverman, B. W.
  • Springer Series in Statistics
  • DOI: 10.1007/b98888

On calculating with B-splines
journal, July 1972


Vertical reaction forces and kinematics of backward walking underwater
journal, February 2012


A new method for estimating joint parameters from motion data
journal, January 2005


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
  • DOI: 10.1016/j.jelekin.2010.04.005

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
  • DOI: 10.1016/j.jelekin.2011.11.012

Quadriceps strength is not related to gait impact loading in knee osteoarthritis
journal, August 2010


The influence of patellofemoral pain on lower limb loading during gait
journal, December 1999


Identification of individual walking patterns using time discrete and time continuous data sets
journal, April 2002


Functional data analysis of knee joint kinematics in the vertical jump
journal, January 2006


Induced Anterior Knee Pain Immediately Reduces Involuntary and Voluntary Quadriceps Activation
journal, January 2013


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
  • DOI: 10.1123/jab.29.2.135

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
  • DOI: 10.4085/1062-6050-48.2.02

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
  • DOI: 10.1111/sms.13445

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
  • DOI: 10.3390/jcm8050679

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
  • DOI: 10.3390/jcm8050679