Statistical Analysis of Athlete Variability Applied to Biomechanical Analysis of Ski Jumping
Traditionally data processing in applied biomechanics has relied on descriptive approaches. Although these are effective exploratory techniques, they may not provide an understanding of the interaction between the variables that describe the event across repeated sampling. Factor analysis is a stati...
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Published in | International journal of sports science & coaching Vol. 8; no. 2; pp. 373 - 384 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
London, England
SAGE Publications
01.06.2013
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Subjects | |
Online Access | Get full text |
ISSN | 1747-9541 2048-397X |
DOI | 10.1260/1747-9541.8.2.373 |
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Abstract | Traditionally data processing in applied biomechanics has relied on descriptive approaches. Although these are effective exploratory techniques, they may not provide an understanding of the interaction between the variables that describe the event across repeated sampling. Factor analysis is a statistical process that allows the researcher to extend prediction beyond a univariate model to a structural equation in which dependent variables are processed against latent factors. The purpose of this investigation was to examine the application of factor analysis in the reduction of input variables to minimize inter-subject variance in structural equation modelling in biomechanics and specifically competitive ski jumping. Applying a systematic method of data processing, variables that lacked robustness were omitted; while variables that maintained homogeneity of variance across the mid-flight phase of the jump were selected. Based on this analytical approach, the final model is less influenced by confounding from the implicit variance that arises when using sequences of random variables (heteroscedasticity) within a set of predictor variables. Therefore, the final model is expected to maintain the characteristics of homoscedasticity and minimize stochastic effects. |
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AbstractList | Traditionally data processing in applied biomechanics has relied on descriptive approaches. Although these are effective exploratory techniques, they may not provide an understanding of the interaction between the variables that describe the event across repeated sampling. Factor analysis is a statistical process that allows the researcher to extend prediction beyond a univariate model to a structural equation in which dependent variables are processed against latent factors. The purpose of this investigation was to examine the application of factor analysis in the reduction of input variables to minimize inter-subject variance in structural equation modelling in biomechanics and specifically competitive ski jumping. Applying a systematic method of data processing, variables that lacked robustness were omitted; while variables that maintained homogeneity of variance across the mid-flight phase of the jump were selected. Based on this analytical approach, the final model is less influenced by confounding from the implicit variance that arises when using sequences of random variables (heteroscedasticity) within a set of predictor variables. Therefore, the final model is expected to maintain the characteristics of homoscedasticity and minimize stochastic effects. |
Author | Montelpare, William McPherson, Moira Puumala, Rodney |
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Cites_doi | 10.1207/s15327841mpee0101_4 10.1016/j.jbiomech.2004.10.004 10.1123/jab.11.2.224 10.1080/14763140701687560 |
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Keywords | Biomechanics Athlete Variability Factor Analysis Ski Jumping |
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References | Virmavirta, Isolehto, Komi, Brüggemann, Müller, Schwameder 2005; 38 James, Bates 1997; 1 Arndt, Brüggemann, Virmavirta, Komi 1995; 11 Schwameder 2008; 7 bibr5-1747-9541.8.2.373 Norman G.R. (bibr2-1747-9541.8.2.373) 1998 Puumala R. (bibr8-1747-9541.8.2.373) 1999; 943 Loehlin J.C. (bibr3-1747-9541.8.2.373) 1987 bibr9-1747-9541.8.2.373 Vaverka F. (bibr7-1747-9541.8.2.373) 1996 bibr10-1747-9541.8.2.373 Vaverka F. (bibr6-1747-9541.8.2.373) 1995 Tabachnick B. (bibr1-1747-9541.8.2.373) 2007 Schumacher R.E. (bibr4-1747-9541.8.2.373) 1996 bibr11-1747-9541.8.2.373 |
References_xml | – volume: 11 start-page: 224 year: 1995 end-page: 237 article-title: Techniques Used by Olympic Ski Jumpers in the Transition From Take-off to Early Flight publication-title: Journal of Applied Biomechanics – volume: 1 start-page: 55 issue: 1 year: 1997 end-page: 69 article-title: Experimental and Statistical Design Issues in Human Movement Research publication-title: Measurement in Physical Education and Exercise Science – volume: 38 start-page: 2157 year: 2005 end-page: 2163 article-title: Characteristics of the Early Flight Phase in the Olympic Ski Jumping Competition publication-title: Journal of Biomechanics – volume: 7 start-page: 114 issue: 1 year: 2008 end-page: 136 article-title: Biomechanics Research in Ski Jumping — 1991–2006 publication-title: Sports Biomechanics – ident: bibr5-1747-9541.8.2.373 doi: 10.1207/s15327841mpee0101_4 – ident: bibr10-1747-9541.8.2.373 doi: 10.1016/j.jbiomech.2004.10.004 – volume-title: PDQ Statistics, 2nd edn. year: 1998 ident: bibr2-1747-9541.8.2.373 – ident: bibr11-1747-9541.8.2.373 doi: 10.1123/jab.11.2.224 – volume-title: Using Multivariate Statistics, 5th edn. year: 2007 ident: bibr1-1747-9541.8.2.373 – start-page: 293 volume-title: Proceedings of the XIV ISBS Symposium year: 1996 ident: bibr7-1747-9541.8.2.373 – start-page: 269 volume-title: Proceedings of the 13th International Symposium of Biomechanics in Sports year: 1995 ident: bibr6-1747-9541.8.2.373 – volume: 943 volume-title: Ski Jumping Flight: A Kinematic Analysis of the Preparation for Landing Phase, Proceedings of the XVIIth Congress of the Int. Society of Biomechanics year: 1999 ident: bibr8-1747-9541.8.2.373 – ident: bibr9-1747-9541.8.2.373 doi: 10.1080/14763140701687560 – volume-title: Latent Variable Models: An Introduction to Factor, Path, and Structural Analysis year: 1987 ident: bibr3-1747-9541.8.2.373 – volume-title: A Beginner's Guide to Structural Equation Modelling year: 1996 ident: bibr4-1747-9541.8.2.373 |
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Title | Statistical Analysis of Athlete Variability Applied to Biomechanical Analysis of Ski Jumping |
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