Exploring Competition Performance in Decathlon Using Semi-Parametric Latent Variable Models

Wimmer Valentin, Fenske Nora, Pyrka Patricia and Fahrmeir Ludwig
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Wimmer Valentin: Technische Universität München
Fenske Nora: Ludwig-Maximilians-Universität München
Pyrka Patricia: Technische Universität München
Fahrmeir Ludwig: Ludwig-Maximilians-Universität München

Journal of Quantitative Analysis in Sports, 2011, vol. 7, issue 4, 21

Abstract: In this paper, we explore competition performance in decathlon based on competition, training and personal data. Our data set comprises 3103 competition results from the decathlon world's best performance lists from 1998 to 2009. The aim of our analysis is to estimate latent factors describing the performance results and--at the same time--to model effects of age, season, and year of the competition on the results. Thus, we apply a new statistical method, semi-parametric latent variable models (LVMs), which can be seen as a synthesis between classical factor analysis and semi-parametric regression. LVMs are especially well-suited for modeling decathlon data, because (i) they permit the assumption of latent factors and therefore take the correlation structure between the ten performance results into account, and (ii) they enable us to model (potentially non-linear) relationships between response variables and covariates--contrary to classical factor analysis. In our analysis, we apply LVMs with a semi-parametric predictor allowing for non-linear covariate effects on the latent factors. Thereby, we obtain well interpretable results: four latent factors standing for sprint, jumping, throwing, and endurance abilities, as well as interesting non-linear effects of age and season on these latent factors. We also compare our results from LVMs to those obtained from classical factor analysis.

Keywords: latent variable model; factor analysis; semi-parametric regression; track & field (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (5)

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DOI: 10.2202/1559-0410.1307

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