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Bayesian modelling of elite sporting performance with large databases

Author

Listed:
  • Griffin Jim E.

    (Department of Statistical Science, University College London, London, UK)

  • Hinoveanu Laurenţiu C.

    (School of Sport and Exercise Sciences, University of Kent, Canterbury, UK)

  • Hopker James G.

    (School of Sport and Exercise Sciences, University of Kent, Canterbury, UK)

Abstract

The availability of large databases of athletic performances offers the opportunity to understand age-related performance progression and to benchmark individual performance against the World’s best. We build a flexible Bayesian model of individual performance progression whilst allowing for confounders, such as atmospheric conditions, and can be fitted using Markov chain Monte Carlo. We show how the model can be used to understand performance progression and the age of peak performance in both individuals and the population. We apply the model to both women and men in 100 m sprinting and weightlifting. In both disciplines, we find that age-related performance is skewed, that the average population performance trajectories of women and men are quite different, and that age of peak performance is substantially different between women and men. We also find that there is substantial variability in individual performance trajectories and the age of peak performance.

Suggested Citation

  • Griffin Jim E. & Hinoveanu Laurenţiu C. & Hopker James G., 2022. "Bayesian modelling of elite sporting performance with large databases," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 18(4), pages 253-268, December.
  • Handle: RePEc:bpj:jqsprt:v:18:y:2022:i:4:p:253-268:n:3
    DOI: 10.1515/jqas-2021-0112
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    References listed on IDEAS

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    1. Carlos M. Carvalho & Nicholas G. Polson & James G. Scott, 2010. "The horseshoe estimator for sparse signals," Biometrika, Biometrika Trust, vol. 97(2), pages 465-480.
    2. J E Griffin & K G Łatuszyński & M F J Steel, 2021. "In search of lost mixing time: adaptive Markov chain Monte Carlo schemes for Bayesian variable selection with very large p," Biometrika, Biometrika Trust, vol. 108(1), pages 53-69.
    3. Gao Zhenyu & Li Yixing & Wang Zhengxin, 2020. "Restoring the real world records in Men’s swimming without high-tech swimsuits," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 16(4), pages 291-300, December.
    4. Stephenson Alec G. & Tawn Jonathan A., 2013. "Determining the Best Track Performances of All Time Using a Conceptual Population Model for Athletics Records," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 9(1), pages 67-76, March.
    5. Brander James A. & Egan Edward J. & Yeung Louisa, 2014. "Estimating the effects of age on NHL player performance," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 10(2), pages 241-259, June.
    6. Gennaro Boccia & Paolo Moisè & Alberto Franceschi & Francesco Trova & Davide Panero & Antonio La Torre & Alberto Rainoldi & Federico Schena & Marco Cardinale, 2017. "Career Performance Trajectories in Track and Field Jumping Events from Youth to Senior Success: The Importance of Learning and Development," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-15, January.
    7. Santos-Fernandez Edgar & Wu Paul & Mengersen Kerrie L., 2019. "Bayesian statistics meets sports: a comprehensive review," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 15(4), pages 289-312, December.
    8. Eduardo Ley & Mark F.J. Steel, 2009. "On the effect of prior assumptions in Bayesian model averaging with applications to growth regression This article was published online on 30 March 2009. An error was subsequently identified. This not," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 651-674.
    9. Egidi Leonardo & Gabry Jonah, 2018. "Bayesian hierarchical models for predicting individual performance in soccer," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 14(3), pages 143-157, September.
    10. Strand Matthew & Nelson Daniel & Grunwald Gary, 2018. "Modeling between-subject differences and within-subject changes for long distance runners by age," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 14(2), pages 81-90, June.
    11. Oliver G. Stevenson & Brendon J. Brewer, 2021. "Finding your feet: A Gaussian process model for estimating the abilities of batsmen in test cricket," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 70(2), pages 481-506, March.
    12. Wimmer Valentin & Fenske Nora & Pyrka Patricia & Fahrmeir Ludwig, 2011. "Exploring Competition Performance in Decathlon Using Semi-Parametric Latent Variable Models," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 7(4), pages 1-21, October.
    13. Kovalchik Stephanie Ann & Stefani Ray, 2013. "Longitudinal analyses of Olympic athletics and swimming events find no gender gap in performance improvement," Journal of Quantitative Analysis in Sports, De Gruyter, vol. 9(1), pages 15-24, March.
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