Statistical flaws of the fitness-fatigue sports performance prediction model

Abstract Optimizing athletic training programs with the support of predictive models is an active research topic, fuelled by a consistent data collection. The Fitness-Fatigue Model (FFM) is a pioneer for modelling responses to training on performance based on training load exclusively. It has been s...

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Main Authors: Alexandre Marchal, Othmène Benazieb, Yisakor Weldegebriel, Thibaut Méline, Frank Imbach
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-88153-7
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author Alexandre Marchal
Othmène Benazieb
Yisakor Weldegebriel
Thibaut Méline
Frank Imbach
author_facet Alexandre Marchal
Othmène Benazieb
Yisakor Weldegebriel
Thibaut Méline
Frank Imbach
author_sort Alexandre Marchal
collection DOAJ
description Abstract Optimizing athletic training programs with the support of predictive models is an active research topic, fuelled by a consistent data collection. The Fitness-Fatigue Model (FFM) is a pioneer for modelling responses to training on performance based on training load exclusively. It has been subject to several extensions and its methodology has been questioned. In this article, we leveraged a Bayesian framework involving biologically meaningful priors to diagnose the fit and predictive ability of the FFM. We used cross-validation to draw a clear distinction between goodness-of-fit and predictive ability. The FFM showed major statistical flaws. On the one hand, the model was ill-conditioned, and we illustrated the poor identifiability of fitness and fatigue parameters using Markov chains in the Bayesian framework. On the other hand, the model exhibited an overfitting pattern, as adding the fatigue-related parameters did not significantly improve the model’s predictive ability (p-value > 0.40). We confirmed these results with 2 independent datasets. Both results question the relevance of the fatigue part of the model formulation, hence the biological relevance of the fatigue component of the FFM. Modelling sport performance through biologically meaningful and interpretable models remains a statistical challenge.
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spelling doaj-art-b0487c71f0ab4ccbbee98e52bad2c7662025-02-02T12:19:54ZengNature PortfolioScientific Reports2045-23222025-01-0115111210.1038/s41598-025-88153-7Statistical flaws of the fitness-fatigue sports performance prediction modelAlexandre Marchal0Othmène Benazieb1Yisakor Weldegebriel2Thibaut Méline3Frank Imbach4SeenovateSeenovateSeenovateFédération Française des Sports de GlaceSeenovateAbstract Optimizing athletic training programs with the support of predictive models is an active research topic, fuelled by a consistent data collection. The Fitness-Fatigue Model (FFM) is a pioneer for modelling responses to training on performance based on training load exclusively. It has been subject to several extensions and its methodology has been questioned. In this article, we leveraged a Bayesian framework involving biologically meaningful priors to diagnose the fit and predictive ability of the FFM. We used cross-validation to draw a clear distinction between goodness-of-fit and predictive ability. The FFM showed major statistical flaws. On the one hand, the model was ill-conditioned, and we illustrated the poor identifiability of fitness and fatigue parameters using Markov chains in the Bayesian framework. On the other hand, the model exhibited an overfitting pattern, as adding the fatigue-related parameters did not significantly improve the model’s predictive ability (p-value > 0.40). We confirmed these results with 2 independent datasets. Both results question the relevance of the fatigue part of the model formulation, hence the biological relevance of the fatigue component of the FFM. Modelling sport performance through biologically meaningful and interpretable models remains a statistical challenge.https://doi.org/10.1038/s41598-025-88153-7Sport scienceBayesian statisticsCross-ValidationIll-conditioningOverfittingFitness-Fatigue Model
spellingShingle Alexandre Marchal
Othmène Benazieb
Yisakor Weldegebriel
Thibaut Méline
Frank Imbach
Statistical flaws of the fitness-fatigue sports performance prediction model
Scientific Reports
Sport science
Bayesian statistics
Cross-Validation
Ill-conditioning
Overfitting
Fitness-Fatigue Model
title Statistical flaws of the fitness-fatigue sports performance prediction model
title_full Statistical flaws of the fitness-fatigue sports performance prediction model
title_fullStr Statistical flaws of the fitness-fatigue sports performance prediction model
title_full_unstemmed Statistical flaws of the fitness-fatigue sports performance prediction model
title_short Statistical flaws of the fitness-fatigue sports performance prediction model
title_sort statistical flaws of the fitness fatigue sports performance prediction model
topic Sport science
Bayesian statistics
Cross-Validation
Ill-conditioning
Overfitting
Fitness-Fatigue Model
url https://doi.org/10.1038/s41598-025-88153-7
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