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Using Multilevel Models to Compare Performance Prediction and Characterization Abilities Between Power-Law and
Maxime Walt1, Arturo Casado2, Jean-Marie Le Goff1
1Faculty of Social and Political Sciences, Institute of Social Sciences, Life Course and Social Inequality Research Centre, University of Lausanne, Lausanne, Switzerland.
The power-law (PL) multilevel model (MLM) offers superior prediction accuracy for running performance compared to the critical-speed (CS) model. This study demonstrates the PL MLM
Area of Science:
- Sports Science
- Exercise Physiology
- Biomechanical Analysis
Background:
- Speed-duration relationships are crucial for predicting athletic performance and characterizing runners.
- The critical-speed (CS) and power-law (PL) models are commonly used by practitioners.
- A comparative analysis using multilevel models (MLMs) is needed to evaluate these models.
Purpose of the Study:
- To compare the performance prediction accuracy of the PL and CS models.
- To assess the athlete characterization capabilities of the PL and CS models.
- To utilize multilevel models (MLMs) for middle- and long-distance runners.
Main Methods:
- Analysis of 184,755 performances from 52,847 athletes across 6 running events (400m-10,000m).
- Development of MLMs accounting for the hierarchical data structure.
- Evaluation of prediction accuracy using mean absolute error (MAE) and mean absolute relative error (MARE).
- Athlete characterization via model-derived parameters: speed (S), endurance (E), anaerobic capacity (D'), and CS.
Main Results:
- The PL MLM demonstrated significantly higher prediction accuracy (MAREtime = 1.32%, MAREspeed = 1.32%) than the CS MLM (MAREtime = 6.87%, MAREspeed = 9.1%).
- Long-distance runners showed higher E and CS; middle-distance runners exhibited higher S.
- Specialization, gender, and performance level influenced model-derived parameters (S, E, D', CS).
Conclusions:
- MLMs provide enhanced understanding of speed-duration relationships across athlete clusters, gender, and performance levels.
- Model-derived parameters offer valuable insights for comprehensive athlete profiling.
- The PL MLM is identified as a reliable and accurate tool for predicting running performance.
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