Are Countermovement Jump Variables Indicators of Injury Risk in Professional Soccer Players? A Machine Learning Approach
Abstract
1. Introduction
2. Materials and Methods
2.1. Design
2.2. Sample
2.3. Ethical Considerations
2.4. Procedures
2.4.1. Instruments
2.4.2. Countermovement Jump (CMJ)
2.4.3. Injury Monitoring
2.5. Statistical Analysis
2.6. Machine Learning Analysis
3. Results
4. Discussion
4.1. Asymmetry as a Sex-Invariant Marker and Its Link to Injury Status
4.2. Sex Effects and Sex × Injury Interactions in Power Metrics
4.3. Machine Learning for Injury Risk: Feature Relevance, Predictive Performance, and Interpretability
4.4. Limitations and Future Directions
4.5. Practical Applications
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
| CMJ | Countermovement Jump |
| RFD | Rate of Force Development |
| KNN | K-Nearest Neighbors |
| RF | Random Forest |
| DT | Decision Tree |
| LR | Logistic Regression |
| GB | Gradient Boosting |
| NNF | Neural Network Feedforward |
| SHAP | SHapley Additive exPlanations |
| AUC | Area Under the Curve |
| SD | Standard Deviation |
| ANOVA | Analysis of Variance |
| η2p | Partial Eta-Squared |
| SP | Specificity |
| SE | Sensitivity |
| PASCO | Portable Force Platform Brand (PASCO® PS-2141) |
| MATLAB | Matrix Laboratory (MathWorks, Natick, MA, USA) |
| JASP | Jeffreys’s Amazing Statistics Program (v. 0.17.3, Amsterdam, The Netherlands) |
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| Model | Main Tuned Hyperparameters | Grid Values Tested | Notes |
|---|---|---|---|
| K-Nearest Neighbors | kmax (number of neighbors), distance (metric), kernel (weighting function) | kmax = 3–15 (odd numbers); distance = {1, 2}; kernel = {“rectangular”, “gaussian”} | Euclidean (2) and Manhattan (1) distances compared. |
| Decision Tree | cp (complexity parameter, pruning depth) | 10 automatically generated cp values (tuneLength = 10) | Standard CART minimizing impurity. |
| Random Forest | mtry (variables per split), ntree (number of trees) | mtry = 1–11; ntree = {50, 100, 200} | Custom RF wrapper used |
| Artificial Neural Network | size (hidden units), decay (L2 regularization), maxit (iterations) | size = 2–14; decay = {0, 0.1, 0.5}; maxit = 200 | Single hidden-layer feedforward neural network. |
| Logistic Regression | family (binomial), link function, maxit (iterations) | family = binomial(link = “logit”); maxit = 50 | Standard logistic regression model. |
| Gradient Boosting | interaction.depth, n.trees, shrinkage, n.minobsinnode | interaction.depth = 2–8; n.trees = {50, 100, 200}; shrinkage = {0.1, 0.01, 0.001}; n.minobsinnode = {2, 4, 6} | Uses stochastic gradient boosting with bag fraction = 0.7. |
| No Injury | Injury | ANOVA | ||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Female | Male | Female | Male | Sex | Injury | Interaction | ||||||||
| Variables | M | ±SD | M | ±SD | M | ±SD | M | ±SD | p | ηp2 | p | ηp2 | p | ηp2 |
| Age (years) | 22.3 | 4.9 | 21.9 | 1.4 | 23.8 | 5.4 | 21.3 | 1.3 | 0.038 | 0.039 | 0.526 | 0.004 | 0.105 | 0.024 |
| Body mass (kg) | 59.3 | 6.6 | 72.3 | 5.5 | 58.6 | 6.2 | 68.6 | 7.1 | <0.001 | 0.450 | 0.065 | 0.031 | 0.227 | 0.013 |
| Minutes (min) | 1.391 | 505 | 902 | 706 | 1.15 | 466 | 1.10 | 801 | 0.032 | 0.041 | 0.898 | <0.001 | 0.081 | 0.027 |
| Jump height (cm) | 28.5 | 3.4 | 39.2 | 5.2 | 27.2 | 3.1 | 39.6 | 4.0 | <0.001 | 0.665 | 0.566 | 0.003 | 0.285 | 0.010 |
| Peak Force (N/kg) | 23.4 | 1.5 | 25.8 | 2.3 | 23.4 | 1.6 | 26.1 | 1.7 | <0.001 | 0.320 | 0.749 | <0.001 | 0.662 | 0.002 |
| Right peak force (N/kg) | 23.8 | 2.8 | 26.0 | 2.5 | 23.9 | 2.0 | 26.2 | 2.2 | <0.001 | 0.187 | 0.720 | 0.001 | 0.992 | <0.001 |
| Left peak force (N/kg) | 23.1 | 1.7 | 25.5 | 3.1 | 22.9 | 1.9 | 26.2 | 1.9 | <0.001 | 0.280 | 0.583 | 0.003 | 0.306 | 0.010 |
| Asymmetry peak force (%) | 11.7 | 8.1 | 10.2 | 7.8 | 9.0 | 6.8 | 6.6 | 4.6 | 0.142 | 0.020 | 0.017 | 0.051 | 0.707 | 0.001 |
| Peak power (W/kg) | 41.8 | 3.6 | 56.0 | 6.7 | 39.5 | 4.7 | 58.4 | 5.2 | <0.001 | 0.706 | 0.956 | <0.001 | 0.023 | 0.046 |
| Right peak power (W/kg) | 43.2 | 9.9 | 58.1 | 8.8 | 42.6 | 8.7 | 59.1 | 7.5 | <0.001 | 0.451 | 0.896 | <0.001 | 0.647 | 0.002 |
| Left peak power (W/kg) | 41.6 | 9.3 | 54.6 | 13.3 | 37.3 | 7.6 | 59.2 | 11.3 | <0.001 | 0.392 | 0.963 | <0.001 | 0.033 | 0.041 |
| Asymmetry Peak power (%) | 32.7 | 21.8 | 25.7 | 20.9 | 27.3 | 22.7 | 20.9 | 18 | 0.089 | 0.026 | 0.197 | 0.015 | 0.927 | <0.001 |
| Peak RFD (N/s) | 9355 | 3595 | 13,258 | 5382 | 10,195 | 3444 | 13,586 | 6424 | <0.001 | 0.116 | 0.544 | 0.003 | 0.790 | <0.001 |
| Algorithms | Accuracy | LL 95% | UL 95% | SE | SP | AUC |
|---|---|---|---|---|---|---|
| Logistic Regression | 60% | 42% | 77% | 87% | 35% | 0.5 |
| K-Nearest Neighbors | 87% | 71% | 96% | 81% | 96% | 0.87 |
| Decision Tree | 48% | 30% | 66% | 43% | 52% | 0.48 |
| Random Forest | 75% | 57% | 88% | 62% | 88% | 0.81 |
| Gradient Boosting | 84% | 68% | 94% | 75% | 94% | 0.90 |
| Neural Network | 78% | 61% | 91% | 93% | 64% | 0.84 |
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Pérez-Contreras, J.; Villaseca-Vicuña, R.; Loro-Ferrer, J.F.; Inostroza-Ríos, F.; Brito, C.J.; Cerda-Kohler, H.; Bustamante-Garrido, A.; Muñoz-Hinrichsen, F.; Hermosilla-Palma, F.; Ulloa-Díaz, D.; et al. Are Countermovement Jump Variables Indicators of Injury Risk in Professional Soccer Players? A Machine Learning Approach. Appl. Sci. 2025, 15, 12721. https://doi.org/10.3390/app152312721
Pérez-Contreras J, Villaseca-Vicuña R, Loro-Ferrer JF, Inostroza-Ríos F, Brito CJ, Cerda-Kohler H, Bustamante-Garrido A, Muñoz-Hinrichsen F, Hermosilla-Palma F, Ulloa-Díaz D, et al. Are Countermovement Jump Variables Indicators of Injury Risk in Professional Soccer Players? A Machine Learning Approach. Applied Sciences. 2025; 15(23):12721. https://doi.org/10.3390/app152312721
Chicago/Turabian StylePérez-Contreras, Jorge, Rodrigo Villaseca-Vicuña, Juan Francisco Loro-Ferrer, Felipe Inostroza-Ríos, Ciro José Brito, Hugo Cerda-Kohler, Alejandro Bustamante-Garrido, Fernando Muñoz-Hinrichsen, Felipe Hermosilla-Palma, David Ulloa-Díaz, and et al. 2025. "Are Countermovement Jump Variables Indicators of Injury Risk in Professional Soccer Players? A Machine Learning Approach" Applied Sciences 15, no. 23: 12721. https://doi.org/10.3390/app152312721
APA StylePérez-Contreras, J., Villaseca-Vicuña, R., Loro-Ferrer, J. F., Inostroza-Ríos, F., Brito, C. J., Cerda-Kohler, H., Bustamante-Garrido, A., Muñoz-Hinrichsen, F., Hermosilla-Palma, F., Ulloa-Díaz, D., Merino-Muñoz, P., & Aedo-Muñoz, E. (2025). Are Countermovement Jump Variables Indicators of Injury Risk in Professional Soccer Players? A Machine Learning Approach. Applied Sciences, 15(23), 12721. https://doi.org/10.3390/app152312721

