## 4 Validation of Clustering Results
### Intervention Strategy Customization
#### 4.2.1 Male Group  
Cluster 1 (Excellent Comprehensive Ability Group, 38.86%): This group of students demonstrates well-balanced physical fitness, with scores in all categories higher than those of other clusters. To maintain this advantage, the training program should emphasize diversity and scientific approaches, further enhancing strength, speed, endurance, and flexibility. For example, a combination of strength training (such as weighted squats, pull-ups), speed training (such as sprinting and shuttle runs), and endurance training (such as interval running and long-distance running) will promote overall fitness improvement. Additionally, incorporating fun challenges, such as physical competitions and team training activities, can stimulate student interest and motivation, ensuring the long-term maintenance of high fitness levels.  
Cluster 2 (Lower Limb Strength Weakness Group, 17.26%): Students in this cluster exhibit insufficient lower limb explosiveness and weak upper body strength, as evidenced  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Factor** & **Gradient Boosting** & **Random Forest** & **Decision Tree** & **Logistic Regression** \\ \hline Accuracy & 0.970895 & 0.963510 & 0.929626 & 0.994787 \\ \hline Precision & 0.970908 & 0.963591 & 0.929680 & 0.994784 \\ \hline Recall & 0.970895 & 0.963510 & 0.929626 & 0.994787 \\ \hline F1 Score & 0.970883 & 0.963462 & 0.929634 & 0.994784 \\ \hline \hline \end{tabular}
\end{table}
Table 6: Evaluation metrics of four models for validation in the female group.  
\begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Factor** & **Gradient Boosting** & **Random Forest** & **Decision Tree** & **Logistic Regression** \\ \hline Accuracy & 0.985929 & 0.979362 & 0.970919 & 0.996717 \\ \hline Precision & 0.985974 & 0.979385 & 0.970958 & 0.996720 \\ \hline Recall & 0.985929 & 0.979362 & 0.970919 & 0.996717 \\ \hline F1 Score & 0.985889 & 0.979315 & 0.970880 & 0.996717 \\ \hline \hline \end{tabular}
\end{table}
Table 5: Evaluation metrics of four models for validation in the male group.  
by low scores in standing long jump and pull-up events. Interventions for this group should focus on targeted training, such as lower limb explosiveness exercises (e.g., squat jumps, lunge jumps, box jumps) to enhance lower limb muscle explosiveness. Additionally, assisted pull-up training (e.g., resistance band-assisted pull-ups, weighted push-ups) should be incorporated to gradually improve upper body strength. Core strength training (e.g., planks, sit-ups) should also be included to enhance body stability and promote balanced physical development. Through consistent and focused training, the physical capabilities of this group can be effectively improved.  
Cluster 3 (Aerobic Endurance and Upper Limb Strength Weakness Group, 43.88%): This group shows relatively poor fitness performance, particularly in the 1000 m run and pull-up events, indicating deficiencies in endurance and upper body strength. The intervention for this group should primarily focus on aerobic endurance and basic strength training. For endurance training, methods such as jogging, interval running, and variable-speed running can be used, gradually increasing the duration and intensity of training to improve aerobic endurance. For strength training, pull-up assistance exercises (e.g., resistance band-assisted pull-ups, hanging exercises) and basic strength exercises (e.g., push-ups, burpees, core stability training) should be implemented to gradually increase upper body strength and overall basic strength. Regular goal setting and fitness progress evaluations should be conducted to motivate students, helping them gradually improve their fitness level.