This study analyzes the impact of psychological momentum (PM) on score fluctuations in male tennis players. t employs Principal Component Analysis (PCA) to create a Real-Time Momentum Evaluation Model, comprising three principal components: "Offense," "Stability," and "Defense." Meanwhile, changes in momentum are plotted to reflect player performance throughout the game. A Randomized Testing model is developed to assess momentum randomness. It reveals a significant correlation (96%) between maximum momentum scores and game winners. This study introduces a randomized permutation test, indicating that momentum is unlikely to be random, further supporting these findings. A Turning Point Prediction Model is introduced to forecast game fluctuations, defining turning points as instances where the momentum difference exceeds a threshold. By analyzing the importance ranking of determining factors, this study identifies the top three main influencing factors as the number of games played, break points won, and player scores.
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Xiu et al. (2024) studied this question.
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