Quantitative modelling of momentum in tennis based on factor analysis
DOI:
https://doi.org/10.62051/dwv3jt02Keywords:
momentum; quantitative model; factor analysis.Abstract
Tennis, with its playful and elegant nature, has perennially captivated individuals of all ages. Beyond being a mere game, it represents a clash of momentum. In modern sports, the term "momentum" is used to describe a player's drive and momentum during a game. In the tennis match, it can affect the player's rhythm of the match and the result, is the key factor to determine the result of the match. But the quantification of momentum has no definitive reference in sport. This study attempts to propose a model that can be used to quantify the momentum of tennis players based on factor analysis. In this paper, data from the men's singles match at Wimbledon was first taken and subjected to missing and outlier detection and processing to ensure the reliability of this data. Secondly, the paper selected all the indicators that may be related to a player's momentum for factor analysis. In this paper, the proportion of variance contribution is used as the weight of each factor to calculate the composite score as the quantitative value of momentum. The analysis and modelling process in this paper could provide new insights into the understanding and development of the sport of tennis, offering a perspective and direction to quantization. The results of the factor analysis may provide valuable perceptions for coaches and athletes to help them better understand the game situation and develop strategies for future games.
Downloads
References
[1] Goyal A, Simonoff J S. Hot Racquet or Not? An Exploration of Momentum in Grand Slam Tennis Matches [J]. arXiv e-prints, 2020: arXiv: 2009.05830.
[2] Peng R, Li Z. MLFEF: Machine Learning Fusion Model with Empirical Formula to Explore the Momentum in Competitive Sports [J]. arXiv preprint arXiv: 2402.12149, 2024.
[3] Lin J, Shao P, Zhang Q. Advancing Tennis Analytics: Comprehensive Modeling for Momentum Identification and Strategic Insights [J]. International Journal of Computer Science and Information Technology, 2024, 2 (1): 104 - 117. DOI: https://doi.org/10.62051/ijcsit.v2n1.12
[4] Watkins M W. Exploratory factor analysis: A guide to best practice [J]. Journal of black psychology, 2018, 44 (3): 219 - 246. DOI: https://doi.org/10.1177/0095798418771807
[5] Lu Qi. Research on Performance Evaluation of AEnergy Company Based on Factor Analysis [D]; Xi’an Shiyou University, 2023.
[6] Taylor J, Demick A. A multidimensional model of momentum in sports [J]. Journal of Applied Sport Psychology, 1994, 6 (1): 51 - 70. DOI: https://doi.org/10.1080/10413209408406465
[7] Bai Zhenta. An Analysis of the Physical Consumption of Players in Tennis Mens Singles Matches and the Indicators related to Match Outcomes [J]. Bulletin of Sport Science & Technology, 2022, 30 (6): 61 - 5.
[8] Page L. The momentum effect in competitions: field evidence from tennis matches[C]//Econometric Society Australasian Meeting. 2009.
[9] Shi Wenhao. Research on Financial Performance EValuation of C AutomobiIe Company based on lhctor analysjs method [D]; Xi’an Shiyou University, 2023.
[10] Geng Yuanyuan. Research on financial performance evaluation of Vanke based on factor analysis [D]; Hebei Agricultural University, 2021.
[11] Bühren C, Steinberg P J. The impact of psychological traits on performance in sequential tournaments: Evidence from a tennis field experiment [J]. Journal of Economic Psychology, 2019, 72: 12 - 29. DOI: https://doi.org/10.1016/j.joep.2018.12.010
[12] Morgulev E. Success breeds success: Physiological, psychological, and economic perspectives of momentum (hot hand) [J]. Asian Journal of Sport and Exercise Psychology, 2023. DOI: https://doi.org/10.1016/j.ajsep.2023.04.002
Downloads
Published
Conference Proceedings Volume
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.