MATHEMATICAL MODEL OF ASSESSMENT OF QUALITATIVE CHANGES IN EXECUTION OF TEAM ACTIONS BASED ON THE WILCOXON T-TEST

Abstract

Volleyball has become one of the fastest, strongest and most exciting sports in our time. The game focuses on speed, power of attacks and productive long rallies, where competent defensive technique is important. The use of statistics in this sport plays a key role in objective analysis of various parameters of the game. Coaches use this data to identify players’ strengths and weaknesses and develop new training methods to improve various aspects of volleyball. The purpose of the study was to mathematically determine the result of performing certain actions during a certain period of time and to conclude the effectiveness of these actions reflected in the statistical data. In the interval between the two measurements, a special training volume was performed on the ”Serve” game action. According to the obtained results and their processing, with the use of the Wilcoxon T-test for connected samples, hypotheses were proposed and confirmed regarding two characteristics of the game action ”serve”: the number of serves aces and the number of errors. As a result, the hypothesis regarding the significant improvement in the number of servings aces as a result of the experiment and the null hypothesis regarding serving errors, that no significant changes occurred, were confirmed. Conclusions. Thanks to this study, we obtained a mechanism for evaluating changes within the studied mathematical model of the game. This evaluation criterion can be used to evaluate changes in other game qualities that will be used in the mathematical model. The issue of equal distribution depending on the strength of opponents and the selection of appropriate coefficients for conducting such studies remains problematic.