Application of the Generalized Thurstone Method for Evaluations of Sports Tournaments’ Results

Abstract

Due to the non-played matches on the grounds of COVID-19 pandemics, the usual evaluation of the results of tournaments is biased. Matches won by default may cause unrealistic results. In this paper, an expedient method, the generalization of Thurstone method for more than two options, is applied. It is able to evaluate the results of the played matches without requiring equal matches’ numbers. This method takes the strength of the opposer into consideration as well. We apply the method for evaluating Handball Champions’ League’s results. We illustrate that it efficiently predicts the results in the future.

Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups

“…( 2019 ) to sumo, (Csató 2021b ; Orbán-Mihálykó et al. 2022 ) to handball, (Csató 2017 ; Hankin 2020 ) to chess e.t.c. The main questions are ranking and rating, moreover the predicting capabilities are in the centre of the research.…”

“…Moreover, the method can be applied in sports: the results of matches can be considered as the results of paired comparisons. Recent publications have explored the application of the method to sports, see, for example (Bozóki et al 2016;Baker and McHale 2017) to tennis, (Arntzen and Hvattum 2021) to football, (Anderson 2014) to racing sports, Araki et al (2019) to sumo, (Csató 2021b;Orbán-Mihálykó et al 2022) to handball, (Csató 2017;Hankin 2020) to chess e.t.c. The main questions are ranking and rating, moreover the predicting capabilities are in the centre of the research.…”

Comparative Analysis of the Existence and Uniqueness Conditions of Parameter Estimation in Paired Comparison Models

“…They are mainly applied when scaling is very uncertain, but comparing the objects to the others can guarantee more reliable statistical data. The area of the possible applications is extremely large, and some examples are the followings: education [1,2], sports [3][4][5], information retrieval [6], energy supply [7], financial sector [8], management [9], and food industry [10].…”