Evaluation of Goalkeepers’ Performance via Grey Relational Analysis Method: Example of Africa Cup of Nations

A. Y. Güngör
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Abstract

Aim: The aim of the study is to evaluate goalkeeper performances via the gray relational analysis method. Materials and Method: The sample of the study consisted of 21 goalkeepers competing in the African Cup of Nations (AFCON) 2023. Data was obtained from the official website of the Confederation of African Football and Transfermarkt. Performance indicators were determined as “save percentage”, “claimed crosses” and “passing accuracy”. The data were evaluated by the grey relational analysis method among the quantitative research methods. Results: In order to obtain the findings of the study, six steps of the grey relational analysis method were applied respectively. These are "preparation of the data set and generation of the decision matrix", "normalization of the data", "generation of the reference series", "generation of the absolute value table", "generation of the grey relational coefficient matrix", "calculation and ranking of the grey relational degrees". According to the analysis results, the highest performance value was calculated as 0,7654, while the lowest performance value was calculated as 0.3949. Conclusion: According to the results of the research, Ronwen Williams (South Africa), who won the Golden Glove Award and was selected for the team of the tournament at the Africa Cup of Nations, was determined as the goalkeeper with the highest performance.
通过灰色关系分析法评估守门员的表现:以非洲国家杯为例
目的:本研究旨在通过灰色关系分析方法评估守门员的表现。材料与方法:研究样本包括参加 2023 年非洲国家杯(AFCON)的 21 名门将。数据来自非洲足球联合会官方网站和《转会市场》(Transfermarkt)。性能指标确定为 "扑救成功率"、"获准传球数 "和 "传球准确率"。数据采用定量研究方法中的灰色关系分析法进行评估。研究结果为了获得研究结果,分别采用了灰色关系分析法的六个步骤。这六个步骤分别是 "数据集的准备和决策矩阵的生成"、"数据的规范化"、"参考数列的生成"、"绝对值表的生成"、"灰色关系系数矩阵的生成"、"灰色关系度的计算和排序"。根据分析结果,计算出的最高性能值为 0.7654,最低性能值为 0.3949。结论根据研究结果,获得金手套奖并入选非洲国家杯赛最佳阵容的朗文-威廉姆斯(南非)被确定为表现最高的门将。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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