{"title":"Quantifying the impact of imbalanced groups in FIFA Women’s World Cup tournaments 1991–2019","authors":"Michael A. Lapré, Elizabeth M. Palazzolo","doi":"10.1515/jqas-2021-0052","DOIUrl":null,"url":null,"abstract":"Abstract The FIFA Women’s World Cup tournament consists of a group stage and a knockout stage. We identify several issues that create competitive imbalance in the group stage. We use match data from all Women’s World Cup tournaments from 1991 through 2019 to empirically assess competitive imbalance across groups in each World Cup. Using least squares, we determine ratings for all teams. For each team, we average the ratings of the opponents in the group to calculate group opponents rating. We find that the range in group opponents rating varies between 2.5 and 4.5 goals indicating substantial competitive imbalance. We use logistic regression to quantify the impact of imbalance on the probability of success in the Women’s World Cup. Specifically, our estimates show that one goal less in group opponents rating can increase the probability of reaching the quarterfinal by 33%. We discuss several policy recommendations to reduce competitive imbalance at the Women’s World Cup.","PeriodicalId":16925,"journal":{"name":"Journal of Quantitative Analysis in Sports","volume":"19 1","pages":"187 - 199"},"PeriodicalIF":1.1000,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Quantitative Analysis in Sports","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/jqas-2021-0052","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"SOCIAL SCIENCES, MATHEMATICAL METHODS","Score":null,"Total":0}
引用次数: 2
Abstract
Abstract The FIFA Women’s World Cup tournament consists of a group stage and a knockout stage. We identify several issues that create competitive imbalance in the group stage. We use match data from all Women’s World Cup tournaments from 1991 through 2019 to empirically assess competitive imbalance across groups in each World Cup. Using least squares, we determine ratings for all teams. For each team, we average the ratings of the opponents in the group to calculate group opponents rating. We find that the range in group opponents rating varies between 2.5 and 4.5 goals indicating substantial competitive imbalance. We use logistic regression to quantify the impact of imbalance on the probability of success in the Women’s World Cup. Specifically, our estimates show that one goal less in group opponents rating can increase the probability of reaching the quarterfinal by 33%. We discuss several policy recommendations to reduce competitive imbalance at the Women’s World Cup.
期刊介绍:
The Journal of Quantitative Analysis in Sports (JQAS), an official journal of the American Statistical Association, publishes timely, high-quality peer-reviewed research on the quantitative aspects of professional and amateur sports, including collegiate and Olympic competition. The scope of application reflects the increasing demand for novel methods to analyze and understand data in the growing field of sports analytics. Articles come from a wide variety of sports and diverse perspectives, and address topics such as game outcome models, measurement and evaluation of player performance, tournament structure, analysis of rules and adjudication, within-game strategy, analysis of sporting technologies, and player and team ranking methods. JQAS seeks to publish manuscripts that demonstrate original ways of approaching problems, develop cutting edge methods, and apply innovative thinking to solve difficult challenges in sports contexts. JQAS brings together researchers from various disciplines, including statistics, operations research, machine learning, scientific computing, econometrics, and sports management.