Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods
In this study, the effectiveness and characteristics of three ranking methods were investigated based on their performance in ranking European football teams. The investigated methods were the Thurstone method with ties, the analytic hierarchy process with logarithmic least squares method, and the R...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/7/4556 |
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| author | László Gyarmati Éva Orbán-Mihálykó Csaba Mihálykó Ágnes Vathy-Fogarassy |
| author_facet | László Gyarmati Éva Orbán-Mihálykó Csaba Mihálykó Ágnes Vathy-Fogarassy |
| author_sort | László Gyarmati |
| collection | DOAJ |
| description | In this study, the effectiveness and characteristics of three ranking methods were investigated based on their performance in ranking European football teams. The investigated methods were the Thurstone method with ties, the analytic hierarchy process with logarithmic least squares method, and the RankNet neural network. The methods were analyzed in both complete and incomplete comparison tasks. The ranking based on complete comparison was performed on match results of national leagues, where each team had match results against all the other teams. In the incomplete comparison case, in addition to the national league results, only a few match results from international cups were available to determine the aggregated ranking of the teams playing in the top five European leagues. The rankings produced by the ranking methods were compared with each other, with the official national rankings, and with the UEFA club coefficient rankings. In addition, the correlation between the aggregated rankings and the Transfermarkt financial ranking was also examined for the sake of interest. |
| first_indexed | 2024-03-11T05:42:22Z |
| format | Article |
| id | doaj.art-e880d66082e14eb1b7b88c7bcf6a9008 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T05:42:22Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-e880d66082e14eb1b7b88c7bcf6a90082023-11-17T16:22:02ZengMDPI AGApplied Sciences2076-34172023-04-01137455610.3390/app13074556Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking MethodsLászló Gyarmati0Éva Orbán-Mihálykó1Csaba Mihálykó2Ágnes Vathy-Fogarassy3Department of Mathematics, University of Pannonia, Egyetem u. 10, 8200 Veszprém, HungaryDepartment of Mathematics, University of Pannonia, Egyetem u. 10, 8200 Veszprém, HungaryDepartment of Mathematics, University of Pannonia, Egyetem u. 10, 8200 Veszprém, HungaryDepartment of Computer Science and Systems Technology, University of Pannonia, Egyetem u. 10, 8200 Veszprém, HungaryIn this study, the effectiveness and characteristics of three ranking methods were investigated based on their performance in ranking European football teams. The investigated methods were the Thurstone method with ties, the analytic hierarchy process with logarithmic least squares method, and the RankNet neural network. The methods were analyzed in both complete and incomplete comparison tasks. The ranking based on complete comparison was performed on match results of national leagues, where each team had match results against all the other teams. In the incomplete comparison case, in addition to the national league results, only a few match results from international cups were available to determine the aggregated ranking of the teams playing in the top five European leagues. The rankings produced by the ranking methods were compared with each other, with the official national rankings, and with the UEFA club coefficient rankings. In addition, the correlation between the aggregated rankings and the Transfermarkt financial ranking was also examined for the sake of interest.https://www.mdpi.com/2076-3417/13/7/4556ranking aggregationanalytic hierarchy process (AHP)Thurstone methodRankNet neural networkevaluation of sports results |
| spellingShingle | László Gyarmati Éva Orbán-Mihálykó Csaba Mihálykó Ágnes Vathy-Fogarassy Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods Applied Sciences ranking aggregation analytic hierarchy process (AHP) Thurstone method RankNet neural network evaluation of sports results |
| title | Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods |
| title_full | Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods |
| title_fullStr | Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods |
| title_full_unstemmed | Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods |
| title_short | Aggregated Rankings of Top Leagues’ Football Teams: Application and Comparison of Different Ranking Methods |
| title_sort | aggregated rankings of top leagues football teams application and comparison of different ranking methods |
| topic | ranking aggregation analytic hierarchy process (AHP) Thurstone method RankNet neural network evaluation of sports results |
| url | https://www.mdpi.com/2076-3417/13/7/4556 |
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