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A Forward-Looking Approach to Compare Ranking Methods for Sports

by 1,†, 1,2,† and 3,4,5,*
Institute of Informatics, University of Szeged, 2 Árpád tér, H-6720 Szeged, Hungary
Department of Operations Research and Mathematical Economics, Institute of Informatics and Quantitative Economics, Poznań University of Economics and Business, 61-875 Poznań, Poland
InnoRenew CoE, Livade 6, 6310 Izola, Slovenia
Andrej Marušič Institute, University of Primorska, Muzejski trg 2, 6000 Koper, Slovenia
Department of Applied Informatics, University of Szeged, Boldogasszony sgt. 6, H-6725 Szeged, Hungary
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: Ágnes Vathy-Fogarassy and János Abonyi
Information 2022, 13(5), 232;
Received: 16 March 2022 / Revised: 22 April 2022 / Accepted: 27 April 2022 / Published: 3 May 2022
(This article belongs to the Special Issue Predictive Analytics and Data Science)
In this paper, we provide a simple forward-looking approach to compare rating methods with respect to their stability over time. Given a rating vector of entities involved in the comparison and a ranking indicated by the rating, the stability of the methods is measured by the change in rating vector and ranks of the entities over time from a forward-looking perspective. We investigate various linear algebraic rating methods and use the Euclidean distance and Kendall tau rank correlation to measure their stability in rating and ranking, respectively. The investigations are based on both rolling and expanding window approaches. We apply the methodology to sports as a widely known ranking and rating environment. The results suggest that PageRank and Massey rating methods provide better rating and ranking stability than simple methods, such as winning percentage, and more advanced ones, such as Colley’s least square and Keener’s eigenvector-based method. Finally, a simple way to examine the potential predictive power of the rating methods is also provided. View Full-Text
Keywords: rating; ranking; stability rating; ranking; stability
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MDPI and ACS Style

Ochieng, P.J.; London, A.; Krész, M. A Forward-Looking Approach to Compare Ranking Methods for Sports. Information 2022, 13, 232.

AMA Style

Ochieng PJ, London A, Krész M. A Forward-Looking Approach to Compare Ranking Methods for Sports. Information. 2022; 13(5):232.

Chicago/Turabian Style

Ochieng, Peter Juma, András London, and Miklós Krész. 2022. "A Forward-Looking Approach to Compare Ranking Methods for Sports" Information 13, no. 5: 232.

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