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

Ranking and rating methods have outstanding significance in sports, mainly due to their capacity to predict results. In this paper we turn to their capacity to aggregate separate groups’ rankings based on a small piece of information. We investigate under which conditions two or more separate groups...

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Autores principales: Orbán-Mihálykó, Éva, Mihálykó, Csaba, Gyarmati, László
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9924872/
https://www.ncbi.nlm.nih.gov/pubmed/36817564
http://dx.doi.org/10.1007/s10100-023-00839-3
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author Orbán-Mihálykó, Éva
Mihálykó, Csaba
Gyarmati, László
author_facet Orbán-Mihálykó, Éva
Mihálykó, Csaba
Gyarmati, László
author_sort Orbán-Mihálykó, Éva
collection PubMed
description Ranking and rating methods have outstanding significance in sports, mainly due to their capacity to predict results. In this paper we turn to their capacity to aggregate separate groups’ rankings based on a small piece of information. We investigate under which conditions two or more separate groups can be trustworthily interwoven applying Thurstone motivated methods and an AHP based method. A theorem is proved which guarantees adequate unified ranking based on some links between the groups. We also analyse the robustness of the results.
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spelling pubmed-99248722023-02-14 Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups Orbán-Mihálykó, Éva Mihálykó, Csaba Gyarmati, László Cent Eur J Oper Res Article Ranking and rating methods have outstanding significance in sports, mainly due to their capacity to predict results. In this paper we turn to their capacity to aggregate separate groups’ rankings based on a small piece of information. We investigate under which conditions two or more separate groups can be trustworthily interwoven applying Thurstone motivated methods and an AHP based method. A theorem is proved which guarantees adequate unified ranking based on some links between the groups. We also analyse the robustness of the results. Springer Berlin Heidelberg 2023-02-12 /pmc/articles/PMC9924872/ /pubmed/36817564 http://dx.doi.org/10.1007/s10100-023-00839-3 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Orbán-Mihálykó, Éva
Mihálykó, Csaba
Gyarmati, László
Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
title Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
title_full Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
title_fullStr Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
title_full_unstemmed Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
title_short Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
title_sort evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9924872/
https://www.ncbi.nlm.nih.gov/pubmed/36817564
http://dx.doi.org/10.1007/s10100-023-00839-3
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