Evaluating the capacity of paired comparison methods to aggregate rankings of separate groups
Éva Orbán-Mihálykó (),
Csaba Mihálykó () and
László Gyarmati ()
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Éva Orbán-Mihálykó: University of Pannonia
Csaba Mihálykó: University of Pannonia
László Gyarmati: University of Pannonia
Central European Journal of Operations Research, 2024, vol. 32, issue 1, No 8, 109-129
Abstract:
Abstract 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.
Keywords: Aggregation; AHP; Bradley–Terry model; Evaluation of sports tournaments; Maximum likelihood estimation; Paired comparison; Thurstone method; Weighted LLSM (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10100-023-00839-3
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