Consensus measures for preference rankings with ties: an approach based on position weighted Kemeny distance

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Preference data are a particular type of ranking data where some subjects (voters, judges, ...) give their preferences over a set of alternatives (items). It happens, in most of the real cases, that some items receive the same preference by a judge, giving raise to a ranking with ties. The purpose of our paper is to investigate on the consensus between rankings with ties taking into account the importance of swapping elements belonging to thetop (or to the bottom) of the ordering (position weights). Combining the structure of the Taux proposed by Emond and Mason and the class of weighted Kemeny-Snell distances, we propose a position weighted rank correlation coefficient to compare rankings with ties. The one-to-one correspondence between the weighted distance and the rank correlation coefficient holds, analytically speaking, using both equal and decreasing weights.
Original languageEnglish
Title of host publicationASMOD 2018 Proceedings of the International Conference on Advances in Statistical Modelling of Ordinal Data
Pages171-178
Number of pages8
Publication statusPublished - 2018

Publication series

NameQUADERNI

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