TY - GEN

T1 - Consensus measures for preference rankings with ties: an approach based on position weighted Kemeny distance

AU - Plaia, Antonella

AU - Buscemi, Simona

AU - Sciandra, Mariangela

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/335949

UR - http://www.fedoabooks.unina.it/index.php/fedoapress/catalog/book/91

M3 - Conference contribution

SN - 978-88-6887-042-3

T3 - QUADERNI

SP - 171

EP - 178

BT - ASMOD 2018 Proceedings of the International Conference on Advances in Statistical Modelling of Ordinal Data

ER -