English

Davidson-Luce model for multi-item choice with ties

Methodology 2019-09-17 v1

Abstract

This paper introduces a natural extension of the pair-comparison-with-ties model of Davidson (1970, J. Amer. Statist. Assoc.), to allow for ties when more than two items are compared. Properties of the new model are discussed. It is found that this "Davidson-Luce" model retains the many appealing features of Davidson's solution, while extending the scope of application substantially beyond the domain of pair-comparison data. The model introduced here already underpins the handling of tied rankings in the "PlackettLuce" R package.

Cite

@article{arxiv.1909.07123,
  title  = {Davidson-Luce model for multi-item choice with ties},
  author = {David Firth and Ioannis Kosmidis and Heather Turner},
  journal= {arXiv preprint arXiv:1909.07123},
  year   = {2019}
}

Comments

11 pages, including Appendix with example R code

R2 v1 2026-06-23T11:16:30.563Z