2019/09/16 by David Firth, Firth, David, Ioannis Kosmidis +3 · 1 citation
Agricultural and Biological Sciences · Psychology · #62J15 (Primary) 62J12 (Secondary) #Behavioral and Psychological Studies #Cognitive and psychological constructs research #FOS: Computer and information sciences #Methodology (stat.ME) #Sensory Analysis and Statistical Methods
paper · pdf · doi:10.48550/arxiv.1909.07123
openalex publication_date 2019/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.