Generalized Plackett-Luce Likelihoods

Citation

Hankin RKS (2024) Generalized Plackett-Luce Likelihoods. Journal of Statistical Software, 109 (8). https://doi.org/10.18637/jss.v109.i08

Abstract
The hyper2 package provides functionality to work with extensions of the Bradley-Terry probability model such as Plackett-Luce likelihood including team strengths and reified entities (monsters). The package allows one to use relatively natural R idiom to manipulate such likelihood functions. Here, I present a generalization of hyper2 in which multiple entities are constrained to have identical Bradley-Terry strengths. A new S3 class ‘hyper3’, along with associated methods, is motivated and introduced. Three datasets are analyzed, each analysis furnishing new insight, and each highlighting different capabilities of the package.

Keywords
Plackett-Luce; Bradley-Terry; Mann-Whitney

Journal
Journal of Statistical Software: Volume 109, Issue 8

• Generalized Plackett-Luce Likelihoods