Generalized Plackett-Luce Likelihoods

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,...

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Main Author: Robin K. S. Hankin
Format: Article
Language:English
Published: Foundation for Open Access Statistics 2024-06-01
Series:Journal of Statistical Software
Online Access:https://www.jstatsoft.org/index.php/jss/article/view/4832
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author Robin K. S. Hankin
author_facet Robin K. S. Hankin
author_sort Robin K. S. Hankin
collection DOAJ
description 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.
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issn 1548-7660
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spelling doaj-art-1fe0f891ecae43b1b9e5f0eebbad467d2024-12-29T00:12:43ZengFoundation for Open Access StatisticsJournal of Statistical Software1548-76602024-06-01109110.18637/jss.v109.i08Generalized Plackett-Luce LikelihoodsRobin K. S. Hankin0University of Stirling 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. https://www.jstatsoft.org/index.php/jss/article/view/4832
spellingShingle Robin K. S. Hankin
Generalized Plackett-Luce Likelihoods
Journal of Statistical Software
title Generalized Plackett-Luce Likelihoods
title_full Generalized Plackett-Luce Likelihoods
title_fullStr Generalized Plackett-Luce Likelihoods
title_full_unstemmed Generalized Plackett-Luce Likelihoods
title_short Generalized Plackett-Luce Likelihoods
title_sort generalized plackett luce likelihoods
url https://www.jstatsoft.org/index.php/jss/article/view/4832
work_keys_str_mv AT robinkshankin generalizedplackettlucelikelihoods