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Modelling rankings in R: the PlackettLuce package

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Turner, Heather , van Etten, Jacob, Firth, David and Kosmidis, Ioannis (2020) Modelling rankings in R: the PlackettLuce package. Computational Statistics, 35 . pp. 1027-1057. doi:10.1007/s00180-020-00959-3

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Official URL: http://dx.doi.org/10.1007/s00180-020-00959-3

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Abstract

This paper presents the R package PlackettLuce, which implements a generalization of the Plackett-Luce model for rankings data. The generalization accommodates both ties (of arbitrary order) and partial rankings (complete rankings of subsets of items). By default, the implementation adds a set of pseudo-comparisons with a hypothetical item, ensuring that the underlying network of wins and losses between items is always strongly connected. In this way, the worth of each item always has a finite maximum likelihood estimate, with finite standard error. The use of pseudo-comparisons also has a regularization effect, shrinking the estimated parameters towards equal item worth. In addition to standard methods for model summary, PlackettLuce provides a method to compute quasi standard errors for the item parameters. This provides the basis for comparison intervals that do not change with the choice of identifiability constraint placed on the item parameters. Finally, the package provides a method for model-based partitioning using covariates whose values vary between rankings, enabling the identification of subgroups of judges or settings that have different item worths. The features of the package are demonstrated through application to classic and novel data sets.

Item Type: Journal Article
Subjects: H Social Sciences > HA Statistics
Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Axiom of choice, Correlation (Statistics)
Journal or Publication Title: Computational Statistics
Publisher: Springer
ISSN: 0943-4062
Official Date: 12 February 2020
Dates:
DateEvent
12 February 2020Published
18 January 2020Accepted
Volume: 35
Page Range: pp. 1027-1057
DOI: 10.1007/s00180-020-00959-3
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
Copyright Holders: Authors
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
AID-OAA-F-14-00035United States Agency for International Developmenthttp://dx.doi.org/10.13039/100000200
EP/N510129/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266

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