Bayesian analysis of order-statistics models for ranking data

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18 Citations (Scopus)

Abstract

In this paper, a class of probability models for ranking data, the order-statistics models, is investigated. We extend the usual normal order-statistics model into one where the underlying random variables follow a multivariate normal distribution. Bayesian approach and the Gibbs sampling technique are used for parameter estimation. In addition, methods to assess the adequacy of model fit are introduced. Robustness of the model is studied by considering a multivariate-t distribution. The proposed method is applied to analyze the presidential election data of the American Psychological Association (APA). Copyright © 2000 The Psychometric Society.
Original languageEnglish
Pages (from-to)281-299
JournalPsychometrika
Volume65
Issue number3
DOIs
Publication statusPublished - Sep 2000

Citation

Yu, P. L. H. (2000). Bayesian analysis of order-statistics models for ranking data. Psychometrika, 65(3), 281-299. doi: 10.1007/BF02296147

Keywords

  • Data augmentation
  • Gibbs sampling
  • Order-statistics model
  • Ranking data

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