Testing Thurstonian Case V ranking models using posterior predictive checks

Rung Ching Tsai, Grace Yao

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2 Citations (Scopus)

Abstract

This paper presents the results of a Monte Carlo study which investigates the validity of the method of posterior predictive checks (PPC) for testing the fit of a Thurstonian Case V ranking model. The PPC method is employed as an alternative to standard goodness-of-fit tests which are of limited use even when the number of items to be ranked is small. Several test quantities are formed to assess the fit of the Case V ranking model to data for various sample sizes and for two types of violations of the Case V assumptions: heterogeneous stimulus variances and rankers from different populations. The study concludes that the PPC method is useful in detecting local and global misfits of a Thurstonian Case V model, even when the ranking data are sparse.

Original languageEnglish
Pages (from-to)275-292
Number of pages18
JournalBritish Journal of Mathematical and Statistical Psychology
Volume53
Issue number2
DOIs
Publication statusPublished - 2000 Nov

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ASJC Scopus subject areas

  • Statistics and Probability
  • Arts and Humanities (miscellaneous)
  • Psychology(all)

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