Testing Thurstonian Case V ranking models using posterior predictive checks
Resource
British Journal of Mathematical and Statistical Psychology 53 (2): 275-292
Journal
British Journal of Mathematical and Statistical Psychology
Pages
275-292
Date Issued
2000
Date
2000
Author(s)
Tsai R-C.
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.
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