1995/12/01 by Aeilko H. Zwinderman · 3 citations
Computer Science · Decision Sciences · Mathematics · #Advanced Statistical Modeling Techniques #Econometrics #Item response theory #Marginal likelihood #Mathematics #Maximum likelihood #Pairwise comparison #Polytomous Rasch model #Psychometric Methodologies and Testing #Psychometrics #Rasch model #Restricted maximum likelihood #Score test #Standard error #Statistical Methods and Bayesian Inference #Statistics
paper · doi:10.1177/014662169501900406
crossref issued 1995/12/01 · crossref published 1995/12/01 · crossref published-online 1995/12/01 · crossref published-print 1995/12/01 · openalex publication_date 1995/12/01 · crossref created 2007/03/11 · openalex created_date 2025/10/10 · crossref deposited 2026/04/28 · openalex updated_date 2026/07/02 · crossref indexed 2026/07/31
Rasch model item parameters can be estimated consistently with a pseudo-likelihood method based on comparing responses to pairs of items irrespective of other items. The pseudo-likelihood method is comparable to Fischer's (1974) Minchi method. A simulation study found that the pseudo-likelihood estimates and their (estimated) standard errors were comparable to conditional and marginal maximum likelihood estimates. The method is extended to estimate parameters of the linear logistic test model allowing the design matrix to vary between persons.