IRT Model Selection Methods for Dichotomous Items
- 26 July 2007
- journal article
- research article
- Published by SAGE Publications in Applied Psychological Measurement
- Vol. 31 (4), 331-358
- https://doi.org/10.1177/0146621606292213
Abstract
Fit of the model to the data is important if the benefits of item response theory (IRT) are to be obtained. In this study, the authors compared model selection results using the likelihood ratio test, two information-based criteria, and two Bayesian methods. An example illustrated the potential for inconsistency in model selection depending on which of the indices was used. Results from a simulation study indicated that the inconsistencies among the indices were common but that model selection was relatively accurate for longer tests administered to larger sample of examinees. The cross-validation log-likelihood (CVLL) appeared to work the best of the five models for the conditions simulated in this study.Keywords
This publication has 23 references indexed in Scilit:
- Estimation of Compensatory and Noncompensatory Multidimensional Item Response Models Using Markov Chain Monte CarloApplied Psychological Measurement, 2003
- A Mixture Item Response Model for Multiple-Choice DataJournal of Educational and Behavioral Statistics, 2001
- An Evaluation of a Markov Chain Monte Carlo Method for the Rasch ModelApplied Psychological Measurement, 2001
- Confirmatory Analyses of Componential Test Structure Using Multidimensional Item Response TheoryMultivariate Behavioral Research, 1999
- An Investigation of the Item Parameter Recovery Characteristics of a Gibbs Sampling ProcedureApplied Psychological Measurement, 1998
- Model Selection Information Criteria for Non-Nested Latent Class ModelsJournal of Educational and Behavioral Statistics, 1997
- Marginal maximum likelihood estimation of item parameters: Application of an EM algorithmPsychometrika, 1981
- A Predictive Approach to Model SelectionJournal of the American Statistical Association, 1979
- A new look at the statistical model identificationIEEE Transactions on Automatic Control, 1974
- A goodness of fit test for the rasch modelPsychometrika, 1973