Cross-Classification Multilevel Logistic Models in Psychometrics

Wim Van den Noortgate, Paul De Boeck and Michel Meulders

Journal of Educational and Behavioral Statistics, 2003, vol. 28, issue 4, pages 369-386

Abstract: In IRT models, responses are explained on the basis of person and item effects. Person effects are usually defined as a random sample from a population distribution. Regular IRT models therefore can be formulated as multilevel models, including a within-person part and a between-person part. In a similar way, the effects of the items can be studied as random parameters, yielding multilevel models with a within-item part and a between-item part. The combination of a multilevel model with random person effects and one with random item effects leads to a cross-classification multilevel model, which can be of interest for IRT applications. The use of cross-classification multilevel logistic models will be illustrated with an educational measurement application.

Keywords: crossed random effects; item response theory; logistic mixed models; multilevel models (search for similar items in EconPapers)
Date: 2003
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