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Journal of Educational and Behavioral Statistics
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Cross-Classification Multilevel Logistic Models in Psychometrics

Wim Van den Noortgate
Paul De Boeck
Michel Meulders

Katholieke Universiteit Leuven

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.

Key Words: crossed random effects • item response theory • logistic mixed models • multilevel models

Journal of Educational and Behavioral Statistics, Vol. 28, No. 4, 369-386 (2003)
DOI: 10.3102/10769986028004369


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