Item Response Models for Grouped Data

Robert J. Mislevy

Journal of Educational and Behavioral Statistics, 1983, vol. 8, issue 4, 271-288

Abstract: The most familiar models of item response theory (IRT) are defined at the level of individual subjects; the form and the parameters of a model specify the probability of a correct response to a particular item from a particular subject. It is possible, however, to define an item response model at the level of salient groups of subjects; the form and the parameters of such a model would specify the probability of a correct response to a particular item from a subject selected at random from a particular group of subjects. So-called “group level†models extend the machinery of IRT to data gathered in the maximally efficient multiple-matrix sampling design, under which each sampled subject is administered only one item from a scale. This paper discusses group-level item response models, their uses, their relationships to subject-level item response models, and the estimation of model parameters.

Keywords: Item response theory; group-level models; multiple-matrix sampling; educational assessment (search for similar items in EconPapers)
Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:8:y:1983:i:4:p:271-288

DOI: 10.3102/10769986008004271

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