The Asymptotic Posterior Normality of the Latent Trait in an IRT Model
- 1 March 1993
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 58 (1) , 37-52
- https://doi.org/10.1007/bf02294469
Abstract
It has long been part of the item response theory (IRT) folklore that under the usual empirical Bayes unidimensional IRT modeling approach, the posterior distribution of examinee ability given test response is approximately normal for a long test. Under very general and nonrestrictive nonparametric assumptions, we make this claim rigorous for a broad class of latent models.Keywords
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