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The Asymptotic Posterior Normality of the Latent Trait in an IRT Model
Hua-Hua Chang, William Stout
Journal:

Psychometrika / Volume 58 / Issue 1 / March 1993

Published online by Cambridge University Press:

01 January 2025, pp. 37-52
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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.

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