The asymptotic posterior normality of the latent trait in an IRT model

Hua Hua Chang, William Stout

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)37-52
Number of pages16
JournalPsychometrika
Volume58
Issue number1
DOIs
StatePublished - Mar 1993
Externally publishedYes

Keywords

  • ability estimation
  • confidence interval
  • Dutch Identity
  • empirical Bayes
  • item response theory
  • manifest probably
  • posterior distribution

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Psychology (miscellaneous)
  • Psychology(all)
  • Mathematics (miscellaneous)

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