The Asymptotic Posterior Normality of the Latent Trait in an IRT Model

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 non parametric assumptions, we make this claim rigorous for a broad class of latent models.

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Document Details

Document Type
Technical Report
Publication Date
May 25, 1991
Accession Number
ADA236646

Entities

People

  • H. H. Chang
  • William Stout

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Biomedical
  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Acquisition
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  • Illinois
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  • New York
  • Probability
  • Psychology
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  • South Carolina
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  • United States

Fields of Study

  • Mathematics

Readers

  • Educational Psychology
  • Psychometric Testing or Psychological Assessment.
  • Statistical inference.