Dirichlet Prior in Bayesian Estimation of Item Response Curves.

Abstract

This article examines the use of the ordered Dirichlet prior for binary logistic item response models. This prior is based on the investigator's prior information about the probabilities of correct response to items from examinees at several ability levels. The effect of the prior is examined in terms of the posterior mode of item parameters computed via the EM algorithm. An illustration describes the application of a 1981 ACT math test to form a prior which is used on a similar 1987 test. Detailed computational expressions for the three-parameter logistic model are summarized in an appendix. Keywords: Bayesian estimation; Item response curves.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA195311

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People

  • Robert K. Tsutakawa

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  • Algorithms
  • Computational Science
  • Data Science
  • Educational Psychology
  • Illinois
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  • Military Research
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Fields of Study

  • Mathematics

Readers

  • Psychometric Testing or Psychological Assessment.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Information Retrieval