, Volume 51, Issue 4, pp 589–601 | Cite as

Bayesian estimation in the three-parameter logistic model

  • Hariharan Swaminathan
  • Janice A. Gifford


A joint Bayesian estimation procedure for the estimation of parameters in the three-parameter logistic model is developed in this paper. Procedures for specifying prior beliefs for the parameters are given. It is shown through simulation studies that the Bayesian procedure (i) ensures that the estimates stay in the parameter space, and (ii) produces better estimates than the joint maximum likelihood procedure as judged by such criteria as mean squared differences between estimates and true values.

Key words

Bayes estimation three-parameter logistic model item response theory 


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Copyright information

© The Psychometric Society 1986

Authors and Affiliations

  • Hariharan Swaminathan
    • 1
  • Janice A. Gifford
    • 2
  1. 1.School of EducationUniversity of MassachusettsAmherst
  2. 2.Mount Holyoke CollegeUSA

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