Psychometrika

, Volume 51, Issue 2, pp 251–267

Bayesian estimation of item response curves

  • Robert K. Tsutakawa
  • Hsin Ying Lin
Article

DOI: 10.1007/BF02293983

Cite this article as:
Tsutakawa, R.K. & Lin, H.Y. Psychometrika (1986) 51: 251. doi:10.1007/BF02293983

Abstract

Item response curves for a set of binary responses are studied from a Bayesian viewpoint of estimating the item parameters. For the two-parameter logistic model with normally distributed ability, restricted bivariate beta priors are used to illustrate the computation of the posterior mode via the EM algorithm. The procedure is illustrated by data from a mathematics test.

Key words

item responsesBayesian estimationEM algorithm

Copyright information

© The Psychometric Society 1986

Authors and Affiliations

  • Robert K. Tsutakawa
    • 1
  • Hsin Ying Lin
    • 1
  1. 1.Department of StatisticsUniversity of MissouriColumbia