, Volume 49, Issue 4, pp 501–519

A response model for multiple choice items

  • David Thissen
  • Lynne Steinberg

DOI: 10.1007/BF02302588

Cite this article as:
Thissen, D. & Steinberg, L. Psychometrika (1984) 49: 501. doi:10.1007/BF02302588


We introduce an extended multivariate logistic response model for multiple choice items; this model includes several earlier proposals as special cases. The discussion includes a theoretical development of the model, a description of the relationship between the model and data, and a marginal maximum likelihood estimation scheme for the item parameters. Comparisons of the performance of different versions of the full model with more constrained forms corresponding to previous proposals are included, using likelihood ratio statistics and empirical data.

Key words

item response theorymultiple choice itemsmarginal maximum likelihood

Copyright information

© The Psychometric Society 1984

Authors and Affiliations

  • David Thissen
    • 1
  • Lynne Steinberg
    • 1
  1. 1.Department of PsychologyUniversity of KansasLawrence