A connection between item/subtest regression and the Rasch model

Ronald J.H. Engelen, Robert J. Jannarone

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Abstract

The purpose of this paper is to link empirical Bayes methods with two specific topics in item response theory--item/subtest regression, and testing the goodness of fit of the Rasch model--under the assumptions of local independence and sufficiency. It is shown that item/subtest regression results in empirical Bayes estimates only if the Rasch model holds. Additionally, it is shown that a newly-derived exploratory goodness-of-fit test for the Rasch model, which does not need item and person parameter estimates, can be seen as an empirical Bayes test. This test compares the observed proportions of correct answers to one specific item, given any pattern that leads to a number-right score.
Original languageUndefined
Place of PublicationEnschede, the Netherlands
PublisherUniversity of Twente, Faculty Educational Science and Technology
Publication statusPublished - 1989

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.89-1

Keywords

  • Test Items
  • Equations (Mathematics)
  • Regression (Statistics)
  • Item Analysis
  • Item Response Theory
  • Mathematical Models
  • Estimation (Mathematics)
  • IR-104184
  • Bayesian Statistics
  • Comparative Analysis
  • Goodness of Fit

Cite this

Engelen, R. J. H., & Jannarone, R. J. (1989). A connection between item/subtest regression and the Rasch model. (OMD research report; No. 89-1). Enschede, the Netherlands: University of Twente, Faculty Educational Science and Technology.