Generalizations of the solution-error response-error model

Paul Westers, Henk Kelderman

Research output: Book/ReportReportProfessional

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Abstract

In the last decade, several attempts have been made to relate item response theory (IRT) models to latent class analysis (LCA) models. One of these attempts is the solution-error response-error (SERS) model, an LCA model in which the structure of the latent class probabilities is explained by a one-dimensional loglinear Rasch model. In this paper, the SERE model is generalized to models for polytomously scored latent states that may be explained by a multidimensional latent space. In this generalized SERE model a distinction is made between some well-defined latent states in which the subject has a certain amount of knowledge of the answer. The probability that the subject is in a certain state is assumed to be governed by the multidimensional polytomous latent trait model. The relationship between the latent states and the observed answers is described by conditional probabilities. Two appendixes present items from a clinical pathology test and a proof of the collapsed generalized SERE model. Five tables and four figures illustrate the discussion.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Faculty Educational Science and Technology
Number of pages38
Publication statusPublished - 1993

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology
No.93-1

Keywords

  • Goodness of Fit
  • Foreign Countries
  • Equations (Mathematics)
  • Estimation (Mathematics)
  • Pathology
  • Item Response Theory
  • METIS-136740
  • IR-104204
  • Mathematical Models
  • Generalization

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