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The generalized Logit-Linear Item Response Model for Binary-Designed Items

Authors
  • Revuelta, Javier1
  • 1 Autonoma University of Madrid, Department of Social Psychology and Methodology, Madrid, 28049, Spain , Madrid (Spain)
Type
Published Article
Journal
Psychometrika
Publisher
Springer-Verlag
Publication Date
Dec 15, 2007
Volume
73
Issue
3
Identifiers
DOI: 10.1007/s11336-007-9048-6
Source
Springer Nature
Keywords
License
Yellow

Abstract

This paper introduces the generalized logit-linear item response model (GLLIRM), which represents the item-solving process as a series of dichotomous operations or steps. The GLLIRM assumes that the probability function of the item response is a logistic function of a linear composite of basic parameters which describe the operations, and the coefficients depend on three design matrices X, Y and Z. The GLLIRM provides a tool for testing hypotheses on the item-solving process and generalizes existing models. An empirical application is included, in which the model is applied to evaluate sources of difficulty and pairwise item interactions in a logical analysis test.

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