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

Published online by Cambridge University Press:  01 January 2025

Javier Revuelta
Javier Revuelta*
Affiliation:
Autonoma University of Madrid
*
Requests for reprints should be sent to Javier Revuelta, Department of Social Psychology and Methodology, Autonoma University of Madrid, 28049 Madrid, Spain. E-mail: javier.revuelta@uam.es
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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.

Keywords

generalized logit-linear item response modeldesign matriceslinear restrictionsitem response theory
Type
Theory and Methods
Information
Psychometrika , Volume 73 , Issue 3 , September 2008 , pp. 385 - 405
Copyright
Copyright © 2007 The Psychometric Society

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Footnotes

This research was supported by the Comunidad de Madrid grant CCG06-UAM/ESP-0043.

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