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An IRT Model with a Parameter-Driven Process for Change

Published online by Cambridge University Press:  01 January 2025

Frank Rijmen ,
Paul De Boeck  and
Han L. J. van der Maas
Frank Rijmen*
Affiliation:
Katholieke Universiteit Leuven, Belgium
Paul De Boeck
Affiliation:
Katholieke Universiteit Leuven, Belgium
Han L. J. van der Maas
Affiliation:
University of Amsterdam, The Netherlands
*
Requests for reprints should be set to frank.rijmen@psy.kuleuven.be
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Abstract

An IRT model with a parameter-driven process for change is proposed. Quantitative differences between persons are taken into account by a continuous latent variable, as in common IRT models. In addition, qualitative interindividual differences and autodependencies are accounted for by assuming within-subject variability with respect to the parameters of the IRT model. In particular, the parameters of the IRT model are governed by an unobserved or “hidden'” homogeneous Markov process. The model includes the mixture linear logistic test model (Mislevy & Verhelst, 1990), the mixture Rasch model (Rost, 1990), and the Saltus model (Wilson, 1989) as specific instances. The model is applied to a longitudinal experiment on discontinuity in conservation acquisition (van der Maas, 1993).

Keywords

latent markov modelitem response theorypanel data
Type
Theory and Methods
Information
Psychometrika , Volume 70 , Issue 4 , December 2005 , pp. 651 - 669
Copyright
Copyright © 2005 The Psychometric Society

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Footnotes

Frank Rijmen was supported by the Fund for Scientific Research Flanders (FWO), the GOA/2000/02 granted by the Katholieke Universiteit Leuven to Paul De Boeck and Iven Van Mechelen, and the PDM/02/067 granted by the Katholieke Universiteit Leuven to Paul De Boeck.

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