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Psychometric Latent Response Models

Published online by Cambridge University Press:  01 January 2025

Eric Maris
Eric Maris*
Affiliation:
University of Nijmegen
*
Requests for reprints should be sent to Eric Marls, Nijmegen Institute for Cognition and Information (NICI), Department of Mathematical Psychology, University of Nijmegen, PO Box 9104, 6500 HE Nijmegen, THE NETHERLANDS. E-mall: U212776@VM.UCI.KUN.NL
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Abstract

In this paper, some psychometric models will be presented that belong to the larger class of latent response models (LRMs). First, LRMs are introduced by means of an application in the field of componential item response theory (Embretson, 1980, 1984). Second, a general definition of LRMs (not specific for the psychometric subclass) is given. Third, some more psychometric LRMs, and examples of how they can be applied, are presented. Fourth, a method for obtaining maximum likelihood (ML) and some maximum a posteriori (MAP) estimates of the parameters of LRMs is presented. This method is then applied to the conjunctive Rasch model. Fifth and last, an application of the conjunctive Rasch model is presented. This model was applied to responses to typical verbal ability items (open synonym items).

Keywords

latent response modelscomponential IRTconjunctive Rasch modelincomplete dataEM algorithmverbal abilityopen synonym items
Type
Original Paper
Information
Psychometrika , Volume 60 , Issue 4 , December 1995 , pp. 523 - 547
Copyright
Copyright © 1995 The Psychometric Society

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Footnotes

This paper presents theoretical and empirical results of a research project supported by the Research Council [Onderzoeksraad] of the University of Leuven (grant number 89-9) to Paul De Boeck and Luc Delbeke.

The author wishes to thank Paul De Boeck, Jan van Leeuwe, and Norman Verhelst for their helpful comments, and Rianne Janssen and Machteld Hoskens for the use of their data.

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