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Equivalent Linear Logistic Test Models

Published online by Cambridge University Press:  01 January 2025

Timo M. Bechger ,
Huub H. F. M. Verstralen  and
Norman D. Verhelst
Timo M. Bechger*
Affiliation:
CITO, National Institute for Educational Measurement
Huub H. F. M. Verstralen
Affiliation:
CITO, National Institute for Educational Measurement
Norman D. Verhelst
Affiliation:
CITO, National Institute for Educational Measurement
*
Requests for reprints should be send to Timo Bechger, Cito, RO. Box 1034, 6801 MG Arnhem, THE NETHERLANDS. E-Mail: [email protected]
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Abstract

This paper is about the Linear Logistic Test Model (LLTM). We demonstrate that there are infinitely many equivalent ways to specify a model. An implication is that there may well be many ways to change the specification of a given LLTM and achieve the same improvement in model fit. To illustrate this phenomenon, we analyze a real data set using a Lagrange multiplier test for the specification of the model. This Lagrange multiplier test is similar to the modification index used in structural equation modeling.

Keywords

item response theory (IRT)linear logistic test modelLagrange multiplier test
Type
Articles
Information
Psychometrika , Volume 67 , Issue 1 , March 2002 , pp. 123 - 136
Copyright
Copyright © 2002 The Psychometric Society

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