Equivalent linear logistic test models |
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Authors: | Timo M. Bechger Huub H. F. M. Verstralen Norman D. Verhelst |
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Affiliation: | (1) Cito, National Institute for Educational Measurement, The Netherlands;(2) Cito, P.O. Box 1034, 6801 MG Arnhem, The Netherlands |
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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. |
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Keywords: | item response theory (IRT) linear logistic test model Lagrange multiplier test |
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