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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Bechger, T.M., Verstralen, H.H.F.M. & Verhelst, N.D. Equivalent linear logistic test models. Psychometrika 67, 123–136 (2002). https://doi.org/10.1007/BF02294712
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DOI: https://doi.org/10.1007/BF02294712