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Logistic latent trait models with linear constraints

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Abstract

Two linearly constrained logistic models which are based on the well-known dichotomous Rasch model, the ‘linear logistic test model’ (LLTM) and the ‘linear logistic model with relaxed assumptions’ (LLRA), are discussed. Necessary and sufficient conditions for the existence of unique conditional maximum likelihood estimates of the structural model parameters are derived. Methods for testing composite hypotheses within the framework of these models and a number of typical applications to real data are mentioned.

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Authors and Affiliations

  1. University of Vienna, Austria

    Gerhard H. Fischer

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  1. Gerhard H. Fischer
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Additional information

This research was supported in part by the Österreichische Forschungsgemeinschaft under grant No. 01/0054. The author is indebted to Norbert Tanzer for many valuable comments.

Paper read at the Meeting of the Psychometric Society at Chapel Hill, N.C., May 27–29, 1981.

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Fischer, G.H. Logistic latent trait models with linear constraints. Psychometrika 48, 3–26 (1983). https://doi.org/10.1007/BF02314674

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  • DOI: https://doi.org/10.1007/BF02314674

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