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Logistic Latent Trait Models with Linear Constraints

Published online by Cambridge University Press:  01 January 2025

Gerhard H. Fischer
Gerhard H. Fischer*
Affiliation:
University of Vienna
*
Requests for reprints should be sent to Gerhard H. Fischer, Institut für Psychologic, Universität Wen, Liebiggasse 5, A-1010 Wien, Austria.
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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.

Keywords

latent trait theoryRasch modellog-linear modelsconditional maximum likelihood estimation
Type
Original Paper
Information
Psychometrika , Volume 48 , Issue 1 , March 1983 , pp. 3 - 26
Copyright
Copyright © 1983 The Psychometric Society

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Footnotes

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.

References

References Notes

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