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A Latent Class Model for Rating Data

Published online by Cambridge University Press:  01 January 2025

Jürgen Rost
Jürgen Rost*
Affiliation:
IPN-Institute for Science Education, Kiel
*
Jürgen Rost, IPN Institute for Science Education, Olshausenstraße 40, D-2300 Kiel, Federal Republic of Germany.
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Abstract

A latent class model for rating data is presented which is the analogue of Andrich's binomial Rasch model for Lazarsfeld's latent class analysis (LCA). The response probabilities for the rating categories follow a binomial distribution and depend on class-specific item parameters. The EM-algorithm for parameter estimation as well as goodness of fit tests for the model are described. An example using questionnaire items on interest in physics illustrates the use of the model as an alternative to the latent trait approach of analyzing test data.

Type
Original Paper
Information
Psychometrika , Volume 50 , Issue 1 , March 1985 , pp. 37 - 49
Copyright
Copyright © 1985 The Psychometric Society

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Footnotes

I would like to thank Clifford Clogg and the anonymous reviewers for their helpful comments.

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