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A Person-Fit Index for Polytomous Rasch Models, Latent Class Models, and Their Mixture Generalizations

Published online by Cambridge University Press:  01 January 2025

Matthias von Davier  and
Ivo W. Molenaar
Matthias von Davier*
Affiliation:
Educational Testing Service
Ivo W. Molenaar
Affiliation:
University of Groningen
*
Requests for reprints should be sent to Matthias von Davier, ETS, MS O2-R, Princeton NJ 08541. E-Mail: mvondavier@ets.org
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Abstract

A normally distributed person-fit index is proposed for detecting aberrant response patterns in latent class models and mixture distribution IRT models for dichotomous and polytomous data.

This article extends previous work on the null distribution of person-fit indices for the dichotomous Rasch model to a number of models for categorical data. A comparison of two different approaches to handle the skewness of the person-fit index distribution is included.

Keywords

person-fitpolytomous Rasch modelmixed Rasch modellatent class analysisappropriateness measurement

Information

Type
Articles
Information
Psychometrika , Volume 68 , Issue 2 , June 2003 , pp. 213 - 228
Copyright
Copyright © 2003 The Psychometric Society

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Footnotes

Major parts of this paper were written while the first author worked at the Institute for Science Education, Kiel, Germany. Any opinions expressed in this paper are those of the authors and not necessarily of Educational Testing Service. The results presented in this paper were improved by valuable comments from J. Rost, K. Yamamoto, N.D. Verhelst, E. Bedrick and two anonymous reviewers.

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