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On the Inhomogeneity of a Test Compounded of Two Rasch Homogeneous Subscales

Published online by Cambridge University Press:  01 January 2025

Anton K. Formann  and
Ilse Rop
Anton K. Formann*
Affiliation:
University of Vienna
Ilse Rop
Affiliation:
Board of Education for the Province of Lower Austria
*
Requests for reprints should be sent to Anton K. Formann, Institut für Psychologie, Universität Wien, Liebiggasse 5, A-1010 Wien, AUSTRIA.
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Abstract

Van den Wollenberg stated a theorem specifying the conditions for a test, which is composed of two Rasch homogeneous subscales, as also behaving Rasch homogeneously. In our note, simple numerical counterexamples are given for which this theorem fails.

Keywords

one-parameter logistic modelunidimensionalitylikelihood ratio testmixture distributions
Type
Notes And Comments
Information
Psychometrika , Volume 52 , Issue 2 , March 1987 , pp. 263 - 267
Copyright
Copyright © 1987 The Psychometric Society

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Footnotes

†

While preparing the final version of this note, Ilse Rop passed away. The first author therefore takes sole responsibility for this final version.

References

Andersen, E. B. (1973). A goodness of fit test for the Rasch model. Psychometrika, 38, 123–140.CrossRefGoogle Scholar
Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests, Copenhagen: Paedagogiske Institut.Google Scholar
van den Wollenberg, A. L. (1979). The Rasch model and time limit tests, Nijmegen, The Netherlands: Studentenpers.Google Scholar
van den Wollenberg, A. L. (1982). Two new test statistics for the Rasch model. Psychometrika, 47, 123–140.CrossRefGoogle Scholar