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Two New Test Statistics for the Rasch Model

Published online by Cambridge University Press:  01 January 2025

Arnold L. van den Wollenberg*
Affiliation:
University of Nijmegen
*
Requests for reprints should be sent to: Dr. A. L. van den Wollenberg, Department of Psychology, P. O. Box 9104, 6500 HE Nijmegen, The Netherlands.

Abstract

It is shown that the presently available statistical tests for the Rasch model are insensitive to violation of the unidimensionality axiom. Two new test statistics are presented. The first one, Q1, is sensitive to the same effects as the presently available statistics, but has some desirable properties of a nonstatistical nature. The second statistic, Q2, is sensitive to violation of local stochastic independence and unidimensionality and thus fills an existing gap.

Information

Type
Original Paper
Copyright
Copyright © 1982 The Psychometric Society

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