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Sample Size Determination for Rasch Model Tests

Published online by Cambridge University Press:  01 January 2025

Clemens Draxler
Clemens Draxler*
Affiliation:
Ludwig-Maximilians-University Munich
*
Requests for reprints should be sent to Clemens Draxler, Department Psychology, Ludwig-Maximilians-Universität München, Leopoldstraße 13, 80802 Munich, Germany. E-mail: draxler@psy.lmu.de
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Abstract

This paper is concerned with supplementing statistical tests for the Rasch model so that additionally to the probability of the error of the first kind (Type I probability) the probability of the error of the second kind (Type II probability) can be controlled at a predetermined level by basing the test on the appropriate number of observations. An approach to determining a practically meaningful extent of model deviation is proposed, and the approximate distribution of the Wald test is derived under the extent of model deviation of interest.

Keywords

Rasch modelWald testsample sizeerror of the second kind (Type II error)
Type
Original Paper
Information
Psychometrika , Volume 75 , Issue 4 , December 2010 , pp. 708 - 724
Copyright
Copyright © 2010 The Psychometric Society

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