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Sample Size Determination Within the Scope of Conditional Maximum Likelihood Estimation with Special Focus on Testing the Rasch Model

Published online by Cambridge University Press:  01 January 2025

Clemens Draxler  and
Rainer W. Alexandrowicz
Clemens Draxler*
Affiliation:
The Health and Life Sciences University
Rainer W. Alexandrowicz
Affiliation:
University of Klagenfurt, Psychology Institute
*
Correspondence should be made to Clemens Draxler, The Health and Life Sciences University, EWZ 1, 6060 Hall, Austria. Email: clemens.draxler@umit.at
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Abstract

This paper refers to the exponential family of probability distributions and the conditional maximum likelihood (CML) theory. It is concerned with the determination of the sample size for three groups of tests of linear hypotheses, known as the fundamental trinity of Wald, score, and likelihood ratio tests. The main practical purpose refers to the special case of tests of the class of Rasch models. The theoretical background is discussed and the formal framework for sample size calculations is provided, given a predetermined deviation from the model to be tested and the probabilities of the errors of the first and second kinds.

Keywords

conditional maximum likelihoodRasch modelsample sizeWald testscore testlikelihood ratio test
Type
Original Paper
Information
Psychometrika , Volume 80 , Issue 4 , December 2015 , pp. 897 - 919
Copyright
Copyright © 2015 The Psychometric Society

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