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

Clemens Draxler () and Rainer Alexandrowicz

Psychometrika, 2015, vol. 80, issue 4, 897-919

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. Copyright The Psychometric Society 2015

Keywords: conditional maximum likelihood; Rasch model; sample size; Wald test; score test; likelihood ratio test (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s11336-015-9472-y

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