Journal
PSYCHOMETRIKA
Volume 80, Issue 4, Pages 897-919Publisher
SPRINGER
DOI: 10.1007/s11336-015-9472-y
Keywords
conditional maximum likelihood; Rasch model; sample size; Wald test; score test; likelihood ratio test
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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.
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