title: Sample Size Determination Within the Scope of Conditional Maximum Likelihood Estimation with Special Focus on Testing the Rasch Model.
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.
authors.affiliation: The Health and Life Sciences University, EWZ 1, 6060 , Hall, Austria. clemens.draxler@umit.at.|University of Klagenfurt, Psychology Institute, Universitaetsstrasse 65-67, 9020, Klagenfurt, Austria. clemens.draxler@umit.at.
authors.forename: Clemens
authors.initials: C
authors.lastname: Draxler
authors.affiliation: The Health and Life Sciences University, EWZ 1, 6060 , Hall, Austria.|University of Klagenfurt, Psychology Institute, Universitaetsstrasse 65-67, 9020, Klagenfurt, Austria.
authors.forename: Rainer W
authors.initials: RW
authors.lastname: Alexandrowicz
mesh_terms: D000465:Algorithms; D016013:Likelihood Functions; D016014:Linear Models; D011594:Psychometrics / Q000706:statistics & numerical data; D018401:Sample Size
keywords: Rasch model; Wald test; conditional maximum likelihood; likelihood ratio test; sample size; score test