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

被引：12

作者：

Draxler, Clemens ^{[1
]}

Alexandrowicz, Rainer W. ^{[2
]}

机构：

[1] Hlth & Life Sci Univ, A-6060 Hall In Tirol, Austria

[2] Univ Klagenfurt, Inst Psychol, Klagenfurt, Austria

来源：

PSYCHOMETRIKA | 2015年 / 80卷 / 04期

关键词：

conditional maximum likelihood; Rasch model; sample size; Wald test; score test; likelihood ratio test; LIMITING POWER; RATIO TEST; STATISTICS; FORMULATION; PARAMETERS; FIT;

D O I：

10.1007/s11336-015-9472-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：897 / 919

页数：23

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