Sample Size Determination Within the Scope of Conditional Maximum Likelihood Estimation with Special Focus on Testing the Rasch Model
Sample Size Determination Within the Scope of Conditional Maximum Likelihood Estimation with Special Focus on Testing the Rasch Model
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DOI：
10.1007/s11336-015-9472-y
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发表时间：
2015-12-01
期刊：
影响因子：
3
通讯作者：
Alexandrowicz, Rainer W.
中科院分区：
文献类型：
--
作者：
Draxler, Clemens;Alexandrowicz, Rainer W.
本文参考了概率分布的指数族和条件极大似然理论。它涉及三组线性假设检验的样本大小的确定，即基本三位一体的Wald检验、得分检验和似然比检验。主要的实用目的是指Rasch模型类检验的特例。讨论了理论背景，并提供了计算样本量的形式框架，给出了与待测模型的预定偏差以及第一类和第二类错误的概率。
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.