期刊
JOURNAL OF STATISTICAL PLANNING AND INFERENCE
卷 83, 期 2, 页码 319-330出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0378-3758(99)00098-1
关键词
generalized Bayes estimator; heteroscedasticity; interlaboratory study; Mandel-Paule algorithm; restricted maximum likelihood estimator; unbalanced one-way ANOVA model; variance components
The estimation of a common normal mean on the basis of interlaboratory evaluations is studied when there is an interlaboratory effect. An estimation equation approach due to Mandel and Paule is examined and its theoretical properties are studied. In particular, we show that the Mandel-Paule solution can be interpreted as a simplified version of the restricted maximum likelihood method. It is also demonstrated that the Mandel-Paule algorithm is a generalized Bayes procedure. The results of numerical comparison of these estimators for a special distribution of within-laboratory variances are also reported. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: primary 62F12; secondary 62B20.
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