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A Finite Stage Decision Procedure in the Analysis of Variance

✍ Scribed by Dr. F. Pfuff

Publisher: John Wiley and Sons
Year: 1985
Tongue: English
Weight: 430 KB
Volume: 27
Category: Article
ISSN: 0323-3847
DOI: 10.1002/bimj.4710270505

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✦ Synopsis

In this paper we have developed a finite stage Bayes test in the analysis of variance. Determining such a decision rule the losses of erroneously accepting the hypotheses as well as the observation costs and the a priori probabilities were considered. We have given a method of constructing the continuation intervals (a!, bt) (t =1, ..., r) of a r-stage test and have demonstrated how the decision process operates. Furthermore it has been investigated in which way the Bayes risk depends on the several parameters. Especially we have shown that the Bayes risk of an rstage test i~ much smaller than the Bayes risk of a corresponding test with fixed sample size as a rule.

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