| Abstract: | 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 (at, 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 r-stage test is much smaller than the Bayes risk of a corresponding test with fixed sample size as a rule. |
