Accession Number : ADA133405

Title :   Two-Stage Selection Procedures Based on Tests.

Descriptive Note : Technical rept.,

Corporate Author : PURDUE UNIV LAFAYETTE IN DEPT OF STATISTICS

Personal Author(s) : Miescke,Klaus J

PDF Url : ADA133405

Report Date : Sep 1983

Pagination or Media Count : 22

Abstract : Suppose that k new treatments have been developed with the purpose of replacing the standard treatment with the best new one, provided that it is actually an improvement on the standard treatment. In a parametric approach, mainly under the assumption of monotones likelihood ratios, procedures are considered which, at a first stage, screen out inferior treatments through statistical tests at a common level of significance. If none (exactly one) is not eliminated, none (this one) will be used as a replacement. Otherwise, if more than one treatment overcomes this screening process, that one of the non-eliminated treatments will be chosen as the replacement which is judged to be the best, after additional data have been observed from the selected treatments. Topics of this paper are the questions of how to choose the terminal decision at the second stage and the tests at the first stage, respectively, and how to implement the appropriate procedures at certain pre-specified performance criteria. (Author)

Descriptors :   *Statistical decision theory, Statistical tests, Parametric analysis, Population(Mathematics), Selection, Statistical samples, Staging, Theorems

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE