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  Three stage elimination type procedures for selecting the best normal population when variances are unknown
 
 
Titel: Three stage elimination type procedures for selecting the best normal population when variances are unknown
Auteur: Hochberg, Yosef
Marcus, Ruth
Verschenen in: Communications in statistics
Paginering: Jaargang 10 (1981) nr. 6 pagina's 597-612
Jaar: 1981
Inhoud: The problem of selecting the normal population with largest mean when variances are unknown, is considered. A three stage procedure is proposed. Based on pilot samples of size n from each population the total sizes [image omitted]  of the two following stages are determined. In the second stage one takes [image omitted]  additional observations from the ith population and eliminates a random subset of "bad" populations. If only one population remains after the second stage we make our final selection at that point; if more than one population remains, we proceed to the third stage. In that case additional [image omitted]  observations are drawn from the ith non-eliminated population and a final selection is then made. A simple conservative procedure is derived and compared with correspon-ding non-elimination procedures on a restricted set of simu-lated data. The numerical data show that the new procedure will be very economical in many realistic applications. Another procedure which is shown to be exact over a “slippage zone” is discussed in an Appendix.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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