אסיף מאגר המחקר החקלאי

Three stage elimination type procedures for selecting the best normal population when variances are unknown

Year:

1981

Source of publication :

Authors :

Volume :

10

Co-Authors:

Hochberg, Y., University of Tel Aviv, Ramat-Aviv, Israel
Marcus, R., University of Tel Aviv, Ramat-Aviv, Israel

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Abstract:

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 (2 > (> ° each population the total sizes N. > N., f>n) of the two following stages are determined. In the second stage one takes N-n additional observations from the ith population and i o, eliminates a random subset of “bad11 populations. If only one population remains after the second stage we make our final selection at that point; if more than one pppulation remains, we proceed to the third stage. In that case additional -N (1) (2) N. 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 corresponding non-elimination procedures on a restricted set of simulated data. The numerical data show that phe 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. © 1981, Taylor & Francis Group, LLC. All rights reserved.

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