Sankhya: The Indian Journal of Statistics

1993, Volume 55, Series B, Pt. 2, 272--279

OPTIMAL SAMPLE SIZES FOR PARTITIONING A SET OF NORMAL POPULATIONS WITH RESPECT TO A CONTROL

By

LENNART NORELL, University of Uppsala

SUMMARY. The problem of optimum allocation of samples for partitioning a set of normal populations by their locations with respect to a control is studied using the indifference zone approach. A proof of a conjecture in Tamhane (1987) is presented. As some results in this paper disagree with the corresponding in Tamhane's paper, new versions of tables for the calculation of sample sizes are presented.

AMS subject classification. 62F10,62F07, 62J15

Key words and phrases. Partitioning normal populations, log-concavity of normal measures, indifference zones

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