Open Access
March, 1962 On Multiple Decision Methods for Ranking Population Means
Vaclav Fabian
Ann. Math. Statist. 33(1): 248-254 (March, 1962). DOI: 10.1214/aoms/1177704728


(i) In the case of the choice of the largest among $k$ population means (special case $\mathscr a$ of the use of ranking methods) the assertion of Bechhofer's method ([1], [2], [3]) can be strengthened without decreasing the probability of a correct decision (Sec. 3). (ii) Bechhofer's concept of the "least favorable configuration of the population means" is studied (Sec. 4.). The result suggests at the concept is not always in accord with the underlying practical problem, but that it is in accord in the important case $\mathscr a$. (iii) an approximation is suggested for use in the case of normal populations with a common unknown variance (Sec. 5).


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Vaclav Fabian. "On Multiple Decision Methods for Ranking Population Means." Ann. Math. Statist. 33 (1) 248 - 254, March, 1962.


Published: March, 1962
First available in Project Euclid: 27 April 2007

zbMATH: 0114.10402
MathSciNet: MR148191
Digital Object Identifier: 10.1214/aoms/1177704728

Rights: Copyright © 1962 Institute of Mathematical Statistics

Vol.33 • No. 1 • March, 1962
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