A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with known Variances
This paper is concerned with a single-sample multiple decision procedure for ranking means of normal populations with known variances. Problems which conventionally are handled by the analysis of variance (Model I) which tests the hypothesis that $k$ means are equal are reformulated as multiple decision procedures involving rankings. It is shown how to design experiments so that useful statements can be made concerning these rankings on the basis of a predetermined number of independent observations taken from each population. The number of observations required is determined by the desired probability of a correct ranking when certain differences between population means are specified.
Permanent link to this document: http://projecteuclid.org/euclid.aoms/1177728845
Digital Object Identifier: doi:10.1214/aoms/1177728845
Mathematical Reviews number (MathSciNet): MR60197
Zentralblatt MATH identifier: 0055.13003