A Two-Stage Elimination Type Procedure for Selecting the Largest of Several Normal Means with a Common Unknown Variance.

Abstract : The problem of selecting the normal population with the largest mean from several populations with common unknown variance is considered. A new simple two-stage elimination type procedure is proposed which guarantees the same probability requirement using the indifference-zone approach as does the two-stage non-elimination type procedure of Bechhofer, Dunnett and Sobel (1954). The observations in the first stage are used not only to estimate the common unknown variance but also to screen out non-contending populations.

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