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Publisher Summary This chapter discusses the sample size for selection. Dudewicz (1969), Ramberg (1969); Bechhofer, Kiefer, and Sobel (BKS) (1968); and Siegmund and Robbins (1968) have given approximations to the sample size n ( k, λ *, P *) needed by the ranking and selection procedure of Bechhofer (1954), under various conditions: P* 1, k ∞. Several of these approximations also hold for more general problems than that considered by Bechhofer (1954); for example, that of Dudewicz (1969) holds for selection from a multivariate normal population. All might be used in circumstances other than those for which they were derived, because of lack of tables and as a quick method. This chapter presents a comparison of the approximations for various ranges of k , P * to highlights the small-sample ranges of these variables where each of the approximations is best. |
