A comparison of the performances of procedures for selecting the normal population having the largest mean when the populations have a common unknown variance
作者:
Robert E. Bechhofer,
David M. Goldsman,
Charles W. Dunnett,
Mark Hartmann,
期刊:
Communications in Statistics - Simulation and Computation
(Taylor Available online 1990)
卷期:
Volume 19,
issue 3
页码: 971-1006
ISSN:0361-0918
年代: 1990
DOI:10.1080/03610919008812901
出版商: Marcel Dekker, Inc.
关键词: Normal means selection: indifference-zone approach: two-stage and multistage open procedures without and with elimination;achieved P(CS);expected number of stages and expected total number of observations;Monte Carlo sampling
数据来源: Taylor
摘要:
We study the performances of the two-stage non-eliminating procedure of Bechhofer, Dunnett and Sobel (1954), the two-stage eliminating procedure of Gupta and Kim (1984) and the multi-stage eliminating procedure of Paulson (1964) as modified by Hartmann (1990) for selecting the normal population which has the largest mean when the common variance is unknown. Constants to implement the procedures are provided. All of these procedures are open and guarantee the indifference-zone probability require-ment of Bechhofer (1954). The following performance characteristics are estimated by Monte Carlo sampling: the achieved probability of a correct selection, the expected number of vector-observations and the expected total number of observations to termination of experimentation. The critical role of the common initial sample size per population is discussed. Guidance is provided as to which procedure to use in different environments.
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