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One-stage multiple comparisons with the control for exponential location parameters under heteroscedasticity. (English) Zbl 1465.62024

Summary: Two-stage multiple comparisons with the control for location parameters of two-parameter exponential distributions under heteroscedasticity are proposed by K. Lam and C. K. Ng [Sequential Anal. 9, No. 2, 151–164 (1990; Zbl 0716.62031)]. When the additional sample for the second stage may not be available, one-stage procedures including one-sided and two-sided confidence intervals are proposed in this paper. These intervals can be used to identify a subset which includes all no-worse-than-the-control treatments in an experimental design and to identify better-than-the-control, worse-than-the-control and not-much-different-from-the-control products in agriculture, stock market, medical research, and automodels. Tables of upper limits of critical values are obtained using the technique given in [K. Lam, in: The frontiers of modern statistical inference procedures, II. Proceedings and discussions of the IPASRAS-II, the 2nd international conference on inference procedures associated with statistical ranking and selection, held in Sydney, Australia, August 1987. Columbus, OH: American Sciences Press, Inc.. 307–347 (1992; Zbl 0780.62020); Commun. Stat., Simulation Comput. 17, No. 3, 995–1006 (1988; Zbl 0695.62065)]. An example of comparing four drugs in the treatment of leukemia is given to demonstrate the proposed procedures. The relationship between the one-stage and the two-stage procedure is also discussed in this paper.

MSC:

62-08 Computational methods for problems pertaining to statistics
62F07 Statistical ranking and selection procedures
62J15 Paired and multiple comparisons; multiple testing
62N05 Reliability and life testing
Full Text: DOI

References:

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