One stage multiple comparisons with the average for exponential location parameters under heteroscedasticity

doi:10.1016/j.csda.2013.07.005

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Title:	One stage multiple comparisons with the average for exponential location parameters under heteroscedasticity
Authors:	Wu, Shu-Fei
Contributors:	淡江大學統計學系
Keywords:	One-stage procedure;Two-stage procedure
Date:	2013-12-01
Issue Date:	2014-03-18 12:06:22 (UTC+8)
Publisher:	Amsterdam: Elsevier BV
Abstract:	Two-stage multiple comparisons with the average for location parameters of two-parameter exponential distributions under heteroscedasticity are proposed by Wu and Wu [Wu, S.F., Wu, C.C., 2005. Two stage multiple comparisons with the average for exponential location parameters under heteroscedasticity. Journal of Statistical Planning and Inference 134, 392–408]. 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-average treatments in an experimental design and to identify better-than-the-average, worse-than-the-average and not-much-different-from-the-average products in agriculture, the stock market, pharmaceutical industries. Tables of upper limits of critical values are obtained using the technique given in Lam [Lam, K., 1987. Subset selection of normal populations under heteroscedasticity. In: Proceedings of the Second International Advanced Seminar/Workshop on Inference Procedures Associated with Statistical Ranking and Selection. Sydney, Australia. August 1987. Lam, K., 1988. An improved two-stage selection procedure. Communications in Statistics—Simulation and Computation 17 (3), 995–1006]. 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 procedures is also elaborated in this paper.
Relation:	Computational Statistics & Data Analysis 68, pp.352-360
DOI:	10.1016/j.csda.2013.07.005
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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