One stage multiple comparisons of k-1 treatment mean lifetimes with the control for exponential distributions under heteroscedasticity.

doi:10.1080/03610918.2017.1366515

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Title:	One stage multiple comparisons of k-1 treatment mean lifetimes with the control for exponential distributions under heteroscedasticity.
Authors:	Shu-Fei Wu
Keywords:	Multiple comparison procedures with the control;Mean lifetimes;One-stage procedure;Ranking and selection;Simulation
Date:	2017-11-07
Issue Date:	2019-06-15 12:10:24 (UTC+8)
Abstract:	In this paper, we present one-stage multiple comparisons for exponential mean lifetimes with the control under heteroscedasticity including one-sided and two-sided confidence intervals. 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, pharmaceutical industries in terms of the mean lifetimes. Tables of critical values are obtained using the technique given in (Lam, 1988 Lam, K. (1988). An improved two-stage selection procedure. Communications in Statistics – Simulation and Computation 17 (3):995–1006. [Google Scholar], 1992 Lam, K. (1992). Subset selection of normal populations under heteroscedasticity. IPASRAS-II proceedings and discussions of the second international conference on inference procedures associated with statistal ranking and selection on. The frontiers of modern statistical inference procedures II:307–344. [Google Scholar]), An example of comparing four drugs in the treatment of leukemia is given to demonstrate the proposed procedures.
Relation:	Communications in Statistics - Simulation and Computation 47(10), p.2968-2978
DOI:	10.1080/03610918.2017.1366515
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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