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

Abstract

ABSTRACTIn 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, 1992), An example of comparing four drugs in the treatment of leukemia is given to demonstrate the proposed procedures.