A modified one stage multiple comparison procedure of exponential location parameters with the control under heteroscedasticity

Shu-Fei Wu

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 7, 2356-2364

Abstract: In this paper, we present a modified one-stage multiple comparison procedure for exponential location parameters with the control under heteroscedasticity including one-sided and two-sided confidence intervals to improve the coverage probability and average confidence length than the old one. 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 minimum guarantee lifetimes. A simulation comparison is done for this modified procedure with the old one in terms of the confidence length and coverage probability. One example is given to demonstrate the proposed modified procedure.

Date: 2023
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DOI: 10.1080/03610926.2021.1952267

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