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A better one stage multiple comparison procedure of several treatment mean lifetimes with the control for exponential distributions under heteroscedasticity

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  • Shu-Fei Wu

Abstract

In this article, we present a new one-stage multiple comparison procedure for exponential mean lifetimes with the control under heteroscedasticity including one-sided and two-sided confidence intervals by improving the coverage probability and average confidence length compared with the old one. Users can use these simultaneous confidence intervals 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. In the end, one example is used to demonstrate the proposed procedure.

Suggested Citation

  • Shu-Fei Wu, 2024. "A better one stage multiple comparison procedure of several treatment mean lifetimes with the control for exponential distributions under heteroscedasticity," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(21), pages 7651-7658, November.
  • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:21:p:7651-7658
    DOI: 10.1080/03610926.2023.2271106
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