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Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls

Author

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  • Shu-Fei Wu

    (Department of Statistics, Tamkang University, Taipei 251301, Taiwan)

Abstract

Under heteroscedasticity, we propose one-stage multiple comparison procedures for several treatment groups compared with several control groups in terms of exponential mean lifetimes. The simultaneous confidence intervals including one-sided and two-sided confidence intervals for the difference between the mean lifetime from the i -th treatment group and the mean lifetime from the j -th control group are developed in this research. The required critical values are obtained and tabulated for the practical use of users. The experimenters can use these simultaneous confidence intervals to determine whether the treatment mean lifetimes are better than several controls or worse than several controls under a specified confidence level. Finally, one example of comparing the mean duration of remission using four drugs for treating leukemia is used for the aims of illustrations.

Suggested Citation

  • Shu-Fei Wu, 2022. "Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls," Mathematics, MDPI, vol. 10(4), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:4:p:609-:d:751143
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    References listed on IDEAS

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    1. Wu, Shu-Fei & Lin, Ying-Po & Yu, Yuh-Ru, 2010. "One-stage multiple comparisons with the control for exponential location parameters under heteroscedasticity," Computational Statistics & Data Analysis, Elsevier, vol. 54(5), pages 1372-1380, May.
    2. Vishal Maurya & Amar Nath Gill & Parminder Singh, 2013. "Multiple comparisons with a control for exponential location parameters under heteroscedasticity," Journal of Applied Statistics, Taylor & Francis Journals, vol. 40(8), pages 1817-1830, August.
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    Cited by:

    1. Francisco Ureña & Ángel García & Antonio M. Vargas, 2022. "Preface to “Applications of Partial Differential Equations in Engineering”," Mathematics, MDPI, vol. 11(1), pages 1-4, December.

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