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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/123302


    Title: Multiple comparison procedures for exponential mean lifetimes compared with several controls
    Authors: Wu, Shu-Fei
    Keywords: one-stage procedure;multiple comparison with the control;multiple comparison with several controls;exponential distribution
    Date: 2022-02-16
    Issue Date: 2023-04-28 17:34:00 (UTC+8)
    Publisher: MDPI AG
    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.
    Relation: Mathematics 10(4), 609
    DOI: 10.3390/math10040609
    Appears in Collections:[統計學系暨研究所] 期刊論文

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