Multiple Comparison Procedures for Exponential Mean Lifetimes Compared with Several Controls

Shu-Fei Wu
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Shu-Fei Wu: Department of Statistics, Tamkang University, Taipei 251301, Taiwan

Mathematics, 2022, vol. 10, issue 4, 1-10

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.

Keywords: one-stage procedure; multiple comparison with the control; multiple comparison with several controls; exponential distribution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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