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One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity

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  • Shu-Fei Wu

    (Department of Statistics, Tamkang University, Tamsui, New Taipei City 251301, Taiwan)

Abstract

When the additional sample for the second stage may not be available, one-stage multiple comparisons for exponential median lifetimes with the control under heteroscedasticity including one-sided and two-sided confidence intervals are proposed in this paper since the median is a more robust measure of central tendency compared to the mean. These intervals can be used to identify treatment populations that are better than the control or worse than the control in terms of median lifetimes in agriculture, stock market, pharmaceutical industries. Tables of critical values are obtained for practical use. An example of comparing the survival days for four categories of lung cancer in a standard chemotherapeutic agent is given to demonstrate the proposed procedures.

Suggested Citation

  • Shu-Fei Wu, 2020. "One-Stage Multiple Comparisons with the Control for Exponential Median Lifetimes under Heteroscedasticity," Mathematics, MDPI, vol. 8(9), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1405-:d:402289
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    References listed on IDEAS

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    1. Maurya, Vishal & Goyal, Anju & Gill, Amar Nath, 2011. "Simultaneous testing for the successive differences of exponential location parameters under heteroscedasticity," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1507-1517, October.
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