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Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average

Author

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  • Shu-Fei Wu

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

Abstract

In this paper, the design constant is determined based on a criterion of probability of correct detection for a given deviation of k location parameters from the average being at least γ for the two-stage multiple comparisons for location parameters of exponential distributions when scale parameters are unequal. All required values for determining the design constant and then the total sample size for a two-stage procedure are listed in tables for practical use. For illustrative purposes, two examples are given to demonstrate the sample size determination for this two-stage procedure.

Suggested Citation

  • Shu-Fei Wu, 2023. "Sample Size Determination for Two-Stage Multiple Comparisons for Exponential Location Parameters with the Average," Mathematics, MDPI, vol. 11(2), pages 1-11, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:441-:d:1035537
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    References listed on IDEAS

    as
    1. Wu, Shu-Fei & Lin, Ying-Po, 2016. "Computational testing algorithmic procedure of assessment for lifetime performance index of products with one-parameter exponential distribution under progressive type I interval censoring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 120(C), pages 79-90.
    2. Maurya, Vishal & Gill, A.N. & Goyal, Aarti, 2017. "A new two-stage multiple comparison procedure for comparing several exponential populations with a control under heteroscedasticity," Computational Statistics & Data Analysis, Elsevier, vol. 108(C), pages 1-11.
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