The aim of this study is to propose stepwise multiple comparison procedures for comparing sizes of normal means. Specifically, we construct Tukey-Welsh's step down procedure and a closed testing procedure called Ryan-Einot-Gabriel-Welsch's procedure based on Imada (2020)'s single step procedure and compare them in terms of numerical results regarding power of the test. Furthermore, we illustrate our procedures by an example.
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Tsunehisa Imada (2022) studied this question.
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