Tukey's multiple comparisons procedure in imbalanced one-way ANOVA : Evaluation of Tukey-Kramer's approximate method based on the exact calculation

DOI
  • Yoshida Michihiro
    New Product Planning & Development Division, Takeda Chemical Industries, Ltd.

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Other Title
  • 不等標本サイズの場合のTukeyの多重比較法 : 精密計算に基づくTukey-Kramer法の評価

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Description

In an imbalanced one-way ANOVA model with homogeneous variance, we examine the performances of Tukey's multiple comparisons procedure. The efficiency of Tukey-Kramer's approximate method to the exact method is evaluated based on some numerical results, which are focused on both of the critical value and the p-value. When the sample size is severely imbalanced, we recommend to use the exact calculation since Tukey-Kramer's method is too conservative in such a case. We conclude that Tukey-Kramer's method is a good approximation for moderately imbalanced cases that are frequently encountered in many practical applications.

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Details 詳細情報について

  • CRID
    1390282679357459456
  • NII Article ID
    110001239432
  • DOI
    10.20551/jscswabun.2.1_17
  • ISSN
    21899789
    09148930
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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