ABSTRACT

For multiple comparisons in analysis of variance, the practitioners’ handbooks generally advocate standard methods such as Bonferroni, or an F-test followed by Tukey’s honest significant difference method. These methods are known to be suboptimal compared to closed testing procedures, but improved methods can be complex in the general multigroup set-up. In this note, we argue that the case of three-groups is special: with three groups, closed testing procedures are powerful and easy to use. We describe four different closed testing procedures specifically for the three-group set-up. The choice of method should be determined by assessing which of the comparisons are considered primary and which are secondary, as dictated by subject-matter considerations. We describe how all four methods can be used with any standard software.

摘要

对于方差分析中的多重比较，从业者手册通常提倡标准方法，例如 Bonferroni 或F- 测试，然后是 Tukey 的诚实显着差异法。与封闭测试程序相比，这些方法被认为是次优的，但改进的方法在一般的多组设置中可能很复杂。在本文中，我们认为三组的情况是特殊的：使用三组，封闭式测试程序功能强大且易于使用。我们描述了四种不同的封闭测试程序，专门用于三组设置。方法的选择应通过评估哪些比较被认为是主要的，哪些是次要的，由主题考虑决定。我们描述了所有四种方法如何与任何标准软件一起使用。