A Monte Carlo simulation was conducted to compare five, pairwise multiple comparison procedures. The number of means varied from 4 to 6 and the sample size ratio varied from 1 to 60. Procedures were evaluated on the basis of Type I errors, any-pair power and all-pairs power. Four procedures were shown to be conservative, while the fifth provided adequate control of Type I errors only for restricted values of sample size ratios. No procedure was found to be uniformly most powerful. The Tukey-Kramer procedure was found to provide the best any-pair power provided it is applied without requiring a significant overall F test. In most cases, the Hayter-Fisher modification of the Tukey-Kramer was found to provide very good any-pair power and to be uniformly more powerful than the Tukey-Kramer when a significant overall F test is required. A partition-based version of Peritz's method usually provided the greatest all-pairs power. A modification of the Shaffer-Welsch was found to be useful in certain conditions.

中文翻译：

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在方差相等和样本大小不相等的情况下，成对比较的功效。

进行了蒙特卡洛模拟以比较五个成对的多重比较程序。均值数从4变到6，样本量比率从1变到60。根据I类错误，任意对功效和所有对功效对程序进行评估。四种方法被证明是保守的，而第五种方法仅对样本量比率的限制值提供了对I型错误的充分控制。没有发现任何程序统一最有效。发现Tukey-Kramer程序可提供最佳的成对功率，只要应用该程序就无需进行显着的整体F测试。在大多数情况下，发现Tukey-Kramer的Hayter-Fisher改进型可以提供非常好的任意对功率，并且在需要进行显着的总体F测试时比Tukey-Kramer更强大。佩里兹方法的基于分区的版本通常提供最大的全对功率。发现在某些条件下对Shaffer-Welsch的修改是有用的。