Pairwise Multiple Comparisons in the Homogeneous Variance, Unequal Sample Size Case
通过计算机模拟研究了六种两两多重比较方法在样本量不等时的错误率,发现Tukey-Kramer方法表现稳健,推荐在实际中使用。
Abstract The effect of unequal ni on the error rates of six procedures for pair-wise multiple comparisons beteen k treatment means with homogeneous variances was studied by computer simulation. A commonly used method, attributed to Kramer (1956) but suggested also by Tukey (1953), was found to have error rates less than the nominal value α for several patterns of inequality in the sample sizes, at least when the variations in ni were moderately large. A method that substitutes the harmonic mean sample size for n in Tukey's T method had excessively high error rates. Other methods proposed more recently in the literature were conservative relative to the Tukey-Kramer method. Thus, the Tukey-Kramer method is recommended for use in the unequal sample size, homogeneous variance situation.