Multiple Comparisons and Type III Errors
在多重比较中，研究者常更关心总体排序而非假设检验。本文提出一种比Tukey法更高效的控制第三类错误概率的方法，并提供了实施所需的表格。
Abstract In multiple comparison procedures often the ordering of populations is of more interest than the testing of hypotheses. In such a situation it is important to control the probability of a Type III error (introduced by Harter 1957 to indicate that one population is concluded to be better than another when actually it is worse). The studentized differences between means may be used to give ordering conclusions on all pairs of populations under consideration. Although this may be done by setting up confidence intervals using Tukey's honest significant difference, a more efficient method (when the confidence intervals themselves are not of interest) is suggested here, and tables are provided for its implementation.