Exact Simultaneous Confidence Intervals for Multiple Comparisons Among Three or Four Mean Values
提出一种在三或四个组间构造精确同时置信区间的方法，用于评估Tukey-Kramer区间在非平衡单因素方差分析中的保守性。
Abstract A procedure for constructing exact simultaneous confidence intervals for a finite set of multiple comparisons among three or four groups is presented. These confidence intervals are hyperbolic and based on an unbiased estimator of the mean values having a normal distribution with covariance matrix σ2V, where V is an arbitrary known positive definite matrix. This procedure is used to study the amount of conservativeness of Tukey—Kramer intervals for pairwise comparisons in an unbalanced one-way analysis of variance design. Key Words: General linear modelOne-way ANOVA designPairwise comparisonsTukey—Kramer intervalsUnbalanced ANOVA design