A Generalized Tukey Conjecture for Multiple Comparisons Among Mean Vectors
研究了多元正态分布中均值向量两两差异的多重比较问题，提出了多元Tukey-Kramer方法，并证明了三个相关均值向量情形下广义Tukey猜想的保守性。
In this article the Tukey-Kramer procedure for multiple comparisons of pairwise differences of mean vectors in multivariate normal distributions is considered. A multivariate version of the Tukey-Kramer procedure is presented, and a generalized Tukey conjecture of the conservativeness of the simultaneous confidence intervals for all pairwise comparisons by this procedure is affirmatively proved in the case of three correlated mean vectors. Some properties of the multivariate Tukey-Kramer procedure are also presented, and simulation results for some selected parameters are given.