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有序备择下的非参数协方差分析AI 解读

SUMMARY The problem of comparing k populations with respect to a univariate response variable Y against an ordered alternative is considered when a covariate X is taken into account using the matched-observations method of Quade (1982). Two test statistics are considered: one is Quade's statistic generalized for arbitrary k and the second is the Terpstra-Jonckheere statistic generalized for grouped data. Some simulations are carried out to study their small sample…

不平衡设计中多重比较 T 方法扩展的改进AI 解读

Some improvements and clarifications of extended T-type procedures of multiple comparisons for unbalanced designs are given. In view of the general discussion, we obtain a procedure particularly tailored for one-way layouts with only two different sample sizes. In all such designs, the given procedure yields confidence intervals which are not longer than those obtained by Spjøtvoll and Stoline's (1973) method for all pairwise comparisons and are strictly shorter for some of…

双变量检验与双重单变量检验的功效比较AI 解读

Summary The paper describes a comparative study of the power of four bivariate tests of linear hypotheses and of a “twofold univariate” test equivalent to applying separate F-tests to the two variables. The powers of the multivariate tests are estimated by Monte Carlo methods, and that of the twofold univariate test is derived by a method using characteristic functions. Graphs describing the powers are given, leading to practical recommendations in terms of parameters which…