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含交互项协方差分析模型中有序均值的估计与推断AI 解读

When interactions are identified in analysis of covariance models it becomes important to identify values of the covariates for which there are significant differences or, more generally, significant contrasts among the group mean responses. Inferential procedures that incorporate a priori order restrictions among the group mean responses would be expected to be superior to those that ignore this information. In this paper we focus on analysis of covariance models with…

检验顺序约束均值齐性的简便方法AI 解读

The likelihood-ratio test for equality of partially ordered means, first proposed by Bartholomew, is known to possess power characteristics that are generally superior to those of competing procedures. A limitation of this test, however, is that the null distribution of the test statistic is heavily dependent on both the specific form of the order restriction and the group sample sizes. It is not readily available for most orderings, especially when the group sample sizes…