Combining the Advantages of One-Sided and Two-Sided Test Procedures for Comparing Several Treatment Effects
本文提出一种新的置信区间方法，在检测有序处理差异时保持单侧学生化极差检验的灵敏度，同时当样本均值相距较远时提供有限的双侧置信区间。
Abstract We consider the one-way layout for comparing k treatment effects μ i , 1 ≤ i ≤ k. Hayter earlier proposed a one-sided studentized range test (OSRT) for testing the null hypothesis H μO: μ1 = μ2 = ··· = μ k against the simple ordered alternative HA : μ1 ≤ μ2 ≤ ··· ≤ μ k with at least one strict inequality. The OSRT gives a set of simultaneous confidence intervals for all ordered pairwise differences μ j - μ i , i < j. These intervals are one-sided and have infinite upper bounds. The confidence interval procedure proposed in this article maintains the sensitivity of the OSRT in detecting the ordered differences μ j - μ i > 0, but provides two-sided finite confidence intervals if the sample averages are all far apart. Key Words: Analysis of varianceDirectional errorsExperimentwise error rateMultiple comparisonsOrder-restricted inferenceSimultaneous inference