Simultaneous Inference with Respect to the Best Treatment in Block Designs
针对随机完全区组设计中仅关注未知最佳处理及其比较的问题,提出了基于样本均值和符号秩的三种推断方法,相比全配对多重比较有显著优势。
Abstract In many practical situations, only inference concerning the unknown best treatment and comparisons of the individual treatments with respect to the best treatment are of primary interest. We give an explicit formulation of this problem in the framework of randomized complete block designs. A procedure based on sample means and two procedures based on signed ranks are proposed. It is seen that, for the problem considered, these procedures have a substantial advantage over what can be deduced from all-pairwise multiple comparisons procedures.