A Distribution-Free Rank Test for Ordered Alternatives in Randomized Complete Block Designs
针对四个或更少处理的随机完全区组和重复测量设计，提出一种无分布秩检验来检测有序备择，其零分布已知且易得，并通过蒙特卡洛研究展示了良好的中等样本性质。
Abstract A distribution-free rank test for detecting ordered alternatives in randomized complete block designs and repeated measures designs is proposed for four or fewer treatments. The null hypothesis distribution of the statistic is well-known and readily available to the user. The article establishes the asymptotic normality of an appropriately standardized form of the statistic and the consistency of the test. Asymptotic relative efficiency comparisons are made with Jonckheere's test, Page's L, Hollander's test, and a normal theory competitor. The authors illustrate the good intermediate sample size characteristics of the test via a Monte Carlo study.