完全区组设计下基于Aligned秩的有方向检验问题

本文基于Aligned秩给出了用于解完全区组设计有方向检验问题的, 我们称之为$C$-检验的检验方法. 本文分别对每个试验单元仅有一个观测值以及等重复观测值和不等重复观测值各种情形下的$C$检验进行了讨论, 并在原假设$H_0$成立时计算了上述各种情形下$C$检验统计量的数学期望和方差, 且证明了$C$检验统计量的渐近分布为正态分布.

The Ordered Alternatives Test Problem based on Aligned Ranks in Complete Block Design

In this paper, based on the Aligned Ranks a test named $C$ test to solve theordered alternatives test problem is derived, the property of the $C$ test in complete block design with each experiment unit having only one observation, equally and unequally repeated observations are discussed respectively, the expected value and variance of the $C$ statistic are given when the null hypothesis is true, the asymptotic normality of the $C$ statistic is also proven.