分区组设计的一般最小低阶混杂准则的某些结果(英文)

Some Results on General Minimum Lower Order Confounding Criterion for Blocked Designs

一般最小低阶混杂准则是一个判断分区组设计好坏的新的最优性准则,一般最小低阶混杂准则下的最优分区组设计的构造是一个重要的问题.对一个分区组设计,本文给出了它的与饱和设计Hq中的某个列γ混杂的三阶处理交互作用的个数的表达式,这些结果在构造一般最小低阶混杂准则下的最优分区组设计时是有用的.

The general minimum lower order confounding（GMC for short） criterion is a new optimality criterion for assessing the goodness of blocked designs.Construction of optimal blocked designs under the GMC criterion is an important issue.For a blocked design,the paper gives the expression of the number of its third order treatment interactions aliased with some column γ in the saturated design Hq.The results are useful in constructing the optimal blocked designs under the GMC criterion.