二水平最优列扩展设计的构造及性质

Construction and Properties of Two-Level Optimal Column Augmented Designs

为了更灵活地构造列扩展设计,采用一种不需要计算机搜索,只需从列数较小的初始设计出发,按照一定规则进行变换的方法,构造了二水平最优列扩展设计,并在E(s^(2))准则、广义最小低阶混杂准则和最小矩混杂准则下,讨论了列扩展设计与初始设计之间的关系.

In order to construct augmented designs more flexibly,the author uses a method without computer search which begins with an initial design with less number of columns and transforms by some rules to construct two-level optimal column augmented designs.In addition,the relationship between the column augmented designs and their initial designs is discussed under the E(s^(2))criterion,the generalized minimum aberration criterion and the minimum moment aberration criterion.