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

作　　者：张诗娴 田杰中 柏启明 李洪毅[1] ZHANG Shixian;TIAN Jiezhong;BAI Qiming;LI Hongyi(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2023年第3期1-7,共7页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(12161040,11701213,11961027);湖南省自然科学基金资助项目(2021JJ30550);吉首大学科研项目(JDY22008)。

摘　　要：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.

关 键 词：列扩展设计 E(s^(2))准则 广义最小低阶混杂准则 最小矩混杂准则 

分 类 号：O212.6[理学—概率论与数理统计]