3水平因析设计的某些结果(英文)  

Some Results on 3-level Factorial Designs

作　　者：赵胜利[1] 刘艳丽[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2008年第1期1-5,共5页Journal of Qufu Normal University(Natural Science)

基　　金：This work was supported by the National Natural Science Foundation of China(10571093,10671099,10771123);the Research Foundation for Doctor Programma(20050055038);the Natural Science Foundation of Shandong Province(Q2007A05);the Scien-tific Research Start-up Foundation of QFNU(bsqd07028)

摘　　要：推广了J特征的定义,并证明了一个3水平部分因析设计由它的J特征唯一决定.主要结果是一个显式,它把设计点构成的集合与设计的J特征联系起来.通过这个公式,给出了G2最小低阶混杂的投影证明.This paper generalizes the definition of J-characteristics and shows that a 3-level factorial design is uniquely determined by its J-characteristics. The main result is an explicit formula which relates the set of design points to that of J-characteristics. Through this formula, projection justification of minimum G2-aberration is established.

关 键 词：部分因析设计 G2最小低阶混杂 J特征 

分 类 号：O212.6[理学—概率论与数理统计]