SOME RESULTS ON 2(N-K) FRACTIONAL FACTORIAL-DESIGNS AND SEARCH FOR MINIMUM ABERRATION DESIGNS

被引：61

作者：

CHEN, JH

机构：

来源：

ANNALS OF STATISTICS | 1992年 / 20卷 / 04期

关键词：

DEFINING CONTRASTS SUBGROUP; EQUIVALENCE OF DESIGNS; FRACTIONAL FACTORIAL DESIGN; INTEGER LINEAR PROGRAMMING; ISOMORPHISM; MINIMUM ABERRATION DESIGN; MINIMUM VARIANCE DESIGN; RESOLUTION; WORD-LENGTH PATTERN;

D O I：

10.1214/aos/1176348907

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper we find several interesting properties of 2n-k fractional factorial designs. An upper bound is given for the length of the longest word in the defining contrasts subgroup. We obtain minimum aberration 2n-k designs for k = 5 and any n. Furthermore, we give a method to test the equivalence of fractional factorial designs and prove that minimum aberration 2n-k designs for k less-than-or-equal-to 4 are unique.

引用

页码：2124 / 2141

页数：18

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