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

• 成果类型: Article
• 署名作者: CHEN, JH
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1176348907
• 发表日期: 1992
• 页码: 2124-2141
• 关键词: 2k-p designs

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.