2(n-l) designs with weak minimum aberration

• 成果类型: Article
• 署名作者: Chen, HG; Hedayat, AS
• 署名单位: University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• 发表日期: 1996
• 页码: 2536-2548
• 关键词: fractional factorial-designs

摘要

Since not all 2(n-l) fractional factorial designs with maximum resolution are equally good, Fries and Hunter introduced the minimum aberration criterion for selecting good 2(n-l) fractional factorial designs with the same resolution. We modify the concept of minimum aberration and define weak minimum aberration and show the usefulness of this new design concept. Using some techniques from finite geometry, we construct 2(n-l) fractional factorial designs of resolution III with weak minimum aberration. Further, several families of 2(n-l) fractional factorial designs of resolution III and IV with minimum aberration are obtained.