A modified minimum aberration criterion for selecting regular 2^m−k fractional factorial designs

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• 作者：Jacroux ; Mike
• 关键词：primary 62K15 ; secondary 62K05 ; Resolution ; Minimum aberration ; Maximal rank ; Word length pattern
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2004
• 期刊代码：36_03783758
• 类别：mt
• 出版时间：November 1, 2004
• 卷：126
• 期：1
• 页码：325-336
• 文件大小：218 K

摘要

In this paper, we give a modification of the well-known minimum aberration (MA) criterion for finding “good” regular 2^m−k fractional factorial designs. In particular, for given values of m and k, we consider a two-stage criterion where in stage one all regular 2^m−k designs that yield the maximal number of contrasts for estimating main effects and two-factor interactions are determined and then within this subclass, the MA design is found. Examples are given to compare and contrast the MA criterion with the modified MA criterion and then tables are obtained for selected values of m and k where the best designs under both criteria are given.