Nonregular two-level designs of resolution IV or more containing clear two-factor interactions

作者：Yang Guijun^*; Butler Neil A

来源：Statistics & Probability Letters, 2007, 77(5): 566-575.

DOI：10.1016/j.spl.2006.09.004

• clear two-factor interaction
• join design resolution
• two-factor interaction grid representation
• wordlength pattern

In this paper, the concepts of clear effects, alias sets and grid representations are generalized to nonregular two-level designs. Many good generalized join designs of n runs with resolution IV or more containing many clear two-factor interactions are given for n = 48 up to 192 and it being a multiple of 16. The designs constructed are shown to have concise generalized two-factor interaction grid representations. Finally, theoretical results for the necessary and sufficient conditions under which there exist nonregular two-level designs of resolution IV or more containing clear two-factor interactions are proved.

• 出版日期2007-3-1
• 单位天津财经大学