SOME THEORY FOR CONSTRUCTING GENERAL MINIMUM LOWER ORDER CONFOUNDING DESIGNS

作者：Chen Jie^*; Liu Min Qian

来源：Statistica Sinica, 2011, 21(4): 1541-1555.

DOI：10.5705/ss.2008.314

• Alias set
• general minimum lower order confounding
• maximal design
• minimum aberration

General minimum lower order confounding (CMC) is a newly proposed design criterion that aims at keeping the lower order effects unaliased with one another to the extent possible. This paper shows that for 5N/16 < n <= N/2, 9N/32 < n <= 5N/16, and 17N/64 < 71 <= 9N/32, all GMC designs with N runs and n two-level factors are projections of maximal designs with N/2, 5N/16, and 9N/32 factors, respectively. Furthermore, it provides immediate approaches to constructing these CIVIC designs from the respective maximal designs; these approaches can produce many more GMC designs than the existing computer search method.

• 出版日期2011-10
• 单位南开大学