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THE METHOD TO CONSTRUCT THE STRONG COMBINED-OPTIMAL DESIGN

Huang Pi-Hsiang (Department of Mathematics, National Kaohsiung Normal University)
Liau Pen-Hwang (Department of Mathematics, National Kaohsiung Normal University)

Publication Information

Journal of the Korean Statistical Society / v.35, no.2, 2006 , pp. 201-212 More about this Journal

Abstract

The technique of foldover is usually used by experimenters to de-alias the effects that are interesting in follow-up experiment. Employing a $2^{k-p}$ design with resolution III or higher, Li and Lin (2003) developed an algorithm and used computer programs to search its corresponding optimal foldover design for selected 16-run and 32-run experiments. Based on the minimum aberration criterion, the strong combined-optimal design, defined by Li and Lin, is the better choice of the initial design. In this article, we apply the technique of blocking to find the strong combined-optimal designs. Furthermore, we will tabulate all 16-run and 32-run strong combined-optimal designs and their corresponding core foldover plans for practical use. Some new designs that have not appeared in the other literature but constructed by the technique of blocking are also proposed in this article.

Keywords

Block; core foldover plan; estimation index; maximal design; minimum aberration;

Citations & Related Records

Reference

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