Abstract #300623

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JSM 2003 Abstract #300623
Activity Number: 426
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #300623
Title: Optimal Foldover Plans for Two-Level Nonregular Orthogonal Designs
Author(s): William Li*+ and Dennis K. J. Lin and Kenny Ye
Companies: University of Minnesota and Pennsylvania State University and State University of NY at Stonybrook
Address: 321 19th Ave. S, Minneapolis, MN, 55455-0438,
Keywords: foldover design ; extended word length ; generalized resolution ; orthogonal design
Abstract:

This article constructs optimal foldover plans for nonregular designs. By using the indicator function, we define words with fractional lengths. The extended word length pattern is then used to select among nonregular foldover designs. Some general properties of foldover designs are obtained using the indicator function. We prove that the full-foldover plan that reverses the signs of all factors is optimal for all 12-run two-level orthogonal designs. The optimal foldover plans for all 16-run (regular and nonregular) orthogonal designs are constructed and tabulated for practical use. Optimal foldover plans for other two-level orthogonal designs can be constructed in a similar manner.

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