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Activity Number:
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421
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Type:
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Invited
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Date/Time:
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Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Quality and Productivity
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| Abstract - #300115 |
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Title:
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Optimal Foldover Plans for Two-level Regular and Nonregular Orthogonal Designs
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Author(s):
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William Li*+ and Dennis K.J. Lin and Kenny Q. Ye
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Companies:
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University of Minnesota and Pennsylvania State University and SUNY, Stony Brook
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Address:
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Operations and Management Sci. Dept., Minneapolis, MN, 55455,
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Keywords:
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fractional length word ; full foldover ; generalized word length pattern ; optimal foldover
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Abstract:
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We consider optimal foldover plans for both regular and nonregular designs. For regular designs, the minimum aberration criterion is used for selecting foldover designs. Most of the optimal foldover plans are different from the traditional plans that involve reversing the signs of one or all columns. For nonregular designs, the generalized aberration criterion is used. 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. We prove that the full-foldover plan that reverses the signs of all factors is optimal for all 12-run and 20-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. We introduce a new class of designs called combined-optimal designs, which minimize the aberration criterion of the combined design of the initial and foldover designs.
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