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Activity Number:
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34
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Type:
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Contributed
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Date/Time:
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Sunday, August 6, 2006 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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| Abstract - #307262 |
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Title:
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Optimal Fold-over Designs for Three-Level Fractional Factorial Designs
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Author(s):
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Hong Zhou*+ and Manohar L. Aggarwal and Lih Yuan Deng and Dennis K. J. Lin
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Companies:
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University of Memphis and University of Memphis and University of Memphis and The Pennsylvania State University
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Address:
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600 Patterson Street, Apt. 6, MEMPHIS, TN, 38111,
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Keywords:
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optimal design ; orthogonality ; fractional factorial design ; optimality criteria ; generalized minimum aberration
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Abstract:
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Fold-over design is standard follow-up experiment commonly used in the practices. Optimal fold-over plans for two-level regular fractional factorial designs were discussed by Li and Lin [2003]. A fold-over design is a design, which combines the initial design and a fold-over plan. A fold-over plan is reversing the signs of one or more columns of the initial design. We extend their ideas into fold-over designs for three-level by adding different fold-over sets to the initial design. The combined designs are the optimal regular designs based on resolution and minimum aberration criteria (Fries and Hunter [1980]). The optimal fold-over designs increases resolution or de-alias the main effect and its interactions. Tables of such fold-over designs are given and some properties are discussed.
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