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Activity Number:
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280
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Type:
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Topic Contributed
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Date/Time:
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Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
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Sponsor:
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WNAR
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| Abstract - #308529 |
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Title:
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Some Results on Two-Level Nonregular Designs Constructed from Quaternary Codes
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Author(s):
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Kin Hing (Frederick) Phoa*+ and Hongquan Xu
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Companies:
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University of California, Los Angeles and University of California, Los Angeles
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Address:
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Department of Statistics, Los Angeles, CA, 90095-1554,
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Keywords:
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Nonregular Design ; Quaternary Linear Code ; Generalized Minimum Aberration ; Generalized Resolution ; Aliasing Indexes
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Abstract:
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The research of developing a general methodology for the construction of optimal nonregular designs has been very active in the last 10 years. Recent research by Xu and Wong (2006) suggests a new construction method through quaternary linear codes. In this talk, we explore some properties and uses of quaternary codes towards the construction of nonregular designs. From these properties, we find some theoretic results and derive some applicable formulas to generate the optimal 2^2(n-1) and 2^2(n-2) designs, with respect to the generalized minimum aberration and generalized maximum resolution criteria. The generalization to 2^2(n-k) designs is suggested and some illustrative examples on the applications of these results are presented.
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