Abstract Details
Activity Number:
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416
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Type:
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Contributed
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Date/Time:
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Tuesday, August 5, 2014 : 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 #311094
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Title:
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On Equivalence of Fractional Factorial Designs Based on Singular Value Decomposition
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Author(s):
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Tena Katsaounis*+
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Companies:
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Ohio State University
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Keywords:
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Factorial design ;
Combinatorial equivalence ;
Design equivalence ;
Design isomorphism ;
Singular value decomposition
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Abstract:
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The singular value decomposition of a real matrix always exists and is essentially unique. Based on the singular value decomposition of the design matrices of two general 2-level fractional factorial designs, new necessary and sufficient conditions for the determination of combinatorial equivalence or non-equivalence of the corresponding designs are derived. Equivalent fractional factorial designs have identical statistical properties for estimation of factorial contrasts and for model fitting. Non-equivalent designs, however, may have the same statistical properties under one particular model but different properties under a different model. Results extend to designs with factors at larger number of levels.
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Authors who are presenting talks have a * after their name.
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