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Activity Number:
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140
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Type:
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Contributed
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Date/Time:
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Monday, August 4, 2008 : 10:30 AM to 12:20 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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| Abstract - #300512 |
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Title:
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Equivalence of Symmetric Factorial Experiments Having Both Qualitative and Quantitative Factors
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Author(s):
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Tena I. Katsaounis*+ and Angela M. Dean+
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Companies:
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The Ohio State University and The Ohio State University
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Address:
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Bromfield 117-3A, Mansfield , OH, 44906, CH 323, Columbus, OH, 43210,
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Keywords:
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combinatorial equivalence ; geometric equivalence ; symmetric factorial design ; experimental design ; design equivalence
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Abstract:
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The problem of equivalence of symmetric factorial designs with both qualitative and quantitative factors is considered. Two fractional factorial designs with qualitative and quantitative factors are said to be equivalent if one can be obtained from the other by reordering the runs, relabeling the factors of the same type, relabeling the levels of the qualitative factors and reversing the levels of the quantitative factors. A necessary and sufficient criterion for detecting equivalence or nonequivalence of such factorial designs is described. Some screening criteria of nonequivalence are also discussed. Results can be extended to designs with factors having different number of levels.
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