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Activity Number:
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422
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Type:
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Contributed
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Date/Time:
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Wednesday, August 1, 2007 : 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 - #308188 |
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Title:
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Geometric Equivalence of Symmetric Factorial Designs
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Author(s):
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Tena Katsaounis*+ and Angela Dean and Cheryl Dingus
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Companies:
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The Ohio State University and The Ohio State University and Battelle
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Address:
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1185 Yorkwood Rd, Mansfield, OH, 44907,
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Keywords:
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geometric equivalence ; symmetric factorial design ; experimental design
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Abstract:
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In this talk, the problem of geometric equivalence of symmetric factorial experiments is considered. Two fractional factorial symmetric designs with quantitative factors are said to be geometrically equivalent if one can be obtained from the other by reordering the runs, relabeling the factors and reversing the symbols of factors levels. Existing criteria for detecting geometric equivalence or nonequivalence of symmetric factorial designs are described and evaluated via computer algorithms. Some new necessary and sufficient criteria of equivalence are presented. All results generalize to designs with factors having different number of levels.
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