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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 - #305651 |
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Title:
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(M,S)-Optimality in Selecting Factorial Designs
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Author(s):
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Xianggui Qu*+ and Robert Kushler and Theophilus Ogunyemi
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Companies:
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Oakland University and Oakland University and Oakland University
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Address:
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Department of Math and Statistics, Rochester, MI, 48309,
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Keywords:
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fractional factorial designs ; orthogonal arrays ; minimum aberration ; (m,s)-optimality
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Abstract:
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Use of the (M,S) criterion to select and classify factorial designs is proposed and studied. The criterion is easy to deal with computationally and independent of the choice of treatment contrasts. It can be applied to two-level designs and multilevel symmetrical and asymmetrical designs. An important connection between the (M,S) and minimum aberration criteria is derived for regular fractional factorial designs. Relations between the (M,S) criterion and generalized minimum aberration criteria on nonregular designs also are discussed. The (M,S) criterion is then applied to study the projective properties of nonregular designs.
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