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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 - #306176 |
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Title:
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Algorithms for Generating Experimental Designs for Irregularly-Shaped Regions
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Author(s):
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Greg Piepel*+ and Nam-Ky Nguyen
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Companies:
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Battelle-PNNL and University of New England
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Address:
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Statistical Sciences K6 08, Richland, WA, 99352,
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Keywords:
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d-optimal ; Fedorov exchange algorithm ; genetic algorithm ; g-optimal ; mixture experiment design ; optimal design
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Abstract:
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This presentation focuses on the construction of computer-generated designs on irregularly-shaped regions. Overviews are given of the Fedorov exchange algorithm (FEA) and other exchange algorithms for constructing D-optimal designs. A faster implementation of the FEA is presented, which is referred to as fast-FEA (denoted FFEA). The FFEA was applied to construct D-optimal designs for several published examples with constrained experimental regions. Designs resulting from the FFEA are more D-efficient than published designs, and provide benchmarks for future comparisons of design construction algorithms. The construction of G-optimal designs for constrained regions is also discussed and illustrated with a published example.
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