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An effective algorithm for generation of factorial designs with generalized minimum aberration |
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| Authors: | Kai-Tai Fang Aijun Zhang Runze Li |
| Affiliation: | aBNU - HKBU United International College, Zhuhai Campus of Beijing Normal University, Jinfeng Road, Zhuhai, 519085, China;bDepartment of Statistics, University of Michigan, Ann Arbor, MI 48105, USA;cDepartment Statistics, Penn State University, University Park, PA 16802, USA |
| Abstract: | Fractional factorial designs are popular and widely used for industrial experiments. Generalized minimum aberration is an important criterion recently proposed for both regular and non-regular designs. This paper provides a formal optimization treatment on optimal designs with generalized minimum aberration. New lower bounds and optimality results are developed for resolution-III designs. Based on these results, an effective computer search algorithm is provided for sub-design selection, and new optimal designs are reported. |
| Keywords: | Fractional factorial design Generalized minimum aberration Lagrange analysis Sub-design selection |
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