Abstract #301090

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JSM 2003 Abstract #301090
Activity Number: 426
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #301090
Title: Minimum Moment Aberration for Nonregular Designs and Supersaturated Designs
Author(s): Hongquan Xu*+
Companies: University of California, Los Angeles
Address: Department of Statistics, Los Angeles, CA, 90095-1554,
Keywords: fractional factorial design ; generalized minimum aberration ; orthogonal array ; Pless power moment identity
Abstract:

A novel combinatorial criterion, called minimum moment aberration, is proposed for assessing the goodness of nonregular designs and supersaturated designs. The new criterion, which is to sequentially minimize the power moments of the number of coincidences among runs, is a surrogate with tremendous computational advantages for many statistically justified criteria, such as minimum G2-aberration, generalized minimum aberration and E(s^2). In addition, the minimum moment aberration is conceptually simple and convenient for theoretical development. The general theory developed here not only unifies several results, but also provides novel results on nonregular and supersaturated designs. As an application, an efficient algorithm is developed for constructing a variety of mixed-level orthogonal and nearly orthogonal arrays.

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