On construction of optimal mixed-level supersaturated designs
نویسندگان
چکیده
منابع مشابه
Construction of Optimal Multi-Level Supersaturated Designs
A supersaturated design is a design whose run size is not large enough for estimating all the main effects. The goodness of multi-level supersaturated designs can be judged by the generalized minimum aberration criterion proposed by Xu and Wu [Ann. Statist. 29 (2001) 1066–1077]. A new lower bound is derived and general construction methods are proposed for multi-level supersaturated designs. In...
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Article history: Received 12 July 2007 Received in revised form 10 March 2008 Accepted 12 March 2008 Available online 18 March 2008 MSC: primary 62K15 secondary 62K05
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Supersaturated design (SSD) has received much interest because of its potential in factor screening experiments. Most studies focus on the construction and analysis of symmetrical SSDs. This paper considers the construction of asymmetrical (or mixed-level) SSDs. A new construction method, called the substitution method, for E(fNOD ) optimal and nearly-optimal SSDs is proposed. The basic idea of...
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Supersaturated design is an important aspect of experimental design. Several properties of supersaturated designs have been obtained that enable supersaturated design to be constructed while maintaining low dependency over all pairs of columns. This paper presents generalized theorems on the optimality of supersaturated designs. Mixed-level supersaturated designs are generated using a construct...
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ژورنال
عنوان ژورنال: The Annals of Statistics
سال: 2011
ISSN: 0090-5364
DOI: 10.1214/11-aos877