Optimal mixed-level k-circulant supersaturated designs
نویسندگان
چکیده
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
منابع مشابه
An algorithm for constructing mixed-level k-circulant supersaturated designs
Supersaturated design (SSD) has received much interest because of its potential in factor screening experiments. Recently, Chen and Liu [Chen, J., Liu, M.Q., 2008a. Optimal mixedlevel k-circulant supersaturated designs. J. Statist. Plann. Inference 138, 4151–4157] explored the construction of E(fNOD )-optimalmixed-level SSDs using k-cyclic generators. As an extension, this paper further studies...
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A class of supersaturated designs called k-circulant designs is explored. These designs are constructed from cyclic generators by cycling k elements at a time. The class of designs includes many Es2-optimal designs, some of which are already known and some of which are more ef cient than known designs for model estimation under factor sparsity. Generators for the most ef cient designs are lis...
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A general method for constructing E(fNOD)-optimal mixed-level supersaturated designs possessing the equal occurrence property is introduced. The method, which gives promising results, is based on new techniques for the construction of supplementary difference sets. AMS (2000) subject classification. Primary 62K10, 62K15; secondary 05B20.
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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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