An algorithm for constructing mixed-level k-circulant supersaturated designs

Min-Qian Liu and Li Zhang

Computational Statistics & Data Analysis, 2009, vol. 53, issue 7, 2465-2470

Abstract: 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 mixed-level k-circulant supersaturated designs. J. Statist. Plann. Inference 138, 4151-4157] explored the construction of E(fNOD)-optimal mixed-level SSDs using k-cyclic generators. As an extension, this paper further studies how to construct optimal mixed-level k-circulant SSDs under the [chi]2(D) criterion. A sufficient condition under which the generator vector produces a [chi]2(D)-optimal SSD is obtained, and some other properties of the resulting SSDs are investigated. Note that, the construction of optimal mixed-level k-circulant SSDs under the [chi]2(D) criterion is much more complicated than that under . Hence, an algorithm for finding generators of (nearly) [chi]2(D)-optimal designs is provided, and many (nearly) [chi]2(D)-optimal mixed-level SSDs are then constructed.

Date: 2009
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