Abstract
In the last 2 years, some research results on the construction of multi-level supersaturated designs appeared in the literature (J. Statist. Plann. Inference 81 (1999) 183; 86 (2000) 239; Chinese Ann. Math. B 22 (2001) 183). In this paper we present a systematical procedure in the construction of multi-level supersaturated design under two criteria— E( d 2) and max( d 2), proposed by Lu and Sun (Chinese Ann. Math. B 22 (2001) 183). The procedure can be used to produce more multi-level supersaturated designs than those presented in the literature. It is based on a basic fact that one can induce an E( d 2)-optimal factorial design (saturated or supersaturated) from a resolvable balanced incomplete block design. The result is an extension of the Nguyen (Technometrics 38 (1996) 69) discovery for two-level supersaturated design. A number of resolvable balanced incomplete block designs with corresponding supersaturated (or saturated) factorial designs are presented. Using these factorial designs as bases, more and larger supersaturated designs can be generated in a systematical procedure.
Published Version
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