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Construction of \(E(s^2)\) optimal supersaturated designs using cyclic BIBDs. (English) Zbl 0958.62066

Summary: Formulas for computing the \(E(s^2)\) values of some kinds of \(E(s^2)\) optimal super-saturated designs are given, and a general algorithm of constructing \(E(s^2)\) optimal supersaturated designs from cyclic BIBDs is proposed. Within this class of designs, by further discriminating the pairwise correlations, efficient designs of runs from 6 to 24 are constructed and tabulated. Comparisons with other existing designs are made at last, demonstrating the effectiveness of our method.

MSC:

62K05 Optimal statistical designs
62K10 Statistical block designs
62K15 Factorial statistical designs
Full Text: DOI

References:

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