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An overview of two-level supersaturated designs with cyclic structure. (English) Zbl 1211.62135

Summary: An overview is given of the link between the \(k\)-circulant method of construction of two-level supersaturated designs and construction methods based on cyclic incomplete block designs. It is shown that this link enables a simple formula for the \(Es^2\)-efficiency of all such designs to be derived. Generators are given for \(Es^2\)-optimal and near-optimal designs that extend the range of previously known designs or that have a smaller number of highly correlated column pairs.

MSC:

62K15 Factorial statistical designs
62K05 Optimal statistical designs
62K10 Statistical block designs
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