Optimal mixed-level supersaturated designs and a new class of combinatorial designs. (English) Zbl 1120.62060
Summary: This paper considers the construction of optimal mixed-level supersaturated designs under the \(E(\chi ^{2})\)-optimality criterion. According to a lower bound of the \(E(\chi ^{2})\) value, a combinatorial construction method is proposed and illustrated. Meanwhile, a new class of combinatorial designs is put forward. Furthermore, some methods for constructing these combinatorial designs which correspond to \(E(\chi ^{2})\)-optimal mixed-level supersaturated designs are provided. All of these results extend the catalogue of \(E(\chi ^{2})\)-optimal mixed-level supersaturated designs.
MSC:
| 62K05 | Optimal statistical designs |
| 62K15 | Factorial statistical designs |
| 05B99 | Designs and configurations |
Keywords:
balanced; \(E(\chi ^{2})\)-optimality; mixed-level; supersaturated design; uniformly resolvable; weighted designReferences:
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