Construction of equidistant and weak equidistant supersaturated designs |
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Authors: | Yan Liu Min-Qian Liu |
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Institution: | 1. Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, China
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Abstract: | Supersaturated designs (SSDs) have been highly valued in recent years for their ability of screening out important factors
in the early stages of experiments. Recently, Liu and Lin (in Statist Sinica 19:197–211, 2009) proposed a method to construct
optimal mixed-level SSDs from smaller multi-level SSDs and transposed orthogonal arrays (OAs). This paper extends their method
to construct more equidistant optimal SSDs by replacing the multi-level SSDs and transposed OAs with mixed-level SSDs and
general transposed difference matrices, respectively, and then proposes two practical methods for constructing weak equidistant
SSDs based on this extended method. A large number of new optimal SSDs can be constructed from these three methods. Some examples
are provided and more new designs are listed in “Appendix” for practical use. |
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