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Uniform supersaturated design and its construction |
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| Authors: | Kaitai Fang Gennian Ge and Minqian Liu |
| Institution: | 1. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China 2. Department of Mathematics, Suzhou University, Suzhou 215006, China 3. Department of Statistics, Nankai University, Tianjin 300071, China |
| Abstract: | Supersaturated designs are factorial designs in which the number of main effects is greater than the number of experimental runs. In this paper, a discrete discrepancy is proposed as a measure of uniformity for supersaturated designs, and a lower bound of this discrepancy is obtained as a benchmark of design uniformity. A construction method for uniform supersaturated designs via resolvable balanced incomplete block designs is also presented along with the investigation of properties of the resulting designs. The construction method shows a strong link between these two different kinds of designs |
| Keywords: | discrepancy resolvable balanced incomplete block design supersaturated design uniformity |
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