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Uniform supersaturated design and its construction

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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

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Authors and Affiliations

  1. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China;

    Kaitai Fang

  2. Department of Mathematics, Suzhou University, 215006, Suzhou, China

    Gennian Ge

  3. Department of Statistics, Nankai University, 300071, Tianjin, China

    Minqian Liu

Authors
  1. Kaitai Fang
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  2. Gennian Ge
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  3. Minqian Liu
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Correspondence to Kaitai Fang.

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Fang, K., Ge, G. & Liu, M. Uniform supersaturated design and its construction. Sci. China Ser. A-Math. 45, 1080–1088 (2002). https://doi.org/10.1007/BF02879992

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  • DOI: https://doi.org/10.1007/BF02879992

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