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Search for minimum aberration designs with uniformity

Author

Listed:
  • Bochuan Jiang

    (Beijing Jiaotong University)

  • Yaping Wang

    (East China Normal University)

  • Mingyao Ai

    (Peking University)

Abstract

Uniform designs have been widely applied in engineering and sciences’ innovation. When a lot of quantitative factors are investigated with as few runs as possible, a supersaturated uniform design with good overall and projection uniformity is needed. By combining combinatorial methods and stochastic algorithms, such uniform designs with flexible numbers of columns are constructed in this article under the wrap-around $$L_2$$ L 2 -discrepancy. Compared with the existing designs, the new designs and their two-dimensional projections not only have less aberration, but also have lower discrepancy. Furthermore, some novel theoretical results on the minimum-aberration, uniform and uniform projection designs are obtained.

Suggested Citation

  • Bochuan Jiang & Yaping Wang & Mingyao Ai, 2022. "Search for minimum aberration designs with uniformity," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 74(2), pages 271-287, April.
    • Handle: RePEc:spr:aistmt:v:74:y:2022:i:2:d:10.1007_s10463-021-00796-1
    DOI: 10.1007/s10463-021-00796-1
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    References listed on IDEAS

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    1. Neil A. Butler, 2005. "Generalised minimum aberration construction results for symmetrical orthogonal arrays," Biometrika, Biometrika Trust, vol. 92(2), pages 485-491, June.
    2. Yan Liu & Min-Qian Liu, 2012. "Construction of equidistant and weak equidistant supersaturated designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 75(1), pages 33-53, January.
    3. S. Georgiou & C. Koukouvinos, 2006. "Multi-level k-circulant Supersaturated Designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 64(2), pages 209-220, October.
    4. Yong-Dao Zhou & Hongquan Xu, 2014. "Space-Filling Fractional Factorial Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(507), pages 1134-1144, September.
    Full references (including those not matched with items on IDEAS)

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