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Construction of minimum generalized aberration designs

Author

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  • Kai-Tai Fang
  • Gen-Nian Ge
  • Min-Qian Liu
  • Hong Qin

Abstract

Supersaturated designs have become increasingly popular in recent years because of their potential in saving run size and the technical novelty. In this paper, the minimum generalized aberration (MGA) criterion proposed by Ma and Fang (2001) (and another two equivalent criteria proposed by Xu and Wu (2001) and Xu (2001b) respectively) for comparing non-regular symmetrical designs is used for evaluating supersaturated designs. A new construction method for MGA symmetrical supersaturated designs via resolvable balanced incomplete block designs is proposed, and some infinite classes for the existence of such MGA designs are obtained simultaneously, along with the investigation of properties of the resulting designs. The construction method shows a strong connection between these two different kinds of designs. Copyright Springer-Verlag 2003

Suggested Citation

  • Kai-Tai Fang & Gen-Nian Ge & Min-Qian Liu & Hong Qin, 2003. "Construction of minimum generalized aberration designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 57(1), pages 37-50, February.
    • Handle: RePEc:spr:metrik:v:57:y:2003:i:1:p:37-50
    DOI: 10.1007/s001840200197
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    References listed on IDEAS

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    1. Yamada, Shu & Lin, Dennis K. J., 1999. "Three-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 45(1), pages 31-39, October.
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    Cited by:

    1. Nguyen, Nam-Ky & Liu, Min-Qian, 2008. "An algorithmic approach to constructing mixed-level orthogonal and near-orthogonal arrays," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5269-5276, August.
    2. Li, Peng-Fei & Liu, Min-Qian & Zhang, Run-Chu, 2004. "Some theory and the construction of mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 69(1), pages 105-116, August.
    3. Yaquelin Verenice Pantoja-Pacheco & Armando Javier Ríos-Lira & José Antonio Vázquez-López & José Alfredo Jiménez-García & Martha Laura Asato-España & Moisés Tapia-Esquivias, 2021. "One Note for Fractionation and Increase for Mixed-Level Designs When the Levels Are Not Multiple," Mathematics, MDPI, vol. 9(13), pages 1-20, June.
    4. Chen, Jie & Liu, Min-Qian, 2008. "Optimal mixed-level supersaturated design with general number of runs," Statistics & Probability Letters, Elsevier, vol. 78(15), pages 2496-2502, October.
    5. Zhang, Shangli & Qin, Hong, 2006. "Minimum projection uniformity criterion and its application," Statistics & Probability Letters, Elsevier, vol. 76(6), pages 634-640, March.
    6. Qin, Hong & Chen, Yin-Bao, 2004. "Some results on generalized minimum aberration for symmetrical fractional factorial designs," Statistics & Probability Letters, Elsevier, vol. 66(1), pages 51-57, January.

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