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Construction of mixed-level supersaturated design

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  • Shu Yamada
  • Dennis Lin

Abstract

Supersaturated design is a form of fractional factorial design in which the number of columns is greater than the number of experimental runs. Construction methods of supersaturated design have been mainly focused on two levels cases. Much practical experience, however, indicates that two-level may sometimes be inadequate. This paper proposed a construction method of mixed-level supersaturated designs consisting of two-level and three-level columns. The χ 2 statistic is used for a measure of dependency of the design columns. The dependency properties for the newly constructed designs are derived and discussed. It is shown that these new designs have low dependencies and thus can be useful for practical uses. Copyright Springer-Verlag 2002

Suggested Citation

  • Shu Yamada & Dennis Lin, 2002. "Construction of mixed-level supersaturated design," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 56(3), pages 205-214, December.
    • Handle: RePEc:spr:metrik:v:56:y:2002:i:3:p:205-214
    DOI: 10.1007/s001840100173
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    Citations

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    Cited by:

    1. Kleijnen, Jack P. C., 2005. "An overview of the design and analysis of simulation experiments for sensitivity analysis," European Journal of Operational Research, Elsevier, vol. 164(2), pages 287-300, July.
    2. Kleijnen, J.P.C., 2004. "Design and Analysis of Monte Carlo Experiments," Other publications TiSEM 7a12daae-c849-427e-8269-7, Tilburg University, School of Economics and Management.
    3. 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.
    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. Liu, Min-Qian & Zhang, Li, 2009. "An algorithm for constructing mixed-level k-circulant supersaturated designs," Computational Statistics & Data Analysis, Elsevier, vol. 53(7), pages 2465-2470, May.
    6. 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.
    7. Koukouvinos, C. & Mantas, P., 2005. "Construction of some E(fNOD) optimal mixed-level supersaturated designs," Statistics & Probability Letters, Elsevier, vol. 74(4), pages 312-321, October.

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