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An efficient method for constructing uniform designs with large size

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  • Yong-Dao Zhou
  • Kai-Tai Fang

Abstract

Many construction methods for (nearly) uniform designs have been proposed under the centered $$L_2$$ -discrepancy, and most of them are only suitable for constructing designs with small size. This paper proposes a new method, called mixture method (MM), to construct nearly symmetrical/asymmetrical uniform designs with large number of runs and/or large number of factors. The new method has the “better than given” property, i.e., the resulting design is better than existing designs in the sense of the pre-decided criterion. Moreover, the computational speed of MM is faster than most existing methods. Copyright Springer-Verlag 2013

Suggested Citation

  • Yong-Dao Zhou & Kai-Tai Fang, 2013. "An efficient method for constructing uniform designs with large size," Computational Statistics, Springer, vol. 28(3), pages 1319-1331, June.
    • Handle: RePEc:spr:compst:v:28:y:2013:i:3:p:1319-1331
    DOI: 10.1007/s00180-012-0359-4
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    References listed on IDEAS

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    1. Fred J. Hickernell, 2002. "Uniform designs limit aliasing," Biometrika, Biometrika Trust, vol. 89(4), pages 893-904, December.
    2. Winker, Peter & Fang, Kai-Tai, 1995. "Application of threshold accepting to the evaluation of the discrepancy of a set of points," Discussion Papers, Series II 248, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    3. Hong Qin & Mingyao Ai, 2007. "A note on the connection between uniformity and generalized minimum aberration," Statistical Papers, Springer, vol. 48(3), pages 491-502, September.
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    Cited by:

    1. Zongyi Hu & Jiaqi Liu & Yi Li & Hongyi Li, 2021. "Uniform augmented q-level designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 84(7), pages 969-995, October.

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