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A note on Lee discrepancy

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  • Zou, Na
  • Ren, Ping
  • Qin, Hong

Abstract

The objective of this paper is to study the issue of Lee discrepancy [Zhou, Y.D., Ning, J.H., Song, X.B., 2008. Lee discrepancy and its applications in experimental designs. Statist. Probab. Lett. 78, 1933-1942], which can be used to measure the uniformity of fractional factorials. Here we present two improved lower bounds of Lee discrepancy of fractional factorials with two or three levels, and develop some links between Lee discrepancy and minimum moment aberration [Xu, H., 2003. Minimum moment aberration for nonregular designs and supersaturated designs. Statist. Sinica 13, 691-708].

Suggested Citation

  • Zou, Na & Ren, Ping & Qin, Hong, 2009. "A note on Lee discrepancy," Statistics & Probability Letters, Elsevier, vol. 79(4), pages 496-500, February.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:4:p:496-500
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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. Zhou, Yong-Dao & Ning, Jian-Hui & Song, Xie-Bing, 2008. "Lee discrepancy and its applications in experimental designs," Statistics & Probability Letters, Elsevier, vol. 78(13), pages 1933-1942, September.
    3. Fang, Kai-Tai & Qin, Hong, 2003. "A note on construction of nearly uniform designs with large number of runs," Statistics & Probability Letters, Elsevier, vol. 61(2), pages 215-224, January.
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    Cited by:

    1. Liuping Hu & Zujun Ou & Hongyi Li, 2020. "Construction of four-level and mixed-level designs with zero Lee discrepancy," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(1), pages 129-139, January.
    2. Liuping Hu & Kashinath Chatterjee & Jiaqi Liu & Zujun Ou, 2020. "New lower bound for Lee discrepancy of asymmetrical factorials," Statistical Papers, Springer, vol. 61(4), pages 1763-1772, August.

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