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Constructing optimal four-level designs via Gray map code

Author

Listed:
  • Liuping Hu

    (Jishou University)

  • Hongyi Li

    (Jishou University)

  • Zujun Ou

    (Jishou University)

Abstract

Recent research indicates that optimal designs can be constructed based on coding theory. This paper explores the use of Gray map code to construct optimal four-level designs. A general construction of four-level designs is described and some theoretic results are obtained. Many four-level designs constructed by the method often possess nice properties, such as less aberration and lower discrepancy. Moreover, the method is useful to construct those of four-level designs with large size.

Suggested Citation

  • Liuping Hu & Hongyi Li & Zujun Ou, 2019. "Constructing optimal four-level designs via Gray map code," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(5), pages 573-587, July.
    • Handle: RePEc:spr:metrik:v:82:y:2019:i:5:d:10.1007_s00184-018-0685-9
    DOI: 10.1007/s00184-018-0685-9
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    References listed on IDEAS

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    1. 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.
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    Cited by:

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