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On the connection between maximin distance designs and orthogonal designs

Author

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  • Yaping Wang
  • Jianfeng Yang
  • Hongquan Xu

Abstract

SUMMARYMaximin distance designs and orthogonal designs are widely used in computer and physical experiments. We characterize a broad class of maximin distance designs by establishing new bounds on the minimum intersite distance for mirror-symmetric and general U-type designs. We show that maximin distance designs and orthogonal designs are closely related and coincide under some conditions.

Suggested Citation

  • Yaping Wang & Jianfeng Yang & Hongquan Xu, 2018. "On the connection between maximin distance designs and orthogonal designs," Biometrika, Biometrika Trust, vol. 105(2), pages 471-477.
    • Handle: RePEc:oup:biomet:v:105:y:2018:i:2:p:471-477.
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    File URL: http://hdl.handle.net/10.1093/biomet/asy005
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    Cited by:

    1. Bing Guo & Xiao-Rong Li & Min-Qian Liu & Xue Yang, 2023. "Construction of orthogonal general sliced Latin hypercube designs," Statistical Papers, Springer, vol. 64(3), pages 987-1014, June.
    2. Su, Zheren & Wang, Yaping & Zhou, Yingchun, 2020. "On maximin distance and nearly orthogonal Latin hypercube designs," Statistics & Probability Letters, Elsevier, vol. 166(C).
    3. Tonghui Pang & Yan Wang & Jian-Feng Yang, 2022. "Asymptotically optimal maximin distance Latin hypercube designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 85(4), pages 405-418, May.

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