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On the construction of nested orthogonal Latin hypercube designs

Author

Listed:
  • Sukanta Dash

    (ICAR-Indian Agricultural Statistics Research Institute)

  • Baidya Nath Mandal

    (ICAR-Indian Agricultural Statistics Research Institute)

  • Rajender Parsad

    (ICAR-Indian Agricultural Statistics Research Institute)

Abstract

Latin hypercube designs are widely used in designing computer experiments. In recent years, nested orthogonal Latin hypercube designs have been proposed in the literature. In this article, two general methods of constructing nested orthogonal Latin hypercube designs have been developed. The methods give many new nested orthogonal Latin hypercube designs with fewer number of runs as compared to existing nested orthogonal Latin hypercube designs.

Suggested Citation

  • Sukanta Dash & Baidya Nath Mandal & Rajender Parsad, 2020. "On the construction of nested orthogonal Latin hypercube designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 83(3), pages 347-353, April.
    • Handle: RePEc:spr:metrik:v:83:y:2020:i:3:d:10.1007_s00184-019-00721-w
    DOI: 10.1007/s00184-019-00721-w
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    References listed on IDEAS

    as
    1. Fasheng Sun & Min-Qian Liu & Dennis K. J. Lin, 2009. "Construction of orthogonal Latin hypercube designs," Biometrika, Biometrika Trust, vol. 96(4), pages 971-974.
    2. Peter Z. G. Qian, 2009. "Nested Latin hypercube designs," Biometrika, Biometrika Trust, vol. 96(4), pages 957-970.
    3. Mandal, B.N. & Dash, Sukanta & Parui, Shyamsundar & Parsad, Rajender, 2016. "Orthogonal Latin hypercube designs with special reference to four factors," Statistics & Probability Letters, Elsevier, vol. 119(C), pages 181-185.
    4. Fasheng Sun & Boxin Tang, 2017. "A general rotation method for orthogonal Latin hypercubes," Biometrika, Biometrika Trust, vol. 104(2), pages 465-472.
    5. C. Devon Lin & Rahul Mukerjee & Boxin Tang, 2009. "Construction of orthogonal and nearly orthogonal Latin hypercubes," Biometrika, Biometrika Trust, vol. 96(1), pages 243-247.
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    Cited by:

    1. Weiyan Mu & Chengxin Liu & Shifeng Xiong, 2023. "Nested Maximum Entropy Designs for Computer Experiments," Mathematics, MDPI, vol. 11(16), pages 1-12, August.

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