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Orthogonal Latin hypercube designs with special reference to four factors

Author

Listed:
  • Mandal, B.N.
  • Dash, Sukanta
  • Parui, Shyamsundar
  • Parsad, Rajender

Abstract

Latin hypercube designs are popular now-a-days for computer experiments. We give construction methods of orthogonal Latin hypercube designs for four factors for any number of runs for which such a design exists by combining smaller orthogonal matrices. We also propose methods for obtaining orthogonal Latin hypercube designs with larger number of factors.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:119:y:2016:i:c:p:181-185
    DOI: 10.1016/j.spl.2016.08.001
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    References listed on IDEAS

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    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. David M. Steinberg & Dennis K. J. Lin, 2006. "A construction method for orthogonal Latin hypercube designs," Biometrika, Biometrika Trust, vol. 93(2), pages 279-288, June.
    3. 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.
    4. Derek Bingham & Randy R. Sitter & Boxin Tang, 2009. "Orthogonal and nearly orthogonal designs for computer experiments," Biometrika, Biometrika Trust, vol. 96(1), pages 51-65.
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    Cited by:

    1. 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.

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