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Nested Latin Hypercube Designs with Sliced Structures

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  • Hao Chen
  • Min-Qian Liu

Abstract

In computer experiments, space-filling designs with a sliced structure or nested structure have received much recent interest and been studied separately. However, it is likely that designs with both structures are needed in some situations, but there are no suitable designs so far. In this paper, we construct a special class of nested Latin hypercube designs with sliced structures, in such a design, a small sliced Latin hypercube design is nested within a large one. The construction method is easy to implement and the number of factors is flexible. Numerical simulations show the usefulness of the newly proposed designs.

Suggested Citation

  • Hao Chen & Min-Qian Liu, 2015. "Nested Latin Hypercube Designs with Sliced Structures," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(22), pages 4721-4733, November.
    • Handle: RePEc:taf:lstaxx:v:44:y:2015:i:22:p:4721-4733
    DOI: 10.1080/03610926.2013.784995
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    Cited by:

    1. Hao Chen & Yan Zhang & Xue Yang, 2021. "Uniform projection nested Latin hypercube designs," Statistical Papers, Springer, vol. 62(4), pages 2031-2045, August.
    2. Bing Guo & Xue-Ping Chen & Min-Qian Liu, 2020. "Construction of Latin hypercube designs with nested and sliced structures," Statistical Papers, Springer, vol. 61(2), pages 727-740, April.
    3. Chen, Hao & Yang, Jinyu & Lin, Dennis K.J. & Liu, Min-Qian, 2019. "Sliced Latin hypercube designs with both branching and nested factors," Statistics & Probability Letters, Elsevier, vol. 146(C), pages 124-131.

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