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Nearly orthogonal arrays mappable into fully orthogonal arrays

Author

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  • Rahul Mukerjee
  • Fasheng Sun
  • Boxin Tang

Abstract

We develop a method for construction of arrays which are nearly orthogonal, in the sense that each column is orthogonal to a large proportion of the other columns, and which are convertible to fully orthogonal arrays via a mapping of the symbols in each column to a possibly smaller set of symbols. These arrays can be useful in computer experiments as designs which accommodate a large number of factors and enjoy attractive space-filling properties. Our construction allows both the mappable nearly orthogonal array and the consequent fully orthogonal array to be either symmetric or asymmetric. Resolvable orthogonal arrays play a key role in the construction.

Suggested Citation

  • Rahul Mukerjee & Fasheng Sun & Boxin Tang, 2014. "Nearly orthogonal arrays mappable into fully orthogonal arrays," Biometrika, Biometrika Trust, vol. 101(4), pages 957-963.
    • Handle: RePEc:oup:biomet:v:101:y:2014:i:4:p:957-963.
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    File URL: http://hdl.handle.net/10.1093/biomet/asu042
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    Cited by:

    1. Song-Nan Liu & Min-Qian Liu & Jin-Yu Yang, 2023. "Construction of Column-Orthogonal Designs with Two-Dimensional Stratifications," Mathematics, MDPI, vol. 11(6), pages 1-27, March.
    2. Fasheng Sun & Boxin Tang, 2017. "A Method of Constructing Space-Filling Orthogonal Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(518), pages 683-689, April.
    3. Wang, Chunyan & Lin, Dennis K.J., 2024. "Strong orthogonal Latin hypercubes for computer experiments," Computational Statistics & Data Analysis, Elsevier, vol. 198(C).

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