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Several new classes of space-filling designs

Author

Listed:
  • Wenlong Li

    (Beijing Institute of Technology)

  • Min-Qian Liu

    (LPMC & KLMDASR, Nankai University)

  • Jian-Feng Yang

    (LPMC & KLMDASR, Nankai University)

Abstract

Mappable nearly orthogonal arrays were recently proposed as a new class of space-filling designs for computer experiments. Inspired by mappable nearly orthogonal arrays, we propose several new classes of space-filling designs. The corresponding construction methods are provided. The resulting designs are more space-filling than mappable nearly orthogonal arrays while accommodating a large number of factors. In addition to the space-filling properties, the column orthogonality is also desirable for designs of computer experiments. Among the new constructed designs, one class is column-orthogonal, and the other two classes, providing many new column-orthogonal designs, are nearly column-orthogonal in the sense that each column is column-orthogonal to a large proportion of the other columns. The constructed designs are good choices for computer experiments due to their attractive space-filling properties and column orthogonality. The proposed construction methods are flexible in the choices of an orthogonal array and/or a strong orthogonal array and their usefulness is appealing. Many newly constructed space-filling designs are tabulated. The expansive replacement method and the generalized doubling play key roles in the constructions.

Suggested Citation

  • Wenlong Li & Min-Qian Liu & Jian-Feng Yang, 2024. "Several new classes of space-filling designs," Statistical Papers, Springer, vol. 65(1), pages 357-379, February.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:1:d:10.1007_s00362-023-01402-7
    DOI: 10.1007/s00362-023-01402-7
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    References listed on IDEAS

    as
    1. Rahul Mukerjee & Fasheng Sun & Boxin Tang, 2014. "Nearly orthogonal arrays mappable into fully orthogonal arrays," Biometrika, Biometrika Trust, vol. 101(4), pages 957-963.
    2. Yongdao Zhou & Boxin Tang, 2019. "Column-orthogonal strong orthogonal arrays of strength two plus and three minus," Biometrika, Biometrika Trust, vol. 106(4), pages 997-1004.
    3. Yuanzhen He & Boxin Tang, 2013. "Strong orthogonal arrays and associated Latin hypercubes for computer experiments," Biometrika, Biometrika Trust, vol. 100(1), pages 254-260.
    4. 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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