Several new classes of space-filling designs

Wenlong Li, Min-Qian Liu and Jian-Feng Yang ()
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Wenlong Li: Beijing Institute of Technology
Min-Qian Liu: LPMC & KLMDASR, Nankai University
Jian-Feng Yang: LPMC & KLMDASR, Nankai University

Statistical Papers, 2024, vol. 65, issue 1, No 15, 357-379

Abstract: 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.

Keywords: Computer experiment; Expansive replacement method; Generalized doubling; Orthogonal array; Stratification (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-023-01402-7

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