Construction of column-orthogonal strong orthogonal arrays

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

Statistical Papers, 2022, vol. 63, issue 2, No 8, 515-530

Abstract: Abstract Strong orthogonal arrays were recently introduced as a new class of space-filling designs for computer experiments due to their better stratifications than orthogonal arrays. To further improve the space-filling properties in low dimensions while possessing the column orthogonality, we propose column-orthogonal strong orthogonal arrays of strength two star and three. Construction methods and characterizations of such designs are provided. The resulting strong orthogonal arrays, with the numbers of levels being increased, have their space-filling properties in one and two dimensions being strengthened. They can accommodate comparable or even larger numbers of factors than those in the existing literature, enjoy flexible run sizes, and possess the column orthogonality. The construction methods are convenient and flexible, and the resulting designs are good choices for computer experiments.

Keywords: Computer experiment; Nonregular design; Saturated design; Space-filling property (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00362-021-01249-w

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