Space-filling properties of strong orthogonal arrays

Wenlong Li, Yong-Dao Zhou and Jian-Feng Yang ()
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Wenlong Li: Beijing Jiaotong University
Yong-Dao Zhou: LPMC & KLMDASR, Nankai University
Jian-Feng Yang: LPMC & KLMDASR, Nankai University

Metrika: International Journal for Theoretical and Applied Statistics, 2025, vol. 88, issue 6, No 21, 1257-1277

Abstract: Abstract Strong orthogonal arrays (SOAs) represent a novel category of space-filling designs ideal for computer experiments due to their superior stratifications compared to traditional orthogonal arrays. This paper explores the space-filling properties of SOAs using the maximin distance criterion and introduces a method for creating maximin distance (nearly) strong orthogonal arrays, where orthogonal arrays play an important role in the construction. The resulting designs demonstrate improved full-dimensional space-filling properties compared to existing SOAs. Furthermore, these nearly strong orthogonal arrays can support a larger number of factors and exhibit higher distance than existing SOAs. A case study is provided to illustrate the effectiveness of the proposed designs for emulating computer models.

Keywords: Computer experiment; Maximin distance; Space-filling property; Stratification; Primary 62K15; Secondary 62K05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00184-025-01004-3

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