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Space-filling properties of strong orthogonal arrays

Author

Listed:
  • Wenlong Li

    (Beijing Jiaotong University)

  • Yong-Dao Zhou

    (LPMC & KLMDASR, Nankai University)

  • Jian-Feng Yang

    (LPMC & KLMDASR, Nankai University)

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.

Suggested Citation

  • Wenlong Li & Yong-Dao Zhou & Jian-Feng Yang, 2025. "Space-filling properties of strong orthogonal arrays," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 88(6), pages 1257-1277, August.
    • Handle: RePEc:spr:metrik:v:88:y:2025:i:6:d:10.1007_s00184-025-01004-3
    DOI: 10.1007/s00184-025-01004-3
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