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A New Class of Strong Orthogonal Arrays of Strength Three

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Abstract

Strong orthogonal arrays (SOAs) were recently introduced and studied as a class of spacefilling designs for computer experiments. To surely realize better space-filling properties, SOAs of strength three or higher are desirable. In addition, orthogonality is also an important property for designs of computer experiments, because it guarantees that the estimates of the main effects are uncorrelated. This paper first provides a systematic study on the construction of (nearly) orthogonal strength-three SOAs with better space-filling properties. The newly proposed strength-three SOAs enjoy almost the same space-filling properties of strength-four SOAs, and can accommodate much more columns than the latter. Moreover, they are (nearly) orthogonal and flexible in run sizes. The construction methods are straightforward to implement, and their theoretical supports are well established. In addition to the theoretical results, many designs are tabulated for practical needs.

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Authors and Affiliations

  1. Center for Applied Statistics and School of Statistics, Renmin University of China, Beijing, 100872, China

    Chunyan Wang

  2. School of Statistics and Data Science, LPMC & KLMDASR, Nankai University, Tianjin, 300071, China

    Min-Qian Liu & Jinyu Yang

Authors
  1. Chunyan Wang
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  2. Min-Qian Liu
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  3. Jinyu Yang
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Corresponding author

Correspondence to Jinyu Yang.

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The authors declare no conflict of interest.

Additional information

This work was supported by the National Natural Science Foundation of China under Grant Nos. 12131001 and 12226343, the MOE Project of Key Research Institute of Humanities and Social Sciences under Grant No. 22JJD110001, and the National Ten Thousand Talents Program of China.

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Wang, C., Liu, MQ. & Yang, J. A New Class of Strong Orthogonal Arrays of Strength Three. J Syst Sci Complex 37, 1233–1250 (2024). https://doi.org/10.1007/s11424-023-3093-9

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  • DOI: https://doi.org/10.1007/s11424-023-3093-9

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