Construction of group strong orthogonal arrays of strength two plus

Mengmeng Liu, Min-Qian Liu and Jinyu Yang ()
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Mengmeng Liu: Nankai University
Min-Qian Liu: Nankai University
Jinyu Yang: Nankai University

Metrika: International Journal for Theoretical and Applied Statistics, 2022, vol. 85, issue 6, No 1, 657-674

Abstract: Abstract Strong orthogonal arrays (SOAs) have received more and more attention recently since they enjoy more desirable space-filling properties than ordinary orthogonal arrays. Among them, the SOAs of strength $$2+$$ 2 + are the most advisable as they satisfy the same two-dimensional space-filling property as SOAs of strength 3 while having more columns for given run sizes. In addition, column-orthogonality is also a desirable property for designs of computer experiments. Existing column-orthogonal SOAs of strength $$2+$$ 2 + have limited columns. In this paper, we propose a new class of space-filling designs, called group SOAs of strength $$2+$$ 2 + , and provide construction methods for such designs. The proposed designs can accommodate more columns than column-orthogonal SOAs of strength $$2+$$ 2 + for given run sizes while satisfying similar stratifications and retaining a high proportion of column-orthogonal columns. Orthogonal arrays and difference schemes play important roles in the construction. The construction procedures are easy to implement and a large amount of group SOAs with $$s^2$$ s 2 levels are constructed where $$s \ge 2$$ s ≥ 2 is a prime power. In addition, the run sizes of the constructed designs are s times the ones of the orthogonal arrays used in the construction procedure. Thus they are relatively flexible.

Keywords: Column-orthogonality; Difference scheme; Orthogonal array; Space-filling design; Primary 62K15; Secondary 62K05 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s00184-021-00843-0

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