Construction of mixed-level column-orthogonal strong orthogonal arrays of strength two plus

Chen Li, Yan Zhu and Shanqi Pang

Statistics & Probability Letters, 2025, vol. 224, issue C

Abstract: Strong orthogonal arrays were introduced and studied as a class of space-filling designs for computer experiments. Column orthogonality is an important property in computer experiments. In this paper, using generalized multiplication, we introduce a new general method for obtaining mixed-level column-orthogonal strong orthogonal arrays (OSOAs) of strength two plus. We also use generator matrices and the expansive replacement method to obtain numerous new mixed-level OSOAs of strength two plus. The constructions offer convenience and flexibility in selecting factor levels and run sizes. As an application of these methods, the constructed OSOAs contain nearly all existing array classes as special cases. Some selective OSOAs are tabulated for practical uses.

Keywords: Column-orthogonality; Computer experiment; Space-filling design; Strong orthogonal array (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1016/j.spl.2025.110447

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