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A unifying implementation of stratum (aka strong) orthogonal arrays

Ulrike Grömping

Computational Statistics & Data Analysis, 2023, vol. 183, issue C

Abstract: Constructions of so-called “strong orthogonal arrays” (SOAs) have been previously proposed. The approaches and notations taken in the different proposals vary widely. The SOAs and their constructions are reviewed using a unifying notation with a simple set of equations. In addition to providing a unifying overview, some constructions are improved, e.g., by enforcing column orthogonality via a bipartite pair matching algorithm where the original constructions pay no attention to column orthogonality. All presented constructions are implemented in the R package SOAs. As an aside, it is argued that “stratum” is a better choice than “strong” for the “S” in the acronym SOAs.

Keywords: Experimental design; Quantitative factors; Strong orthogonal arrays; Stratum orthogonal arrays; Computer experiments (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:183:y:2023:i:c:s0167947323000506

DOI: 10.1016/j.csda.2023.107739

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