Semifoldover plans for three-level orthogonal arrays with quantitative factors

Wenlong Li, Bing Guo, Hengzhen Huang and Min-Qian Liu ()
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Wenlong Li: Nankai University
Bing Guo: Sichuan University
Hengzhen Huang: Guangxi Normal University
Min-Qian Liu: Nankai University

Statistical Papers, 2021, vol. 62, issue 6, No 8, 2709 pages

Abstract: Abstract Although foldover designs can de-alias many effects, they involve at least twice the original number of runs. A semifoldover design, one kind of the partial foldover designs, is typically much more efficient since such a design adds only half of the new runs of a foldover design to the initial design. Semifoldover designs for two-level orthogonal arrays have been investigated in recent literatures. With the use of linear-quadratic system, this paper considers semifoldover designs for three-level orthogonal arrays with quantitative factors. We examine when the linear effects can be de-aliased from their aliased two-factor interactions for regular and nonregular designs, and obtain some good properties via semifolding over on partial factors or all factors. Theoretical properties and some examples are provided to illustrate the usefulness of the proposed designs.

Keywords: Combined design; Generalized wordlength pattern; Linear-quadratic system; Semifoldover design (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00362-020-01211-2

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