Construction of three-level factorial designs with general minimum lower-order confounding via resolution IV designs

Tian-fang Zhang, Yingxing Duan, Shengli Zhao () and Zhiming Li
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Tian-fang Zhang: Jiangxi Normal University
Yingxing Duan: No. 3 Middle School of Jiujiang City
Shengli Zhao: Qufu Normal University
Zhiming Li: Xinjiang University

Metrika: International Journal for Theoretical and Applied Statistics, 2025, vol. 88, issue 5, No 4, 679-687

Abstract: Abstract The general minimum lower order confounding (GMC) is a criterion for selecting designs when the experimenter has prior information about the order of the importance of the factors. The paper considers the construction of $$3^{n-m}$$ 3 n - m designs under the GMC criterion. Based on some theoretical results, it proves that some large GMC $$3^{n-m}$$ 3 n - m designs can be obtained by combining some small resolution IV designs T. All the results for $$4\le \#\{T\} \le 20$$ 4 ≤ # { T } ≤ 20 are tabulated in the table, where $$\#$$ # means the cardinality of a set.

Keywords: Aliased component-number pattern; Component effect hierarchy principle; General minimum lower order confounding; Resolution; 62K05 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00184-024-00972-2

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