Lower-order confounding information of inverse Yates-order designs with three levels

Zhiyun Huang, Zhiming Li (), Ge Zhang and Tao Chen
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Zhiyun Huang: Xinjiang University
Zhiming Li: Xinjiang University
Ge Zhang: Xinjiang University
Tao Chen: Xinjiang University

Metrika: International Journal for Theoretical and Applied Statistics, 2023, vol. 86, issue 2, No 5, 239-259

Abstract: Abstract Li et al. (Comm Statist Theory Methods 49: 924–941, 2020) introduced the concept of inverse Yates-order (IYO) designs, and obtained most of two-level IYO designs have general minimum lower-order confounding (GMC) property. For this reason, the paper extends two-level IYO designs to three-level cases. We first propose the definition of $$3^{n-m}$$ 3 n - m IYO design $$D_q(n)$$ D q ( n ) from the saturated design $$H_q$$ H q with three levels. Then, the formulas of lower-order confounding are obtained according to the factor number of $$3^{n-m}$$ 3 n - m IYO design: (i) $$q

Keywords: Inverse Yates-order design; Aliased component-number pattern; General minimum lower-order confounding (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s00184-022-00876-z

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