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


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Article Info

DATE

2022-07-28

AUTHORS

Zhiyun Huang, Zhiming Li, Ge Zhang, Tao Chen

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 3n-m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3^{n-m}$$\end{document} IYO design Dq(n)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$D_q(n)$$\end{document} from the saturated design Hq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_q$$\end{document} with three levels. Then, the formulas of lower-order confounding are obtained according to the factor number of 3n-m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$3^{n-m}$$\end{document} IYO design: (i) q More... »

PAGES

1-21

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Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00184-022-00876-z

DOI

http://dx.doi.org/10.1007/s00184-022-00876-z

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https://app.dimensions.ai/details/publication/pub.1149821488


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