Some properties of general minimum lower-order confounding designs

Qi Zhou, Xue Yang and Ziyang Yang

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 8, 1921-1932

Abstract: The general minimum lower order confounding (GMC) criterion was proposed to select factorial designs, called GMC designs. The theory of constructing GMC 2n–m designs with 5N/16+1≤n≤N−1 was studied by Li, Zhao, and Zhang (2011), where 2n–m denotes a two-level design with n factors and N=2n−m runs. In this article, we propose a method to study the properties of aliasing relations of GMC 2n–m designs with 5N/16+1≤n≤N−1, which make the aliasing information of these designs obtained theoretically. We illustrate how our method can be used to study partially GMC designs and blocked GMC designs.

Date: 2020
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DOI: 10.1080/03610926.2019.1565842

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