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Some properties of general minimum lower-order confounding designs

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  • Qi Zhou
  • Xue Yang
  • Ziyang Yang

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.

Suggested Citation

  • Qi Zhou & Xue Yang & Ziyang Yang, 2020. "Some properties of general minimum lower-order confounding designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(8), pages 1921-1932, April.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:8:p:1921-1932
    DOI: 10.1080/03610926.2019.1565842
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