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Lower-order confounding information of inverse Yates-order two-level designs

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  • Zhi-Ming Li
  • Ming-Ming Li
  • Sheng-Li Zhao

Abstract

Based on the effect hierarchy principle, a good design should minimize the confounding among the lower-order effects. Thus, it is important to obtain the confounding information of effects of a design. This paper analyzes the aliased pattern of two-level designs and obtains the confounding information among lower-order effects for a class of two-level designs, called inverse Yates-order (IYO) designs. The expressions of confounding among lower-order effects are obtained. Some examples are provided to illustrate these results. The important elements in classification patterns of some IYO designs under some optimality criteria are tabulated.

Suggested Citation

  • Zhi-Ming Li & Ming-Ming Li & Sheng-Li Zhao, 2020. "Lower-order confounding information of inverse Yates-order two-level designs," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(4), pages 924-941, February.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:4:p:924-941
    DOI: 10.1080/03610926.2018.1554124
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