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

Zhi-Ming Li, Ming-Ming Li and Sheng-Li Zhao

Communications in Statistics - Theory and Methods, 2020, vol. 49, issue 4, 924-941

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.

Date: 2020
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DOI: 10.1080/03610926.2018.1554124

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