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

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.