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\(2^{n-m}\) designs with resolution III or IV containing clear two-factor interactions. (English) Zbl 0938.62081
Summary: For a fixed number of runs, not all \(2^{n-m}\) designs with resolution III or IV have clear two-factor interactions. Therefore, it is highly desirable to know when resolution III or IV designs can have clear two-factor interactions. We provide a unified geometrical study of this problem and give a complete classification of the existence of clear two-factor interactions in regular \(2^{n-m}\) designs with resolution III or IV and reveal the structures of these designs.

MSC:
62K15 Factorial statistical designs
62K05 Optimal statistical designs
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