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\(2^m 4^n\) designs with resolution III or IV containing clear two-factor interaction components. (English) Zbl 1148.62063
Summary: The orthogonal arrays with mixed levels have become widely used in fractional factorial designs. It is highly desirable to know when such designs with resolution III or IV have clear two-factor interaction components (2fic’s). We give a complete classification of the existence of clear 2fic’s in regular \(2^m 4^n\) designs with resolution III or IV. Necessary and sufficient conditions for a \(2^m 4^n\) design to have clear 2fic’s are given. Also, \(2^m 4^n\) designs of 32 runs with the most clear 2fic’s are given for \(n = 1,2\).

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