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Weak minimum aberration and maximum number of clear two-factor interactions in \(2_{\text{IV}}^{m-p}\) designs. (English) Zbl 1112.62076
Summary: Both the clear effects and minimum aberration criteria are important rules for design selection. In this paper, it is proved that some \(2^{m-p}_{\text{IV}}\) designs have weak minimum aberration, by considering the number of clear two-factor interactions in the designs. Some conditions are provided, under which a \(2^{m-p}_{\text{IV}}\) design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration \(2^{m-p}_{\text{IV}}\) designs are provided for illustrations and two non-isomorphic weak minimum aberration \(2^{13-6}_{\text{IV}}\) designs are constructed at the end of this paper.

MSC:
62K15 Factorial statistical designs
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