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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
##### Keywords:
resolution; wordlength pattern
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