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Bound on the maximum number of clear two-factor interactions for $$2^{n- (n-k)}$$ designs. (English) Zbl 1198.62074
Summary: The clear effects criterion is an important criterion for selecting fractional factorial designs. B. Tang et al. [Can. J. Stat. 30, No. 1, 127–136 (2002; Zbl 0999.62059)] derived upper and lower bounds on the maximum number of clear two-factor interactions in $$2^{n- (n-k)}$$ designs of resolution III and IV by constructing $$2^{n- (n-k)}$$ designs. But their method does not perform well sometimes when the resolution is III. This article modifies the construction method for $$2^{n- (n-k)}$$ designs of resolution III. The modified method is a great improvement over that of Tang et al.

##### MSC:
 62K15 Factorial statistical designs
##### Keywords:
random fractional designs; resolution
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