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Weak minimum aberration and maximum number of clear two-factor interactions in $$2_{IV}^{m - p} $$ designs
Authors:Guijun?Yang  Email author" target="_blank">Minqian?LiuEmail author  Runchu?Zhang
Institution:(1) Department of Statistics, Tianjin University of Finance and Economics, 300222 Tianjin, China;(2) Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, 300071 Tianjin, China
Abstract:Both the clear effects and minimum aberration criteria are the important rules for the design selection. In this paper, it is proved that some
$$2_{IV}^{m - p} $$
designs have weak minimum aberration, by considering the number of clear two-factor interactions in the designs. And some conditions are provided, under which a
$$2_{IV}^{m - p} $$
design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration
$$2_{IV}^{m - p} $$
designs are provided for illustrations and two nonisomorphic weak minimum aberration
$$2_{IV}^{13 - 6} $$
designs are constructed at the end of this paper.
Keywords:clear  weak minimum aberration  resolution  wordlength pattern
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