(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 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 design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration designs are provided for illustrations and two nonisomorphic weak minimum aberration designs are constructed at the end of this paper.