CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2008, 24(6) 574-580 DOI:      ISSN: 1001-4268 CN: 31-1256

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An Approach for Constructing Some $2_{\rm{III}}^{m-(m-k)}$Designs with the Maximum Number of Clear Two-Factor Interactions

Yang Guijun

Department of Statistics and CCESR, Tianjin University of Finance and Economics

Abstract��

This paper provides an approach for constructing $2_{\text{III}}^{m-(m-k)}$ designs containing the maximum number of clear two-factor interactions. The designs obtained contain more clear two-factor interactions than those obtained Tang et al. (2002) for some $m$ and $k$. Moreover, the designs constructed are shown to have concise grid representations.

Keywords�� Clear effect   minimum aberration   resolution.