| Weak minimum aberration and maximum number of clear two-factor interactions in 2_(IV)~(m-p) designs |
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| 引用本文： | YANG Guijun,LIU Minqian & ZHANG Runchu Department of Statistics,Tianjin University of Finance and Economics,Tianjin 300222,China, Department of Statistics,School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,China. Weak minimum aberration and maximum number of clear two-factor interactions in 2_(IV)~(m-p) designs[J]. 中国科学A辑(英文版), 2005, 0(11) |
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| 作者姓名： | YANG Guijun LIU Minqian & ZHANG Runchu Department of Statistics Tianjin University of Finance and Economics Tianjin 300222 China Department of Statistics School of Mathematical Sciences and LPMC Nankai University Tianjin 300071 China |
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| 作者单位： | YANG Guijun，LIU Minqian & ZHANG Runchu Department of Statistics，Tianjin University of Finance and Economics，Tianjin 300222，China; Department of Statistics，School of Mathematical Sciences and LPMC，Nankai University，Tianjin 300071，China |
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| 摘 要： | Both the clear effects and minimum aberration criteria are the important rules for the design selection. In this paper, it is proved that some 2IVm-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 2IVm-p design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration 2IVm-p designs are provided for illustrations and two non-isomorphic weak minimum aberration 2IV13-6 designs are constructed at the end of this paper.
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Weak minimum aberration and maximum number of clear two-factor interactions in 2_(IV)~(m-p) designs |
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| YANG Guijun,LIU Minqian , ZHANG Runchu. Weak minimum aberration and maximum number of clear two-factor interactions in 2_(IV)~(m-p) designs[J]. Science in China(Mathematics), 2005, 0(11) |
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| Authors: | YANG Guijun LIU Minqian & ZHANG Runchu |
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| Affiliation: | YANG Guijun,LIU Minqian & ZHANG Runchu Department of Statistics,Tianjin University of Finance and Economics,Tianjin 300222,China, Department of Statistics,School of Mathematical Sciences and LPMC,Nankai University,Tianjin 300071,China |
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| 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 2IVm-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 2IVm-p design can have the maximum number of clear two-factor interactions and weak minimum aberration at the same time. Some weak minimum aberration 2IVm-p designs are provided for illustrations and two non-isomorphic weak minimum aberration 2IV13-6 designs are constructed at the end of this paper. |
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| Keywords: | clear weak minimum aberration resolution wordlength pattern. |
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