| BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-（n-k） DESIGNS |
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| 引用本文： | 赵胜利,;张润楚.BOUND ON THE MAXIMUM NUMBER OF CLEAR TWO-FACTOR INTERACTIONS FOR 2^n-（n-k） DESIGNS[J].数学物理学报(B辑英文版),2008,28(4):949-954. |
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| 作者姓名： | 赵胜利 ;张润楚 |
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| 作者单位： | [1]School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China; [2]LPMC and Department of Statistics, School of Mathematical Sciences Nankai University, Tianjin 300071, China |
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| 基金项目： | Research supported by NNSF of China （10571093, 10671099 and 10771123）, SRFDP of China （20050055038） NSF of Shandong Province of China （Q2007A05）, Zhang＇s research was also supported by the Visiting Scholar Program at Chern Institute of Mathematics |
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| 摘 要： | Clear effects criterion is an important criterion for selecting fractional factorial designs1].Tang et al.2]derived upper and lower bounds on the maximum number of clear two-factor interactions（2fi＇s）in 2^n-（n-k）designs of resolution Ⅲ and Ⅳ by constructing 2^n-（n-k）designs.But the method in2]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 in2].The modified method is a great improvement on that used in2].
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| 关 键 词： | 任意分数设计 分辨率 数学分析 数学物理 |
| 收稿时间： | 28 December 2005 |
Bound on the maximum number of clear two-factor interactions for 2 designs |
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| Zhao Shengli,Zhang Runchu,.Bound on the maximum number of clear two-factor interactions for 2 designs[J].Acta Mathematica Scientia,2008,28(4):949-954. |
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| Authors: | Zhao Shengli Zhang Runchu |
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| Institution: | aSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, China;bLPMC and Department of Statistics, School of Mathematical Sciences Nankai University, Tianjin 300071, China |
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| Abstract: | Clear effects criterion is an important criterion for selecting fractional factorial designs 1]. Tang et al. 2] derived upper and lower bounds on the maximum number of clear two-factor interactions (2fi's) in 2n-(n-k) designs of resolution III and IV by constructing 2n-(n-k) designs. But the method in 2] does not perform well sometimes when the resolution is III. This article modifies the construction method for 2n-(n-k) designs of resolution III in 2]. The modified method is a great improvement on that used in 2]. |
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| Keywords: | Random fractional design clear resolution2000 MR Subject Classification: 62K15 62K05 |
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