| 8×4×2~n设计纯净两因子交互作用成分最大数的界 |
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| 引用本文： | 赵倩倩,赵胜利.8×4×2~n设计纯净两因子交互作用成分最大数的界[J].数学学报,2017,60(6):993-1002. |
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| 作者姓名： | 赵倩倩 赵胜利 |
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| 作者单位： | 曲阜师范大学统计学院 曲阜 273165 |
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| 基金项目： | 国家自然科学基金资助项目（11371223）；曲阜师范大学应用概率统计科研创新团队项目（0230518）；曲阜师范大学科技项目（xkj201519） |
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| 摘 要： | 混水平部分因析设计在各类试验中有广泛应用.纯净效应准则是用于选取最优部分因析设计的重要准则之一.本文考虑含有一个八水平因子、一个四水平因子和若干二水平因子的8×4×2~n混水平设计,给出了分辨度为Ⅲ和Ⅳ的该类混水平设计包含纯净两因子交互作用成分最大数的上界和下界.下界通过构造特定设计而得到.
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| 关 键 词： | 纯净效应 混水平设计 分辨度 两因子交互作用成分 |
Bounds on the Maximum Number of Clear Two-factor Interaction Components for 8×4×2n Designs |
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| Qian Qian ZHAO,Sheng Li ZHAO.Bounds on the Maximum Number of Clear Two-factor Interaction Components for 8×4×2n Designs[J].Acta Mathematica Sinica,2017,60(6):993-1002. |
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| Authors: | Qian Qian ZHAO Sheng Li ZHAO |
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| Institution: | School of Statistics, Qufu Normal University, Qufu 273165, P. R. China |
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| Abstract: | Mixed-level designs are widely used in factorial experiments. Clear effects criterion is one of the important rules for selecting optimal fractional factorial designs. This paper considers mixed-level designs with one eight-level factor, one four-level factor, and some two-level factors, denoted by 8×4×2n designs, and derives the upper and lower bounds on the maximum number of clear two-factor interaction components in 8×4×2n designs with resolution Ⅲ and IV. The lower bounds are achieved by constructing specific designs. |
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| Keywords: | clear effects mixed-level designs resolution two-factor interaction components |
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