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 部分纯净主效应设计

马海南1,陈雪平2   

  1. 1. 浙江工业职业技术学院人文社科部, 绍兴 312000; 2. 江苏理工学院数理学院,常州 213001
  • 出版日期:2020-02-25 发布日期:2020-05-29

马海南,陈雪平.  部分纯净主效应设计[J]. 系统科学与数学, 2020, 40(2): 243-251.

MA Hainan, CHEN Xueping. Partially Clear Main-Effect Plans[J]. Journal of Systems Science and Mathematical Sciences, 2020, 40(2): 243-251.

Partially Clear Main-Effect Plans

MA Hainan1 ,CHEN Xueping2   

  1. 1. Department of Humanities and Social Sciences, Zhejiang Industry Polytechnic College, Shaoxing 312000; 2. School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001
  • Online:2020-02-25 Published:2020-05-29

纯净效应准则是选择最优设计的一个重要准则, 实际中往往部分二阶交互效应是可忽略的, 此时对主效应的估计, 可以允许主效应与可忽略二阶交互效应混杂. 文章首先回顾了部分纯净主效应设计的相关理论、进展、以及二水平情形下的结果. 然后以三水平为例,给出了高水平下部分纯净主效应设计的若干结果. 相比二水平情形, 其存在更多类的高水平部分纯净主效应设计. 最后通过随机模拟比较, 验证了三水平部分纯净主效应设计在估计参数上的优势.

Partially clear effect is an important criterion to choose the optimal design. In practice, some of the second-order interaction effects can be ignored. In this case, the main effect and the negligible second-order interaction effects can be aliased while estimating main effects. In this paper, we first review the theory, development and results of partially clear main effect design. Then taking three levels as an example, some results of the design of partially clear main effect at high level are given. Compared with the two level cases, there are more kinds of high level partially clear main effect designs. Finally, through the random simulation comparison, the advantages of three-level partially clear main effect designs in estimating parameters are verified.

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