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一种构造三水平因子超饱和设计的准则和算法

A CRITERION AND AN ALGORITHM ON CONSTRUCTING 3-LEVEL FACTORIAL SUPERSATURATED DESIGNS

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【作者】 刘民千张润楚

【Author】 LIU MINQIAN (Department of Information Management and Management Science, School of Management, Tianjin University, Tianjin 300072) ZHANG RUNCHU (Department of Statistics, School of Mathematical Science, Nankai University, Tianjin 300071)

【机构】 天津大学管理学院信息管理与管理科学系!天津300072南开大学数学科学学院统计学系!天津300071

【摘要】 在工业统计试验和其他科学试验中,常遇到因子个数多而所允许的试验次数少的情况,这时要用到超饱和设计.以前的文章仅研究了二水平因子的超饱和设计,本文对于三水平因子的超饱和设计提出了一种基于典则相关意义下的优良性准则和构造算法,并给出了试验次数为9和18可分别安排到26和30个因子的三水平超饱和设计表.

【Abstract】 In industrial statistics and other scientific experiments, there are often situations in which the number of factors is very large as compared with the number of runs being permitted. Supersaturated designs are applied to these occasions. In this pa- per, a criterion and an algorithm are given based on canonical correlations for constructing 3-level factorial supersaturated designs. With the criterion and algorithm, the 3-level su- persaturated designs with 9 runs, 26 factors and 18 runs, 30 factors are constructed and tabulated.

【基金】 国家自然科学基金
  • 【文献出处】 应用数学学报 ,ACTA MATHEMATICAE APPLICATAE SINICA , 编辑部邮箱 ,2000年02期
  • 【分类号】TB11
  • 【被引频次】4
  • 【下载频次】129
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