| 一种构造三水平因子超饱和设计的准则和算法 |
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| 引用本文： | 刘民千,张润楚.一种构造三水平因子超饱和设计的准则和算法[J].应用数学学报,2000,23(2):161-171. |
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| 作者姓名： | 刘民千 张润楚 |
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| 作者单位： | 1. 天津大学管理学院信息管理与管理科学系,天津,300072
2. 南开大学数学科学学院统计学系,天津,300071 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 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。
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| 关 键 词： | 因析试验 超饱和设计 典则相关 三水平因设子 |
A CRITERION AND AN ALGORITHM ON CONSTRUCTING 3-LEVEL FACTORIAL SUPERSATURATED DESIGNS |
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| LIU MINQIAN,ZHANG RUNCHU.A CRITERION AND AN ALGORITHM ON CONSTRUCTING 3-LEVEL FACTORIAL SUPERSATURATED DESIGNS[J].Acta Mathematicae Applicatae Sinica,2000,23(2):161-171. |
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| Authors: | LIU MINQIAN ZHANG RUNCHU |
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| 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. |
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| Keywords: | Canonical correlation (CC) canonical correlation pattern (CCP) minimax canonical correlation criterion (mMCC-criterion) supersaturated design 3-level factorial design |
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