| 混料对称设计最优性的图检验法 |
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| 引用本文： | 李光辉,朱志彬,燕飞,张崇岐. 混料对称设计最优性的图检验法[J]. 系统科学与数学, 2020, 0(2): 355-365 |
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| 作者姓名： | 李光辉 朱志彬 燕飞 张崇岐 |
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| 作者单位： | 凯里学院理学院;广东药科大学医药商学院;北京师范大学珠海分校应用数学学院;广州大学经济与统计学院 |
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| 基金项目： | 国家自然科学基金(11901260,11671104)资助课题。 |
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| 摘 要： | 在混料试验中,当混料模型较为复杂且混料成份较多时,要验证一个设计ξ的最优性是比较困难的.一方面,当模型或约束较为复杂时难以证明方差函数是否满足最优性准则条件,另一方面,当混料成份多于3时不能通过绘制方差函数的曲面图来观察最优性.文章提出一种可用于验证混料对称设计的最优性的图检验法,通过实例分析,这种方法是有效的.
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| 关 键 词： | 格子点集 对称设计 方差函数 |
Graphical Method in Testing the Optimality of Symmetrical Mixture Design |
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| LI Guanghui,ZHU Zhibin,YAN Fei,ZHANG Chongqi. Graphical Method in Testing the Optimality of Symmetrical Mixture Design[J]. Journal of Systems Science and Mathematical Sciences, 2020, 0(2): 355-365 |
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| Authors: | LI Guanghui ZHU Zhibin YAN Fei ZHANG Chongqi |
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| Affiliation: | (School of Science,Kaili University,Kaili 556011;Undergraduate School of Medical Business,Guangdong Pharmacentical University,Guangzhou 510006;School of Applied Mathematics,Beijing Normal University,Zhuhai 519087;School of Economics and Statistics,Guangzhou University,Guangzhou 510006) |
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| Abstract: | In a mixture experiment,a complex mixture model or a big number of mixture components makes verifying the optimality of the design difficult,i.e.,when the model or constraints are complex,it is difficult to prove whether the variance decision function satisfies the optimality criterion,or when the number of mixture components is greater than 3,the optimality cannot be observed by the surface graph of variance decision function.In this paper,a graph checking method is proposed to verify the optimality of symmetrical design of mixture.The effectiveness of this method can be showed by case analysis. |
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| Keywords: | Lattice point set symmetric design variance decision function |
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