| 常用回归模型的A- 最优设计 |
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| 引用本文： | 张宣昊. 常用回归模型的A- 最优设计[J]. 上海第二工业大学学报, 2014, 0(3): 220-222 |
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| 作者姓名： | 张宣昊 |
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| 作者单位： | 上海第二工业大学理学院,上海201209 |
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| 基金项目： | 上海第二工业大学重点学科建设项目（No.XXKZD1304）资助 |
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| 摘 要： | 介绍回归模型的最优试验设计方法,给出最优设计准则及其统计意义。基于考虑参数估计精度的A-最优设计准则,利用MATLAB数学计算软件对常用的3种回归模型——一元一次、一元二次和指数模型分别构造其相应的A-最优设计,从而对常用回归模型的应用给出试验点选择的依据。
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| 关 键 词： | 常用回归模型 设计准则 A-最优设计 |
A-Optimal Designs for the Commonly Used Regression Models |
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| ZHANG Xuan-hao. A-Optimal Designs for the Commonly Used Regression Models[J]. Journal of Shanghai Second Polytechnic University, 2014, 0(3): 220-222 |
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| Authors: | ZHANG Xuan-hao |
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| Affiliation: | ZHANG Xuan-hao (School of Science, Shanghai Second Polytechnic University, Shanghai 201209, E R. China) |
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| Abstract: | The optimal experiment design method for regression models is described. The optimal design criteria and the statistical meaning is given. Based on considering parameter estimation precision A-optimal design criteria, three commonly used regression models：linear, quadratic and exponential models are constructed its corresponding A-optimal design by using of mathematical comput-ing software MATLAB. The applications for commonly used regression models are given for the selection of the experiment points. |
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| Keywords: | commonly used regression models design criterion A-optimal designs |
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