| 正交平衡区组设计统计分析模型参数估计的矩阵表达 |
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| 引用本文： | 吴亚桢,廖靖宇,张应山,田萍,张建军.正交平衡区组设计统计分析模型参数估计的矩阵表达[J].数学的实践与认识,2012,42(16):185-189. |
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| 作者姓名： | 吴亚桢 廖靖宇 张应山 田萍 张建军 |
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| 作者单位： | 1. 许昌学院数学与统计学院,河南许昌,461000
2. 华东师范大学金融与统计学院,上海,200241 |
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| 基金项目： | 教育部高校博士点专项基金，河南省科技厅自然科学基金，河南省教育厅自然科学基金 |
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| 摘 要： | 正交平衡区组设计(或者广义正交表)是一种类似于正交拉丁方(或者正交表)的新设计,但试验次数大幅减少.定义了一种基于正交相遇平衡区组设计(或者广义正交表)的统计分析模型,根据这个模型,给出了参数的最小二乘估计的矩阵形式.
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| 关 键 词： | 正交平衡区组设计 相遇平衡区组设计 广义正交表 统计模型 参数估计 |
Matrix Expression for the Estimator of Parameters for a Statistical Analysis model of Orthogonal Balanced Block Designs |
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| WU Ya-zhen
,
LIAO Jing-yu
,
ZHANG Ying-shan
,
TIAN Ping
,
ZHANG Jian-jun.Matrix Expression for the Estimator of Parameters for a Statistical Analysis model of Orthogonal Balanced Block Designs[J].Mathematics in Practice and Theory,2012,42(16):185-189. |
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| Authors: | WU Ya-zhen LIAO Jing-yu ZHANG Ying-shan TIAN Ping ZHANG Jian-jun |
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| Institution: | 1 (1.School of Math,and Statistics,Xuchang University,Henan Xuchang 461000,China) (2.School of Finance and Statistics,East China Normal University,Shanghai 200241,China) |
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| Abstract: | Orthogonal balanced block designs(or generalized orthogonal arrays) are new ones which are similar to the orthogonal Latin squares(or orthogonal arrays),but the run size is small.In this paper,a statistical model of orthogonal meeting balanced block designs is given,on the basis of above,the least squares estimator of parameters in matrix form have been demonstrated. |
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| Keywords: | orthogonal balanced block designs meeting balanced block designs generalized orthogonal arrays statistical model the least squares estimator of parameters |
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