| 一类基于偏最小二乘回归分析的成分数据预测模型 |
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| 引用本文： | 张忠诚.一类基于偏最小二乘回归分析的成分数据预测模型[J].华中师范大学学报(自然科学版),2006,40(2):161-163. |
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| 作者姓名： | 张忠诚 |
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| 作者单位： | 黄冈师范学院,数学系,湖北,黄州,438000 |
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| 摘 要： | 针对“因变量和自变量都是成分数据的前提下，如何建立它们之间的线性回归”的基本问题，以经典线性回归分析法为基础，结合对称Logratio变换，建立了一种基于偏最小二乘回归分析的成分数据预测模型，并对该模型进行了理论实证分析，论证了该模型的可行性与优良性，从而为解决具有成分数据信息的多重相关变量回归问题提供新的途径．
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| 关 键 词： | 成分数据 预测模型 偏最小二乘回归分析 对称Logratio变换 |
| 文章编号： | 1000-1190（2006）02-0161-03 |
| 收稿时间： | 2005-10-20 |
| 修稿时间： | 2005-10-20 |
A compositional data forecast model based on partial least-squares regression analysis |
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| ZHANG Zhong-cheng.A compositional data forecast model based on partial least-squares regression analysis[J].Journal of Central China Normal University(Natural Sciences),2006,40(2):161-163. |
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| Authors: | ZHANG Zhong-cheng |
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| Institution: | Department of Mathematics, Huanggang Normal University, Huangzhou, Hubei 438000 |
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| Abstract: | This paper discusses the problem about how to establish the linear regression between dependent variables and indepent variables with the compositional data. Based on the traditional linear regression method and symmetrical Logratio transformation, a compositional data forecast model Based on partial least-squares regression analysis is established, then the theoretical analysis is given to show the feasibility and superiority of this model. Therefore, it gives a new way to solve the problem of mulriple correlative variables regression with the compositional data. |
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| Keywords: | compositional data forecast model partial least-squares regression analysis symmetrical Logratio transformation |
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