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| 合理进行多元分析——多元多重线性回归分析 |
| Reasonably carry out multivariate analysis：multivariate multiple linear regression analysis |
| 投稿时间：2023-09-14 修订日期：2023-09-14 |
| DOI：10.11886/scjsws20230914002 |
| 中文关键词: 多元多重线性回归分析 普通最小二乘法 偏最小二乘法 主成分分析 典型相关分析 |
| 英文关键词:Multivariate multiple linear regression analysis Ordinary least squares method Partial least squares method Principal component analysis Canonical correlation analysis |
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| 中文摘要: |
| 本文目的是介绍与多元多重线性回归分析有关的基本概念、计算方法、两个实例及SAS实现。基本概念包括多元多重回归分析、普通最小二乘法、偏最小二乘法、主成分分析、典型相关分析；计算方法涉及准备数据和实施步骤；两个实例中的资料分别是“汉族男性学生的身体形态学指标与功能指标的测定结果”和“两组受试者身体素质与健康状况指标的测定结果”；借助SAS软件，对两个实例中的数据分别进行了多元多重线性回归分析，对SAS输出结果做出了解释。 |
| 英文摘要: |
| The purpose of this article was to introduce the basic concepts, calculation methods, two examples and SAS implementation related to the multivariate multiple linear regression analysis. Basic concepts included multivariate multiple regression analysis, ordinary least squares, partial least squares, principal component analysis, canonical correlation analysis; calculation methods involved data preparation and implementation steps; the data in the two examples were "measurement results of body morphology indicators and functional indicators of Han male students" and "measurement results of physical fitness and health status indicators of two groups of subjects"; with the help of SAS software, the multivariate multiple linear regression analysis was carried out on the data in the two examples, and an explanation was made for the output results of SAS. |
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