| 基于残差的趋势性分析检验线性回归关系 |
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| 引用本文： | 梅长林,续秋霞,魏传华.基于残差的趋势性分析检验线性回归关系[J].工程数学学报,2004,21(1):13-19,26. |
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| 作者姓名： | 梅长林 续秋霞 魏传华 |
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| 作者单位： | 西安交通大学理学院,西安,710049 |
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| 基金项目： | 国家自然科学基金资助项目 (6 0 0 75 0 0 1 ) |
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| 摘 要： | 通过对回归模型的拟合残差的趋势性分析，分别在重复测量和非重复测量下提出了检验线性回归关系的方法。实例分析与模拟试验表明所提出的检验方法具有满意的功效。
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| 关 键 词： | 重复测量 残差 局部线性拟合 p-值 |
| 文章编号： | 1005-3085(2004)01-0013-07 |
Testing Linear Regression Relationship via Trend Analysis of Residuals |
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| MEIChang lin,XUQiu xia,WEIChuan hua.Testing Linear Regression Relationship via Trend Analysis of Residuals[J].Chinese Journal of Engineering Mathematics,2004,21(1):13-19,26. |
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| Authors: | MEIChang lin XUQiu xia WEIChuan hua |
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| Abstract: | Based on the trendan alysis of residuals obtained by fitting a linear regressionmodel,a method is suggested for testing the linear regression relation ship with and with out repeated measurementsre spectively .Theanalyses of somereal world problems and simulation experiments demon strate that the proposed method is rather powerful in exploring non-lin earity of a regression function . |
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| Keywords: | repeated measurements residual local linear fitting p-value |
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