| 稳健线性回归法探讨分析精度与浓度之间的关系 |
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| 引用本文： | 高志,何锡文,张贵珠,李一峻,李玉环,伍孝余.稳健线性回归法探讨分析精度与浓度之间的关系[J].分析化学,1999,27(6):644-647. |
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| 作者姓名： | 高志 何锡文 张贵珠 李一峻 李玉环 伍孝余 |
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| 作者单位： | 1. 南开大学化学系,天津,300071
2. 天津地质研究院,天津,300181 |
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| 基金项目： | 国家自然科学基金(批准号29575200) |
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| 摘 要： | 研究分析精度与浓度之间的关系对于分析温度的质量控制具有重要意义。本文以土壤及水系沉积中微量元素为例，研究了不同实验室之间分析精度与被测组分浓度之间的关系。应用重新加权迭代最小二乘法（ＩＲＬＳ）成功地对分析结果的标准偏差与含量之间的关系进行了线性拟合，表明线性关系良好，与经典最小二乘法比较发现，ＩＲＬＳ法具有很好的稳健性，受离群值的影响小，回归结果也更符合实际。
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| 关 键 词： | 分析精度 重新加权迭代最小二乘法 稳健线性回归 |
Investigation on the Relationship Between Analytical Precision and Concentration With Robust Linear Regression Method |
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| Gao Zhi,He Xiwen,Zhang Guizhu,Li Yijun,Li Yuhuan,Wu Xiaoyu.Investigation on the Relationship Between Analytical Precision and Concentration With Robust Linear Regression Method[J].Chinese Journal of Analytical Chemistry,1999,27(6):644-647. |
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| Authors: | Gao Zhi He Xiwen Zhang Guizhu Li Yijun Li Yuhuan Wu Xiaoyu |
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| Abstract: | It is very important to investigate the relationship between analytical precision and concentration for quality control and assessment of analytical results. A set of analytical data of trace elements in soil and water deposit (national standard materials) were studied for the relationship between the analytical precision of inter-laboratory and the concentration. Iteratively reweighted least squares (IRLS) linear regression, a robust method, was employed in this study. The linear relationship between the standard deviation of inter-laboratory and concentration was successfully established. By the comparison with conventional least square method (LS), the regression results of IRLS were superior to those of LS. |
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| Keywords: | Analytical precision iteratively reweighted least squares linear regression |
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