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Revisiting the Scale-Invariant, Two-Dimensional Linear Regression Method
Journal of Chemical Education ( IF 3 ) Pub Date : 2018-05-25 00:00:00 , DOI: 10.1021/acs.jchemed.6b00204
A. Beate C. Patzer 1 , Hans Bauer 2 , Christian Chang 1 , Jan Bolte 3 , Detlev Sülzle 4
Affiliation  

The scale-invariant way to analyze two-dimensional experimental and theoretical data with statistical errors in both the independent and dependent variables is revisited by using what we call the triangular linear regression method. This is compared to the standard least-squares fit approach by applying it to typical simple sets of example data from the actual chemical literature. A new add-in for Microsoft Excel, LinEstXY, and ready-to-use formulas for the scale-invariant method are provided.

中文翻译:

再谈尺度不变二维线性回归方法

通过使用所谓的三角线性回归方法,重新探讨了尺度不变的分析二维实验和理论数据的方法,该方法在自变量和因变量中均存在统计误差。通过将其应用于来自实际化学文献的典型简单示例数据集,将其与标准最小二乘拟合方法进行了比较。提供了一个新的Microsoft Excel加载项LinEstXY,以及不变比例方法的即用型公式。
更新日期:2018-05-25
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