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通过在Microsoft Excel中拟合分段回归模型进行阈值检测。

Threshold detection by fitting segmented regression models in Microsoft Excel.

作者信息

Hopper Amy J, Brown Angus M

机构信息

School of Life Sciences, University of Nottingham, Nottingham NG7 2UH, UK.

Department of Neurology, University of Washington, Seattle WA 98195, USA.

出版信息

MethodsX. 2025 Aug 19;15:103573. doi: 10.1016/j.mex.2025.103573. eCollection 2025 Dec.

Abstract

We present a generally applicable method for segmented regression analysis, which is suitable for describing data that follow two distinct functions that meet at an unknown transition or break point and is particularly useful for detecting thresholds. Although segmented regression analysis is available in Matlab and R, it requires specialist knowledge beyond the expertise of many researchers. We illustrate a method for fitting experimental data with two distinct segmented linear functions using SOLVER, freely available with Microsoft Excel. A spreadsheet template is created for input of experimental data and the fit between the model and the data optimised using SOLVER's iterative least squares fitting routine to estimate the transition point. We then demonstrate how the method can be expanded to incorporate combinations of linear and non-linear functions. The method is ideal for rapid processing of data and sufficiently flexible to allow for modifications to functions when required. •Experimental data that follow a model comprising two distinct functions that meet at an unknown transition point is amenable to segmented regression analysis. •We describe a method that uses SOLVER, an add-in that is freely available with Microsoft Excel, to carry out this analysis. •The method does not require any specialist programming knowledge.

摘要

我们提出了一种适用于分段回归分析的通用方法,该方法适用于描述遵循两个不同函数的数据,这两个函数在一个未知的转变点或断点处相交,并且对于检测阈值特别有用。尽管Matlab和R中都有分段回归分析,但它需要许多研究人员专业知识之外的专门知识。我们说明了一种使用随Microsoft Excel免费提供的“规划求解器”(SOLVER)将实验数据与两个不同的分段线性函数进行拟合的方法。创建了一个电子表格模板用于输入实验数据,并使用“规划求解器”的迭代最小二乘法拟合例程优化模型与数据之间的拟合,以估计转变点。然后,我们演示了如何扩展该方法以纳入线性和非线性函数的组合。该方法非常适合快速处理数据,并且具有足够的灵活性,以便在需要时对函数进行修改。

•遵循包含在未知转变点处相交的两个不同函数的模型的实验数据适合进行分段回归分析。

•我们描述了一种使用随Microsoft Excel免费提供的加载项“规划求解器”来进行此分析的方法。

•该方法不需要任何专门的编程知识。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8ffc/12398228/52385da99503/ga1.jpg

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