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多元回归分析

多元回归分析是一种统计方法,用于模拟一个连续因变量与两个或多个自变量(预测变量)之间的关系。该方法起源于高斯(Gauss)19世纪初的工作,并由Draper和Smith(1966)正式化,它通过估计线性方程来预测由多个预测变量引起的结果,同时考虑了混杂关系,这使其在流行病学、经济学、心理学和临床研究中不可或缺。

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来源

  1. Draper, N. R., & Smith, H. (1966). Applied Regression Analysis. John Wiley & Sons. link
  2. Cohen, J., Cohen, P., West, S. G., & Aiken, L. S. (1992). Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences (2nd ed.). Lawrence Erlbaum. link
  3. Marquardt, D. W. (1980). You should standardize the independent variables in your regression models. Discussion of a paper by G. David Knottnerus. Journal of the American Statistical Association, 75(369), 87–91. link

如何引用本页

ScholarGate. (2026, June 4). Multiple Linear Regression. ScholarGate. https://scholargate.app/zh/research-statistics/multiple-regression-analysis

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被引用于

ScholarGateMultiple Regression Analysis (Multiple Linear Regression). 于 2026-06-15 检索自 https://scholargate.app/zh/research-statistics/multiple-regression-analysis · 数据集: https://doi.org/10.5281/zenodo.20539026