Relation between the coefficients of simple and multiple regression models

Panov VG; Varaksin AN

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Relation between the coefficients of simple and multiple regression models

机译：简单回归模型与多元回归模型的系数之间的关系

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摘要

We consider the problem of finding the dependence of the coefficients of a multiple regression model and the coefficients of the simple correlation models that describe the predictor variables. We show that the dependence is described by a matrix equality.

机译：我们考虑发现多元回归模型的系数与描述预测变量的简单相关模型的系数之间的依存关系的问题。我们证明依赖关系由矩阵等式描述。

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来源
《Siberian Mathematical Journal》 |2010年第1期|共6页
作者
Panov VG; Varaksin AN;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
linear regression; simple regression; regression coefficients; least squares method;

机译：线性回归;简单回归;回归系数;最小二乘法;

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专利

1. Relation between the coefficients of simple and multiple regression models [J] . Panov VG, Varaksin AN Siberian Mathematical Journal . 2010,第1期

机译：简单回归模型与多元回归模型的系数之间的关系
2. The Goldilocks Dilemma: Impacts of Multicollinearity--A Comparison of Simple Linear Regression, Multiple Regression, and Ordered Variable Regression Models [J] . Grayson L. Baird, Stephen L. Bieber Journal of Modern Applied Statistical Methods . 2016,第1期

机译：金发姑娘困境：多重共线性的影响-简单线性回归，多元回归和有序变量回归模型的比较
3. The Goldilocks Dilemma: Impacts of Multicollinearity--A Comparison of Simple Linear Regression, Multiple Regression, and Ordered Variable Regression Models [J] . Grayson L. Baird, Stephen L. Bieber Journal of Modern Applied Statistical Methods . 2016,第1期

机译：金发姑娘困境：多重型性的影响 - 简单线性回归，多元回归和有序变量回归模型的比较
4. On Simple Linear Regression, Multiple LinearRegression, and Elementary Probabilistic NeuralNetwork with Gaussian Kernel's Performance inModeling Toxicity Values to Fathead MinnowBased on Microtox Data, Octanol/WaterPartition Coefficient, and Various StructuralDescriptors for a 419-Compound Dataset [C] . Klaus L.E. Kaiser, Stefan P. Niculescu, Mark B. McKinnon International Workshop on Quantitative Structure-Activity Relationships in Environmental Sciences . 1997

机译：在简单的线性回归，多个线簧和基本概率神经网络与高斯内核表现形式的毒性值对Microtox数据，辛醇/水分子系数和各种结构DeStringors进行了419复合数据集
5. A COMPARISON OF SIX MODELS FOR PREDICTING CORPORATE BANKRUPTCY: MULTIPLE LINEAR REGRESSION ANALYSIS, MULTIPLE LINEAR DISCRIMINANT ANALYSIS, STEPWISE REGRESSION ANALYSIS, STEPWISE DISCRIMINANT ANALYSIS, MULTIPLE LINEAR REGRESSION ANALYSIS WITH RIDGE REGRESSION, AND MULTIPLE LINEAR DISCRIMINANT ANALYSIS WITH BIASED MINIMUM CHI-SQUARE RULE [D] . MAPP, JOHNNIE ALBERT. 1981

机译：六种预测公司破产的模型的比较：多个线性回归分析，多个线性判别分析，逐步回归分析，逐步判别分析，多个带岭点回归的线性回归分析，以及多个线性离散
6. Time-varying covariates and coefficients in Cox regression models [O] . Zhongheng Zhang, Jaakko Reinikainen, Kazeem Adedayo Adeleke, 2018

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7. THE RELATION BETWEEN REGRESSION COEFFICIENTS IN A MULTIPLE-REGRESSION ANALYSIS [O] . Monahan, J.E. 1959

机译：多元回归分析中回归系数的关系
8. THE RELATION BETWEEN REGRESSION COEFFICIENTS IN A MULTIPLE-REGRESSION ANALYSIS [R] . James E. Monahan 1959

机译：多元回归分析中回归系数的关系

Relation between the coefficients of simple and multiple regression models

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