单因素方差分析的回归解释

One-way Analysis of Variance Based on Multivariate Linear Regression Model

从多元线性回归模型的参数检验问题出发,结合带线性约束条件的多元线性回归模型的参数估计问题,通过建立虚拟变量回归模型,推导出单因素方差分析问题的检验方法,从而对方差分析的方差分解方法的理论依据作出了简单合理的解释。

This paper, from the parameters test problem of multivariate linear regression model and the parameter estimation of linear constraints condition of multivariate linear regression model, by establishing a virtual variable regression model, derives the test methods for one-way analysis of variance. Thus, it gives the reasonable and simple explanation for the theory of the variance decomposition method for one-way analysis of variance.