Orthonormal Bases of Error Spaces and Their Use for Investigating the Normality and Variances of Residuals
误差空间的标准正交基及其在残差正态性和方差分析中的应用
Under the assumptions of a linear model with independent residuals, the elements of an orthonormal basis of the corresponding error space can be used to construct normality tests, variance homogeneity tests, and variance estimators. In comparison with other available methods, this theoretically simple approach is more generally applicable, and also yields specific improvements in some particular cases. Some constructions and applications of orthonormal bases of error spaces…