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非正交协方差分析的迭代方法AI 解读

This paper develops a method for handling a nonorthogonal analysis of covariance in an iterative manner using balanced analysis of variance residual and expectation operators. In essence, it extends previous work of the author for the nonorthogonal AOV problem to the nonorthogonal AOC problem. The iterative AOC method has the property of guaranteed convergence. In addition, under certain (convergent) conditions, successive approximations to the residual sum of squares for…

非正交协方差分析的迭代方法AI 解读

This paper develops a method for handling a nonorthogonal analysis of covariance in an iterative manner using balanced analysis of variance residual and expectation operators. In essence, it extends previous work of the author for the nonorthogonal AOV problem to the nonorthogonal AOC problem. The iterative AOC method has the property of guaranteed convergence. In addition, under certain (convergent) conditions, successive approximations to the residual sum of squares for…

利用迭代改进与平衡残差进行非正交方差分析AI 解读

A method is developed for computing an exact nonorthogonal analysis of variance using cell means. This is accomplished without forming or using computer storage for X 0, or X′0 X 0, or an orthogonal transformation of X 0, where X 0 is the N × p nonorthogonal design matrix. The method is a convergent iterative method which utilizes balanced analysis-of-variance estimates and residuals iteratively in solving the relevant normal equations and conducting tests of hypotheses. A…

利用迭代改进和平衡残差的非正交方差分析AI 解读

A method is developed for computing an exact nonorthogonal analysis of variance using cell means. This is accomplished without forming or using computer storage for X 0, or X′0 X 0, or an orthogonal transformation of X 0, where X 0 is the N × p nonorthogonal design matrix. The method is a convergent iterative method which utilizes balanced analysis-of-variance estimates and residuals iteratively in solving the relevant normal equations and conducting tests of hypotheses. A…