Nonorthogonal Analysis of Variance using a Generalized Conjugate-Gradient Algorithm
提出一种基于单元格均值的迭代方法,精确计算非正交方差分析,无需存储非正交设计矩阵,并推导了回归平方和估计的单调性以优化假设检验,同时适用于协方差分析问题。
Abstract A method is developed that computes an exact nonorthogonal analysis of variance using cell means. The method is iterative and does not require that the non-orthogonal design matrix be stored or formed. At each stage in the process, a balanced analysis of variance problem must be solved. A monotonicity property for the estimates of the regression sum of squares is derived that could be used to minimize iteration in hypothesis testing. An application of the algorithm to the solution of analysis of covariance problems is also given.