Factorization of the residual operator and canonical decomposition of nonorthogonal factors in the analysis of variance
非正交方差分析中残差算子的因子分解与典范分解
A factorization is given of the residual operator for nonorthogonal analysis of variance. It is interpreted geometrically in terms of the critical angles between the subspaces determined by the factors. The factorization determines a recursive procedure for analysis as described by Wilkinson (1970). Canonical components are defined and a method of computing them is given together with formulae for their variances, since these would be required for combining information, as…