Tensor Analysis of ANOVA Decomposition
本文用张量分析和多重线性代数的概念，展示了多因素交叉设计的方差分析与平方可积统计量的方差分析分解之间的类比，并发展了一种可直接用于计算机程序且易于推广到L2空间的张量理论。
Abstract The analogy between ANOVA for general n-factor crossed layouts and the ANOVA-type decomposition of square integrable statistics is demonstrated using the notions and notations of tensor analysis and multilinear algebra. A theory of tensors is developed in such a way that (a) it can be immediately applied in computer programs, and (b) it can be easily generalized to L 2 spaces.