Tensor Analysis of ANOVA Decomposition
- 1 December 1983
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 78 (384) , 894
- https://doi.org/10.2307/2288201
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.Keywords
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