Geometrical and Combinatorial Nature of Pearson Residuals

Shusaku Tsumoto, Shoji Hirano · 2010

This paper focuses on residual analysis of statistical independence of multiple variables from the viewpoint of linear algebra. The results show that multidimensional residuals are represented as linear sum of determinants of 2 × 2 submatrices, which can be viewed as information granules measuring the degree of statistical dependence.

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