Fundamenta Informaticae - Cognitive Informatics, Cognitive Computing, and Their Denotational Mathematical Foundations (I)
Contingency matrix theory: Statistical dependence in a contingency table
Information Sciences: an International Journal
Contingency Matrix Theory II: Degree of Dependence as Granularity
Fundamenta Informaticae - Cognitive Informatics, Cognitive Computing, and Their Denotational Mathematical Foundations (II)
Information Granules of Statistical Dependence in Multiway Contingency Tables
GRC '10 Proceedings of the 2010 IEEE International Conference on Granular Computing
Geometrical and Combinatorial Nature of Pearson Residuals
GRC '10 Proceedings of the 2010 IEEE International Conference on Granular Computing
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This paper focuses on residual analysis of statistical independence of multiple variables from the viewpoint of linear algebra and combinatorics. 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. Furthermore, all the elements of information granules have combinatorial characteristics of index sets.