From rough set theory to evidence theory
Advances in the Dempster-Shafer theory of evidence
Information Sciences: an International Journal
Information Sciences—Informatics and Computer Science: An International Journal
Pearson residuals in multi-way contingency tables
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Distribution of derminants of contingency tables
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Residual analysis of statistical dependence in multiway contingency tables
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
Combinatorics in Pearson residuals
International Journal of Knowledge Engineering and Soft Data Paradigms
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The degree of granularity of a contingency table is closely related with that of dependence of contingency tables. We investigate these relations from the viewpoints of determinantal devisors and determinants. From the results of determinantal divisors, it seems that the devisors provide information on the degree of dependencies between the matrix of the whole elements and its submatrices and the increase of the degree of granularity may lead to that of dependence. However, the other approach shows that a constraint on the sample size of a contingency table is very strong, which leads to the evaluation formula where the increase of degree of granularity gives the decrease of dependency.