Title :
Information Granules of Statistical Dependence in Multiway Contingency Tables
Author :
Tsumoto, Shusaku ; Hirano, Shoji
Author_Institution :
Dept. of Med. Inf., Shimane Univ., Izumo, Japan
Abstract :
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.
Keywords :
determinants; statistical analysis; information granule; linear algebra; linear determinant sum; multidimensional residual; multiway contingency table; residual analysis; statistical dependence; Context; Data mining; Equations; Mathematical model; Matrices; Probability; Pearson residual; contingency table; information granules; statistical independence;
Conference_Titel :
Granular Computing (GrC), 2010 IEEE International Conference on
Conference_Location :
San Jose, CA
Print_ISBN :
978-1-4244-7964-1
DOI :
10.1109/GrC.2010.94