Title :
Pearson residuals in multi-way contingency tables
Author :
Tsumoto, Shusaku ; Hirano, Shoji ; Abe, Hidenao
Author_Institution :
Dept. of Med. Inf., Shimane Univ., Izumo, Japan
Abstract :
This paper shows the meaning of Pearson residuals as an indicator of statistical independence in a multi-way contingency table. While information granules of statistical independence of two variables can be viewed as determinants of 2 × 2- submatrices, those of multivariate cases consist of linear sum of residuals for odds ratios, which can be viewed as an extention of determinants in 2 × 2 matrices.
Keywords :
matrix algebra; statistical analysis; Pearson residual; multivariate case; multiway contingency table; statistical independence; Biomedical informatics; Bismuth; Cybernetics; Data mining; Matrices; Probability; Statistics; USA Councils; Contingency Table; Data Mining; Granular Computing; Pearson Residuals;
Conference_Titel :
Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
978-1-4244-2793-2
Electronic_ISBN :
1062-922X
DOI :
10.1109/ICSMC.2009.5346334
