Title :
Contingency matrix theory
Author :
Tsumoto, Shusaku ; Hirano, Shoji
Author_Institution :
Shimane Univ., Izumo
Abstract :
A contingency table summarizes the conditional frequencies of two attributes and shows how these two attributes are dependent on each other with the information on a partition of universe generated by these attributes. This paper discusses statistical independence in a contingency table from the viewpoint of matrix theory. Statistical independence is equivalent to linear dependence of all columns or rows. Also, the equations of statistical independence are equivalent to those on collinearity of projective geometry.
Keywords :
geometry; matrix algebra; statistics; contingency table; linear dependence; matrix theory; projective geometry; statistical independence; Data mining; Equations; Frequency; Geometry; Information systems; Matrices; Probability; Rough sets; Statistics;
Conference_Titel :
Systems, Man and Cybernetics, 2007. ISIC. IEEE International Conference on
Conference_Location :
Montreal, Que.
Print_ISBN :
978-1-4244-0990-7
Electronic_ISBN :
978-1-4244-0991-4
DOI :
10.1109/ICSMC.2007.4413917
