Title :
Degree of freedom and numbers of subdeterminants in contingency table
Author :
Tsumoto, Shusaku ; Hirano, Shoji
Author_Institution :
Dept. of Med. Inf., Shimane Univ., Izumo, Japan
Abstract :
This paper focuses on the degree of freedom and number of subdetermiants in a pearson residual in a multiway contingency table. 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, the number of subderminants in a residual is equal to the degree of freedom.
Keywords :
matrix algebra; statistical analysis; 2 × 2 submatrices; degree of freedom; linear sum; multidimensional residuals; multiway contingency table; pearson residual; statistical dependence; sub determinants; XML; Contingency Matrix Theory; Degree of Freedom; Information Granules; Pearson Residuals; Statistical Independence;
Conference_Titel :
Granular Computing (GrC), 2012 IEEE International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-4673-2310-9
DOI :
10.1109/GrC.2012.6468603
