Degree of freedom and numbers of subdeterminants in contingency table

摘要

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.