Statistical independence in three-variables contingency cube

This paper focuses on statistical independence of three variables in contingency data cube. While information granules of statistical independence of two variables can be viewed as determinants of 2 times 2- submatrices, those of three variables consist of several combination s of odds ratios. Thus, the determinants of 2 times 2-submatrices are regarded as special cases of odds ratios of multivarite cases.