Gender equality means that women and men have equal rights in many fields, and that all individuals benefit from all social services equally without any discrimination. Inequality in this area is called gender inequality. Various measurement tools have been developed to measure gender inequality. The Social Institutions and Gender Index (SIGI) is one of these measurement methods. In the study, discrimination in the family and restricted civil liberties, which are two sub-dimensions of SIGI, are discussed and the relationship between them is investigated within MENA countries. In the investigation of this relationship, nonlinear canonical correlation analysis, which is one of the multivariate statistical methods and used in the analysis of categorical variables, is preferred. As a result of the analysis, the existence of the relationship between the variables belonging to the sub-dimensions is confirmed by the Chi-Square independence test, and the strength of the relationship is determined by calculating the contingency coefficient obtained as a result of this test. According to the findings, a very high correlation is determined between the two sub-dimensions and most of the variables of these sub-dimensions.