When performing a test of conditional independence or Homogeneity of associations, one of the tests that come to mind is the Cochran or Mantel Haenszel test, furthermore, the Breslow day test. The attributes of these tests are notable and it is being recommended that log linear models can be utilized to test similar theories. This research paper takes a look at the two tests in the framework of loglinear modeling. Expanding on the knowledge of both tests by delineating how theories of homogeneous associations and conditional independence can be applied along with extra speculations and introducing a speculation of the ideas of homogeneity of associations and conditional independence in higher request connections in the context of loglinear modeling. Methods were illustrated using real life data on HIV /AIDS. The data which was classified into a 225 partial table consisted of the morbidity pattern and mortality for both genders from 2010-2014. It was revealed that the odds ratio of gender by survival status for each of the year was heterogeneous. It was also discovered that the survival status for HIV/AIDS depended on gender conditionally while controlling for the effect of the years. Finally, we observed that the conditional odds ratio for male deaths is 1.612 based on the available data

Keywords : Conditional Independence, Homogeneity of Associations, Loglinear Modeling, Cochran or Mantel Haenszel Test, Breslow Day Test