A collaborative study including Dr. Hani Samawi, Director of the K.E. Peace Center for Biostatistics, and Dr. Vogel, Department Chair for Biostatistics, at the Jiann-Ping Hsu College of Public Health Georgia Southern University propose simple tests of diagonal symmetry for bivariate distributions intended for non-statisticians. The asymptotic null distributions for all of the proposed tests are derived in this paper. To compare the proposed tests, intensive simulation is conducted to examine the power of the proposed tests under the null and the alternative hypotheses. The proposed tests will be applied to data from previous biomedical studies.