Comparison of testsused in comparing independent two groups in terms of type 1 error and power of test

In this study, t-test was used in parametric tests by considering the tests used to compare two independent groups. nonparametric paired group tests Mann Whitney-U test, Kolmogorov simirnov test, permutation test I.type error and the power of the test were compared using the simulation method. Two groups of comparative trials were selected in the tests used in the study. Samples were taken in the same way in each group (n = 5,10,15,30). The variance ratios of these samples were used as 1, 5, 10, 30. Also added numbers of 0.5, 1.0, 1.5, 2.0 in order to measure the power of the test. In these studies, the populations from which the groups were taken; In the populations showing the assumed binary combinations of z, t, χ2, β distributions, the number of observations were considered equal groups and calculations were made in terms of Type I error and power of the test resulting from 100000 simulation experiments. As a result, as the standard deviation increases between groups, the power of the test increases