Comparison of some Different Methods for Hypothesis Test of Means of Log-normal Populations

Abstract: The log-normal distribution is used to describe the positive data, that it has skewed distribution with small mean and large variance. This distribution has application in many sciences for example medicine, economics, biology and alimentary science, ect. Comparison of means of several log-normal populations always has been in focus of researchers, but the test statistic are not easy to derive or extremely complicated for this comparisons. In this paper, the different methods exist for this testing that we can point out F-test, likelihood ratio test, generalized p-value approach and computational approach test. In this line with help of simulation studies, in this methods we compare and evaluate size and power test.