We propose standardized log-likelihood ratio test which is not based on any resampling methods and intensive computer method for the equality of inverse Gaussian scale parameters. Thus, in practice the proposed test is much easier to implement, especially for researchers. In order to evaluate the efficiency of the proposed test against the recent existing tests in the literature, we compare them in terms of power and type I error rate for the different number of groups and sample sizes. The results of our simulation study reveal clearly that the proposed test is quite a good alternative method even for small sample sizes and large number of groups. Besides, we illustrate the proposed test using two numerical examples.