Testing the homogeneity of inverse Gaussian scale-like parameters

A test for the homogeneity of normal variances was proposed by Liu and Xu [Liu, X.H., Xu, X.Z., 2010. A generalized p-value approach for testing the homogeneity of variances. Statistics and Probability Letters 80, 1486–1491]. For testing the homogeneity of inverse Gaussian scale-like parameters, a parallel test is developed in this article. The proposed test is proved to have exact frequent property. The merits of the proposed method are numerically compared with the existing method with respect to their sizes and powers under different scenarios. The simulation results show that the proposed approach can perform hypothesis testing with satisfactory sizes and powers.