Testing the equality means of several log-normal distributions |
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Authors: | Ali Akbar Jafari Kamel Abdollahnezhad |
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Institution: | 1. Department of Statistics, Yazd University, Yazd, Iran;2. Department of Statistics, Golestan University, Gorgan, Iran |
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Abstract: | Researches propose various methods for comparing the means of two log-normal distributions. Some of these methods have been recently extended to test the equality means of several log-normal populations. Investigations show that none of the established methods is satisfactory. In this article, we provide three methods based on the computational approach test, which is a parametric bootstrap approach, for testing the means of several log-normal distributions. Further, we compare our methods with the existing methods through Monte Carlo simulation. The numerical results show that the Type I errors of these procedures are satisfactory regardless of the sample size, number of populations, and the true parameters. Finally, we explain the considered methods by real examples. |
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Keywords: | Computational approach test Generalized p-value Log-normal distribution Maximum likelihood estimation Type I error |
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