Testing the equality of several log-normal means based on a computational approach

ABSTRACT

In this study, we propose a new test based on a computational approach to test the equality of several log-normal means. We compare this test with some existing methods in terms of the type-I error rate and power using Monte Carlo simulations for varying values of number of groups and sample sizes. The simulation results indicate that the proposed test could be suggested as a good alternative for testing the equality of several log-normal means.

KEYWORDS:

• Computational approach test
• Generalized variable approach
• Log-normal distribution
• Welch test
• Hypothesis testing

MATHEMATICS SUBJECT CLASSIFICATION:

• Primary 62F03
• Secondary 65C05

Acknowledgments

The authors are thankful to the anonymous referees, whose comments and suggestions greatly improved the article.