Comparison of Tests for the Equality of Several Log-Normal Means
Abstract
In this paper, we
focused on testing for the equality of several log-normal means since the
log-normal distribution is one of the most common distribution for analyzing
positive and right-skewed data. Recently, many researchers proposed a lot of methods based on likelihood-based methods, generalized pivotal-based methods, bootstrap-based
methods for this case. Apparently because there is not exact result related
with which test is better than others in which cases, our goal shed light on
this important problem. For this reason, we investigate these methods and
compare them with each other by simulation study.
Keywords
References
- 1] Chang, C.H. and Pal, N., “A revisit to the Behren-Fisher Problem: comparison of five test methods”, Communications in Statistics-Simulation and Computation, 37(6):1064-1085, (2008).
- [2] Chang, C.H., Lin, J.J. and Pal, N., “Testing the equality of several gamma means: a parametric bootstrap method with applications”, Computational Statistics, 26(1):55-76, (2011).
- [3] Crow, E.L. and Shimizu, K., Lognormal distribution, Mercel Dekker, New York, (1998).
- [4] Gill, P.S., “Small-sample inference for the comparison of means of log-normal distributions”, Biometrics, 60(2):525–527, (2004).
- [5] Gökpınar, F. and Gökpınar, E., "Testing the equality of several log-normal means based on a computational approach," Communications in Statistics-Simulation and Computation 46(3): 1998-2010, (2017).
- [6] Gökpınar, E. and Gökpınar, F., “A test based on computational approach for equality of means under unequal variance assumption”, Hacettepe Journal of Mathematics and Statistics, 41(4):605-613, (2012).
- [7] Gökpınar, E., Polat, E., Gokpinar, F. and Gunay, S., “A new computational approach for testing equality of ınverse gaussian means under heterogenity”, Hacettepe Journal of Mathematics and Statistics, 42(5):581-590, (2013).
- [8] Gökpınar, F. and Gökpınar, E., “A Computational approach for testing of coefficients of variation in k normal population”, Hacettepe Journal of Mathematics and Statistics, 44(5):1197-1213, (2015a).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Esra Gökpınar
Gazi University, Department of Statistics
Türkiye
Publication Date
September 20, 2017
Submission Date
April 19, 2017
Acceptance Date
-
Published in Issue
Year 2017 Volume: 30 Number: 3