Chiang Mai Journal of Science

Upper Bounds of Generalized p-values for Testing the Coefficients of Variation of Lognormal Distributions

Paper Type	Contributed Paper
Title	Upper Bounds of Generalized p-values for Testing the Coefficients of Variation of Lognormal Distributions
Author	Rada Somkhuean, Suparat Niwitpong and Sa-aat Niwitpong*
Email	snw@kmutnb.ac.th
Abstract:  The coefficient of variation is defined as the ratio of the standard deviation to the mean. It has been widely used to compare the variability between groups of observations. Recently, there have been many researchers proposed tests and confidence intervals for the coefficients of variation of data from normal distribution.  However,  this paper presents the new generalized p-values for testing the single coefficient of variation and the difference between coefficients of variation for lognormal distribution using the generalized p-value developed by Tsui & Weerahandi [16]. Moreover, for each generalized p-value, we derive a closed form expression of its upper bound. Numerical computations illustrate the theoretical results.
Start & End Page	672 - 682
Received Date	2014-02-03
Revised Date
Accepted Date	2014-04-24
Full Text	Download
Keyword	Upper bound, generalized p-value, coefficient of variation
Volume	Vol.43 No.3 (APRIL 2016)
DOI
Citation	Somkhuean R., Niwitpong S. and Niwitpong S., Upper Bounds of Generalized p-values for Testing the Coefficients of Variation of Lognormal Distributions, Chiang Mai J. Sci., 2016; 43(3): 672-682.
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