Ratio of Coefficients of Variation for Comparing the Dispersions of Several Independent Populations

Authors

Abbas Bahrampour, Modeling in Health Research Center, Institute for Futures Studies in Health, Department of Biostatistics and Epidemiology, Faculty of Health, Kerman University of Medical Sciences, Kerman, IranFollow
Zeynab Avazzadeh, Department of Biostatistics and Epidemiology, School of Public Health, Kerman University of Medical Sciences, Kerman, IranFollow
Mohamad Reza Mahmoudi, Department of Statistics, Faculty of Science, Fasa University, Fasa, IranFollow

Abstract

The coefficient of variation (CV) is an important and useful statistical tool for comparing several populations. In cases where there are multiple populations with different means and variances, the ratio of the coefficients of variation (CVs) is a good way to compare the dispersion of the populations. Because of the possible minor differences between multiple CVs and the lack of a robust interpretation, the ratio of CVs is more accurate than the difference of CVs. When a statistical analysis consists of some simultaneous statistical tests such as equality of several CVs, multiple testing is useful. As an example, the multiple testing about the ratio of CVs is performed to evaluate and compare scale of hand, foot and mouth disease (SHFMD) of 79911 patients between January 2010 and December 2017 in the three Malaysian provinces.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120121

Recommended Citation

Bahrampour, Abbas; Avazzadeh, Zeynab; and Reza Mahmoudi, Mohamad (2023) "Ratio of Coefficients of Variation for Comparing the Dispersions of Several Independent Populations," Journal of Statistics Applications & Probability: Vol. 12: Iss. 1, Article 21.
DOI: http://dx.doi.org/10.18576/jsap/120121
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss1/21