Improved Confidence Interval and Hypothesis Testing for the Ratio of the Coefficients of Variation of Two Uncorrelated Populations

Abbas Bahrampour, Zeynab Avazzadeh (), Mohammad Reza Mahmoudi and António M. Lopes
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Abbas Bahrampour: Department of Biostatistics and Epidemiology, Kerman University of Medical Sciences Research Center for Modeling in Health, Institute for Futures Studies in Health, Kerman 7616913555, Iran
Zeynab Avazzadeh: Department of Biostatistics and Epidemiology, School of Public Health, Kerman University of Medical Sciences, Kerman 7616914115, Iran
Mohammad Reza Mahmoudi: Department of Statistics, Faculty of Science, Fasa University, Fasa 7461686131, Iran
António M. Lopes: LAETA/INEGI, Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal

Mathematics, 2022, vol. 10, issue 19, 1-15

Abstract: One of the most accessible and useful statistical tools for comparing independent populations in different research areas is the coefficient of variation (CV). In this study, first, the asymptotic distribution of the ratio of CV of two uncorrelated populations is investigated. Then, the outputs are used to create a confidence interval and to establish a test of hypothesis about the CV ratio of the populations. The proposed approach is compared with an alternative method, showing its superiority and effectiveness.

Keywords: ratio of CV; test of hypothesis; symmetric distributions; asymmetric distributions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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