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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Abbas Bahrampour & Zeynab Avazzadeh & Mohammad Reza Mahmoudi & António M. Lopes, 2022. "Improved Confidence Interval and Hypothesis Testing for the Ratio of the Coefficients of Variation of Two Uncorrelated Populations," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3495-:d:924554
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    References listed on IDEAS

    as
    1. Ali Akbar Jafari, 2015. "Inferences on the Coefficients of Variation in a Multivariate Normal Population," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 44(12), pages 2630-2643, June.
    2. A. Wong & L. Jiang, 2019. "Improved Small Sample Inference on the Ratio of Two Coefficients of Variation of Two Independent Lognormal Distributions," Journal of Probability and Statistics, Hindawi, vol. 2019, pages 1-7, March.
    3. Mohammad Reza Mahmoudi & Roya Nasirzadeh & Mahmoud Mohammadi, 2019. "On the ratio of two independent skewnesses," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(7), pages 1721-1727, April.
    4. Ali Jafari & Mohammad Kazemi, 2013. "A parametric bootstrap approach for the equality of coefficients of variation," Computational Statistics, Springer, vol. 28(6), pages 2621-2639, December.
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