IDEAS home Printed from https://ideas.repec.org/a/spr/aodasc/v11y2024i3d10.1007_s40745-022-00460-2.html
   My bibliography  Save this article

An Alternative to the Beta Regression Model with Applications to OECD Employment and Cancer Data

Author

Listed:
  • Idika E. Okorie

    (Khalifa University)

  • Emmanuel Afuecheta

    (King Fahd University of Petroleum and Minerals
    Interdisciplinary Research Center for Finance and Digital Economy, KFUPM)

Abstract

In regression analysis involving response variable on the bounded unit interval [0, 1], the beta regression model often suffice as a common choice, however, there are many alternatives to the beta regression model. In this article, we add yet another new alternative to the literature called the unit upper truncated Weibull (unit UTW) regression model. We introduce a novel unit UTW distribution as an alternative to the beta distribution and we present some of its mathematical properties. The unit UTW distribution is then extended to build the unit UTW regression model. Through an extensive Monte-Carlo simulation experiments, we show that the method of maximum likelihood can provide good estimate for each parameter in the new models. We give two practical examples were the proposed models performed better than the beta distribution and the beta regression model.

Suggested Citation

  • Idika E. Okorie & Emmanuel Afuecheta, 2024. "An Alternative to the Beta Regression Model with Applications to OECD Employment and Cancer Data," Annals of Data Science, Springer, vol. 11(3), pages 887-908, June.
    • Handle: RePEc:spr:aodasc:v:11:y:2024:i:3:d:10.1007_s40745-022-00460-2
    DOI: 10.1007/s40745-022-00460-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s40745-022-00460-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s40745-022-00460-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Guilherme Pumi & Cristine Rauber & Fábio M. Bayer, 2020. "Kumaraswamy regression model with Aranda-Ordaz link function," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(4), pages 1051-1071, December.
    2. Cook, Douglas O. & Kieschnick, Robert & McCullough, B.D., 2008. "Regression analysis of proportions in finance with self selection," Journal of Empirical Finance, Elsevier, vol. 15(5), pages 860-867, December.
    3. Emrah Altun & Gauss M. Cordeiro, 2020. "The unit-improved second-degree Lindley distribution: inference and regression modeling," Computational Statistics, Springer, vol. 35(1), pages 259-279, March.
    4. Zhang, Peng & Qiu, Zhenguo & Shi, Chengchun, 2016. "simplexreg: an R package for regression analysis of proportional data using the simplex distribution," LSE Research Online Documents on Economics 102115, London School of Economics and Political Science, LSE Library.
    5. Suvra Pal & Hongbo Yu & Zachary D. Loucks & Ian M. Harris, 2020. "Illustration of the Flexibility of Generalized Gamma Distribution in Modeling Right Censored Survival Data: Analysis of Two Cancer Datasets," Annals of Data Science, Springer, vol. 7(1), pages 77-90, March.
    6. Silvia Ferrari & Francisco Cribari-Neto, 2004. "Beta Regression for Modelling Rates and Proportions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(7), pages 799-815.
    7. Paul Embrechts & Sidney Resnick & Gennady Samorodnitsky, 1999. "Extreme Value Theory as a Risk Management Tool," North American Actuarial Journal, Taylor & Francis Journals, vol. 3(2), pages 30-41.
    8. Rashad A. R. Bantan & Farrukh Jamal & Christophe Chesneau & Mohammed Elgarhy, 2021. "Theory and Applications of the Unit Gamma/Gompertz Distribution," Mathematics, MDPI, vol. 9(16), pages 1-22, August.
    9. Idika Eke Okorie & Anthony Chukwudi Akpanta & Johnson Ohakwe & David Chidi Chikezie & Chris Uche Onyemachi & Manoj Kumar Rastogi, 2021. "Zero-Truncated Poisson-Power Function Distribution," Annals of Data Science, Springer, vol. 8(1), pages 107-129, March.
    10. Renata Rojas Guerra & Fernando A. Peña-Ramírez & Marcelo Bourguignon, 2021. "The unit extended Weibull families of distributions and its applications," Journal of Applied Statistics, Taylor & Francis Journals, vol. 48(16), pages 3174-3192, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Abdul Ghaniyyu Abubakari & Suleman Nasiru & Christophe Chesneau, 2024. "A unit Weibull loss distribution with quantile regression and practical applications to actuarial science," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 34(4), pages 1-29.
    2. Korkeamäki, Timo & Virk, Nader & Wang, Haizhi & Wang, Peng, 2018. "Learning Chinese? The changing investment behavior of foreign institutions in the Chinese stock market," BOFIT Discussion Papers 19/2018, Bank of Finland Institute for Emerging Economies (BOFIT).
    3. Mustafa Ç. Korkmaz & Emrah Altun & Morad Alizadeh & M. El-Morshedy, 2021. "The Log Exponential-Power Distribution: Properties, Estimations and Quantile Regression Model," Mathematics, MDPI, vol. 9(21), pages 1-19, October.
    4. Harald Oberhofer & Michael Pfaffermayr, 2014. "Two-Part Models for Fractional Responses Defined as Ratios of Integers," Econometrics, MDPI, vol. 2(3), pages 1-22, September.
    5. Buntaine, Mark T., 2011. "Does the Asian Development Bank Respond to Past Environmental Performance when Allocating Environmentally Risky Financing?," World Development, Elsevier, vol. 39(3), pages 336-350, March.
    6. Reboul, E. & Guérin, I. & Nordman, C.J., 2021. "The gender of debt and credit: Insights from rural Tamil Nadu," World Development, Elsevier, vol. 142(C).
    7. Guilherme Pumi & Taiane Schaedler Prass & Cleiton Guollo Taufemback, 2024. "Unit-Weibull autoregressive moving average models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 33(1), pages 204-229, March.
    8. Xiong, Qizhou, 2015. "Censored Fractional Response Model: Estimating Heterogeneous Relative Risk Aversion of European Households," IWH Discussion Papers 11/2015, Halle Institute for Economic Research (IWH).
    9. Phillip Li, 2018. "Efficient MCMC estimation of inflated beta regression models," Computational Statistics, Springer, vol. 33(1), pages 127-158, March.
    10. Ospina, Raydonal & Ferrari, Silvia L.P., 2012. "A general class of zero-or-one inflated beta regression models," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1609-1623.
    11. Korkeamäki, Timo & Virk, Nader & Wang, Haizhi & Wang, Peng, 2018. "Learning Chinese? The changing investment behavior of foreign institutions in the Chinese stock market," BOFIT Discussion Papers 19/2018, Bank of Finland, Institute for Economies in Transition.
    12. repec:zbw:bofitp:2018_019 is not listed on IDEAS
    13. Esmeralda A. Ramalho & Joaquim J.S. Ramalho & José M.R. Murteira, 2011. "Alternative Estimating And Testing Empirical Strategies For Fractional Regression Models," Journal of Economic Surveys, Wiley Blackwell, vol. 25(1), pages 19-68, February.
    14. Patrícia L. Espinheira & Alisson Oliveira Silva, 2020. "Residual and influence analysis to a general class of simplex regression," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 29(2), pages 523-552, June.
    15. Birara Endalew & Adugnaw Anteneh & Kassahun Tasie, 2022. "Technical Efficiency of Teff Production Among Smallholder Farmers: Beta Regression Approach," The European Journal of Development Research, Palgrave Macmillan;European Association of Development Research and Training Institutes (EADI), vol. 34(2), pages 1076-1096, April.
    16. Yuri S. Maluf & Silvia L. P. Ferrari & Francisco F. Queiroz, 2025. "Robust beta regression through the logit transformation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 88(1), pages 61-81, January.
    17. Mussa, Richard, 2015. "Catastrophic health payments in Malawi: analysis of determinants using a zero-inflated beta regression," MPRA Paper 65201, University Library of Munich, Germany.
    18. Montoya-Blandón, Santiago & Jacho-Chávez, David T., 2020. "Semiparametric quasi maximum likelihood estimation of the fractional response model," Economics Letters, Elsevier, vol. 186(C).
    19. Fábio M. Bayer & Francisco Cribari‐Neto & Jéssica Santos, 2021. "Inflated Kumaraswamy regressions with application to water supply and sanitation in Brazil," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 75(4), pages 453-481, November.
    20. Naidu, Sirisha C., 2013. "Legal exclusions, private wealth and livelihoods: An analysis of work time allocation in protected areas," Ecological Economics, Elsevier, vol. 89(C), pages 82-91.
    21. Luiz M A Lima-Filho & Tarciana Liberal Pereira & Tatiene C Souza & Fábio M Bayer, 2020. "Process monitoring using inflated beta regression control chart," PLOS ONE, Public Library of Science, vol. 15(7), pages 1-20, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:aodasc:v:11:y:2024:i:3:d:10.1007_s40745-022-00460-2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.