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On beta regression residuals

Author

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  • Patricia Espinheira
  • Silvia Ferrari
  • Francisco Cribari-Neto

Abstract

We propose two new residuals for the class of beta regression models, and numerically evaluate their behaviour relative to the residuals proposed by Ferrari and Cribari-Neto. Monte Carlo simulation results and empirical applications using real and simulated data are provided. The results favour one of the residuals we propose.

Suggested Citation

  • Patricia Espinheira & Silvia Ferrari & Francisco Cribari-Neto, 2008. "On beta regression residuals," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(4), pages 407-419.
    • Handle: RePEc:taf:japsta:v:35:y:2008:i:4:p:407-419
    DOI: 10.1080/02664760701834931
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    Citations

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    Cited by:

    1. Jay Verkuilen & Michael Smithson, 2012. "Mixed and Mixture Regression Models for Continuous Bounded Responses Using the Beta Distribution," Journal of Educational and Behavioral Statistics, , vol. 37(1), pages 82-113, February.
    2. Edouard Civel & Nathaly Cruz-Garcia, 2018. "Green, yellow or red lemons? Framed field experiment on houses energy labels perception," Working Papers hal-04141696, HAL.
    3. Guillermo Ferreira & Jorge Figueroa-Zúñiga & Mário Castro, 2015. "Partially linear beta regression model with autoregressive errors," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 24(4), pages 752-775, December.
    4. Edouard Civel & Nathaly Cruz, 2018. "Green, yellow or red lemons? Artefactual field experiment on houses energy labels perception," Working Papers 1809, Chaire Economie du climat.
    5. Capera-Romero, Laura & Lemus-Esquivel, Juan Sebastián & Estrada, Dairo Ayiber, 2015. "Relaciones crediticias y riesgo de contagio en el mercado interbancario no colateralizado colombiano," Chapters, in: Gómez-González, José Eduardo & Ojeda-Joya, Jair N. (ed.), Política monetaria y estabilidad financiera en economías pequeñas y abiertas, chapter 18, pages 559-616, Banco de la Republica de Colombia.
    6. Li-Chu Chien, 2011. "Diagnostic plots in beta-regression models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 38(8), pages 1607-1622, July.
    7. Jalmar M.F. Carrasco & Silvia L.P. Ferrari & Reinaldo B. Arellano-Valle, 2014. "Errors-in-variables beta regression models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(7), pages 1530-1547, July.
    8. Tariq Maqsood & Mark Edwards & Ioanna Ioannou & Ioannis Kosmidis & Tiziana Rossetto & Neil Corby, 2016. "Seismic vulnerability functions for Australian buildings by using GEM empirical vulnerability assessment guidelines," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1625-1650, February.
    9. Xiao-Feng Wang & Bo Hu & Bin Wang & Kuangnan Fang, 2014. "Bayesian generalized varying coefficient models for longitudinal proportional data with errors-in-covariates," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(6), pages 1342-1357, June.
    10. Wagner Hugo Bonat & Paulo Justiniano Ribeiro & Walmes Marques Zeviani, 2015. "Likelihood analysis for a class of beta mixed models," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(2), pages 252-266, February.
    11. Patrícia Espinheira & Silvia Ferrari & Francisco Cribari-Neto, 2014. "Bootstrap prediction intervals in beta regressions," Computational Statistics, Springer, vol. 29(5), pages 1263-1277, October.
    12. Andrade, Ana C.C. & Pereira, Gustavo H.A. & Artes, Rinaldo, 2023. "The circular quantile residual," Computational Statistics & Data Analysis, Elsevier, vol. 178(C).
    13. Tariq Maqsood & Mark Edwards & Ioanna Ioannou & Ioannis Kosmidis & Tiziana Rossetto & Neil Corby, 2016. "Seismic vulnerability functions for Australian buildings by using GEM empirical vulnerability assessment guidelines," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 80(3), pages 1625-1650, February.
    14. Zhou, Haiming & Huang, Xianzheng, 2022. "Bayesian beta regression for bounded responses with unknown supports," Computational Statistics & Data Analysis, Elsevier, vol. 167(C).
    15. Anna Serena Vergori & Serena Arima, 2022. "Transport modes and tourism seasonality in Italy: By air or by road?," Tourism Economics, , vol. 28(3), pages 583-598, May.
    16. Edilberto Cepeda-Cuervo & Vicente Núñez-Antón, 2013. "Spatial Double Generalized Beta Regression Models," Journal of Educational and Behavioral Statistics, , vol. 38(6), pages 604-628, December.
    17. Francisco Cribari-Neto & Sadraque E.F. Lucena, 2015. "Nonnested hypothesis testing in the class of varying dispersion beta regressions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(5), pages 967-985, May.
    18. 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.
    19. Gueorguieva, Ralitza & Rosenheck, Robert & Zelterman, Daniel, 2008. "Dirichlet component regression and its applications to psychiatric data," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5344-5355, August.
    20. Terezinha K. A. Ribeiro & Silvia L. P. Ferrari, 2023. "Robust estimation in beta regression via maximum L $$_q$$ q -likelihood," Statistical Papers, Springer, vol. 64(1), pages 321-353, February.
    21. Weihua Zhao & Riquan Zhang & Yazhao Lv & Jicai Liu, 2014. "Variable selection for varying dispersion beta regression model," Journal of Applied Statistics, Taylor & Francis Journals, vol. 41(1), pages 95-108, January.
    22. Espinheira, Patri­cia L. & Ferrari, Silvia L.P. & Cribari-Neto, Francisco, 2008. "Influence diagnostics in beta regression," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4417-4431, May.
    23. Zhao, Weihua & Zhang, Riquan & Huang, Zhensheng & Feng, Jingyan, 2012. "Partially linear single-index beta regression model and score test," Journal of Multivariate Analysis, Elsevier, vol. 103(1), pages 116-123, January.
    24. Cepeda-Cuervo Edilberto & Garrido Liliana, 2015. "Bayesian beta regression models with joint mean and dispersion modeling," Monte Carlo Methods and Applications, De Gruyter, vol. 21(1), pages 49-58, March.

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