236
Views
4
CrossRef citations to date
0
Altmetric
Article

Goodness of fit test for a zero-inflated Bernoulli regression model

ORCID Icon
Pages 756-771 | Received 05 Jul 2021, Accepted 17 Jan 2022, Published online: 04 Feb 2022

References

  • Archer, K. J., and S. Lemeshow. 2006. Goodness-of-fit test for a logistic regression model fitted using survey sample data. The Stata Journal: Promoting Communications on Statistics and Stata 6 (1):97–105. doi:10.1177/1536867X0600600106.
  • Cox, D. R. 1958. The regression analysis of binary sequences. Journal of the Royal Statistical Society: Series B (Methodological) 20 (2):215–32.
  • Diop, A., A. Diop, and J. F. Dupuy. 2011. Maximum likelihood estimation in the logistic regression model with a cure fraction. Electronic Journal of Statistics 5 (none):460–83. doi:10.1214/11-EJS616.
  • Fagerland, M. W., and D. W. Hosmer. 2012. A generalized Hosmer-Lemeshow goodness-of-fit test for multinomial logistic regression models. The Stata Journal: Promoting Communications on Statistics and Stata 12 (3):447–53. doi:10.1177/1536867X1201200307.
  • Fagerland, M. W., and D. W. Hosmer. 2017. How to test for goodness of fit in ordinal logistic regression models. The Stata Journal: Promoting Communications on Statistics and Stata 17 (3):668–86. doi:10.1177/1536867X1701700308.
  • Foutz, R. V. 1977. On the unique consistent solution to the likelihood equations. Journal of the American Statistical Association 72 (357):147–8. doi:10.1080/01621459.1977.10479926.
  • Hosmer, D. W., and N. L. Hjort. 2002. Goodness-of-fit processes for logistic regression: Simulation results. Statistics in Medicine 21 (18):2723–38.
  • Hosmer, D. W., T. Hosmer, S. Le Cessie, and S. Lemeshow. 1997. A comparison of goodness-of-fit tests for the logistic regression model. Statistics in Medicine 16 (9):965–80. doi:10.1002/(SICI)1097-0258(19970515)16:9<965::AID-SIM509>3.0.CO;2-O.
  • Hosmer, D. W., and S. Lemesbow. 1980. Goodness of fit tests for the multiple logistic regression model. Communications in Statistics - Theory and Methods 9 (10):1043–69. doi:10.1080/03610928008827941.
  • Latouche, P., S. Robin, and S. Ouadah. 2018. Goodness of fit of logistic regression models for random graphs. Journal of Computational and Graphical Statistics 27 (1):98–109. doi:10.1080/10618600.2017.1349663.
  • Lee, S. M., K. H. Pho, and C. S. Li. 2021. Validation likelihood estimation method for a zero-inflated Bernoulli regression model with missing covariates. Journal of Statistical Planning and Inference 214:105–27. doi:10.1016/j.jspi.2021.01.005.
  • Li, C. S., and M. Lu. 2021. Semiparametric zero-inflated Bernoulli regression with applications. Journal of Applied Statistics 48 (1):1–25. doi:10.1080/02664763.2021.1925228.
  • MacKenzie, D. 1979. Karl Pearson and the professional middle class. Annals of Science 36 (2):125–43. doi:10.1080/00033797900200441.
  • Nattino, G., M. L. Pennell, and S. Lemeshow. 2020. Assessing the goodness of fit of logistic regression models in large samples: A modification of the Hosmer-Lemeshow test. Biometrics 76 (2):549–60. doi:10.1111/biom.13249.
  • Osius, G., and D. Rojek. 1992. Normal goodness-of-fit tests for multinomial models with large degrees of freedom. Journal of the American Statistical Association 87 (420):1145–52. doi:10.1080/01621459.1992.10476271.
  • Pearson, K. 1900. X. On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 50 (302):157–75. doi:10.1080/14786440009463897.
  • Perera, A. A. P. N. M., M. R. Sooriyarachchi, and S. L. Wickramasuriya. 2016. A goodness of fit test for the multilevel logistic model. Communications in Statistics - Simulation and Computation 45 (2):643–59. doi:10.1080/03610918.2013.868906.
  • Pho, K. H., S. Ly, S. Ly, and T. M. Lukusa. 2019. Comparison among Akaike Information Criterion, Bayesian information criterion and Vuong’s test in model selection: A case study of violated speed regulation in Taiwan. Journal of Advanced Engineering and Computation 3 (1):293–303. doi:10.25073/jaec.201931.220.
  • Plackett, R. L. 1983. Karl Pearson and the chi-squared test. International Statistical Review / Revue Internationale de Statistique 51 (1):59–72. doi:10.2307/1402731.
  • Rossi, J. S. 2010. Chi-square test. The Corsini Encyclopedia of Psychology 1 (4): 310–311.
  • Turhan, N. S. 2020. Karl Pearsons chi-square tests. Educational Research and Reviews 15 (9):575–580.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.