802
Views
12
CrossRef citations to date
0
Altmetric
Original Articles

On the relationship between multicollinearity and separation in logistic regression

ORCID Icon &
Pages 1989-1997 | Received 22 Oct 2018, Accepted 26 Feb 2019, Published online: 28 Mar 2019

References

  • Albert, A. and J. A. Anderson. 1984. On the existence of maximum likelihood estimates in logistic regression models. Biometrika 71 (1):1–10.
  • Chatelain, J. B., and K. Ralf. 2014. Spurious regressions and near multicollinearity, with an application to Aid, policies and growth. Journal of Macroeconomics 39 (PA):85–96.
  • Demidenko, E. 2001. Computational aspects of probit model. Mathematical Communications (6): 233–247.
  • Hosmer, D. W., S. Lemeshow, and R. X. Sturdivant. 2013. Applied logistic regression. (3rd edition). New York: John Wiley & Sons, Inc.
  • Midi, H., S. K. Sarkar, and S. Rana. 2013. Collinearity diagnostics of binary logistic regression model. Journal of Interdisciplinary Mathematics 13 (3):253–67. doi:https://doi.org/10.1080/09720502.2010.10700699.
  • Murray, L., H. Nguyen, Y. Lee, M. D. Remmenga, and D. Smith. 2012. Variance Inflation Factors in Regression Models with Dummy Variables, Conference Proceedings of Annual Conference on Applied Statistics in Agriculture, Kansas State University Libraries, New Prairie Press, str. 160–177.
  • Refaat, M. 2011. Credit risk scorecards: Development and implementation using SAS. Raleigh, North Carolina, USA: LULU.COM.
  • Sarlija, N., A. Bilandzic, and M. Stanic. 2017. Logistic regression modelling: procedures and pitfalls in developing and interpreting prediction models. Croatian Operational Research Review 8:631–52.
  • Shen, J., and S. Gao. 2008. A solution to separation and multicollinearity in multiple logistic regression. Journal of Data Science: Jds 6 (4):515–31.
  • Siddiqi, N. 2006. Credit risk scorecards: Developing and implementing intelligent credit scoring. Hoboken, New Jersey: John Wiley & Sons, Inc.
  • Yoo, W., R. Mayberry, S. Bae, K. Singh, Q. Peter He, and J. W. Lillard Jr. 2014. A Study of Effects of MultiCollinearity in the Multivariable Analysis. International Journal of Applied Science and Technology 4 (5):9–19.
  • Zeng, G. 2013. Metric divergence measures and information value in credit scoring. Journal of Mathematics 2013:1. Article ID 848271. doi:https://doi.org/10.1155/2013/848271.
  • Zeng, G. 2014a. A rule of thumb for reject inference in credit scoring. Mathematical finance letters. Article 2014:2. 1-13.
  • Zeng, G. 2014b. A necessary condition for a good binning algorithm in credit scoring. Applied Mathematical Sciences Applied Sciences 8 (65):3229–3243. doi:https://doi.org/10.12988/2014.44300.
  • Zeng, G. 2015. A unified definition of mutual information with applications in machine learning. Mathematical Problems in Engineering 2015. Article ID 201874. doi:https://doi.org/10.1155/2015/201874.
  • Zeng, G. 2017a. A comparison study of computational methods of kolmogorov–smirnov statistic in credit scoring. Communications in Statistics: Simulation and Computation 46 (10):7744–60. doi:https://doi.org/10.1080/03610918.2016.1249883.
  • Zeng, G. 2017b. Invariant properties of logistic regression model in credit scoring under monotonic transformations. Communications in Statistics: Theory and Methods 46 (17):8791–807. doi:https://doi.org/10.1080/03610926.2016.1193200.
  • Zeng, G. 2017c. On the existence of maximum likelihood estimates for weighted logistic regression. Communications in Statistics: Theory and Methods 46 (22):11194–203. doi:https://doi.org/10.1080/03610926.2016.1260743.
  • Zeng, G., and E. Zeng. 2018. On the three-way equivalence of AUC in credit scoring with tied scores. Communications in Statistics: Theory and Methods. doi:https://doi.org/10.1080/03610926.2018.1435814
  • Zeng, G. 2019. On the confusion matrix in credit scoring and its analytical properties. Submitted to Communications in Statistics: Theory and Method. doi:https://doi.org/10.1080/03610926.2019.1568485

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.