Multicollinearityy in Logistic Regression Model -Subject Review-
Abstract
Abstract:The logistic regression model is one of the modern statistical methods developed to predict the set of quantitative variables (nominal or monotonous), and it is considered as an alternative test for the simple and multiple linear regression equation as well as it is subject to the model concepts in terms of the possibility of testing the effect of the overall pattern of the group of independent variables on the dependent variable and in terms of its use For concepts of standard matching criteria, and in some cases there is a correlation between the explanatory variables which leads to contrast variation and this problem is called the problem of Multicollinearity. This research included an article review to estimate the parameters of the logistic regression model in several biased ways to reduce the problem of multicollinearity between the variables. These methods were compared through the use of the mean square error (MSE) standard. The methods presented in the research have been applied to Monte Carlo simulation data to evaluate the performance of the methods and compare them, as well as the application to real data and the simulation results and the real application that the logistic ridge estimator is the best of other method.
References
- - Abbas, Ali Khudair (2012), Using the Logistic Regression Model in Predicting Functions of Qualitative Economic Variables, Kirkuk Journal of Administrative and Economic Sciences, Volume 2, No. 2, pp. 234-253.
- - Kibria, B. M. G., Mansson, K. and Shukur, G. (2012). Performance of some logistic ridge regression estimators. Comp. Econ., 40(4), 401-414.
- - Mansson, K., Kibria, B. and Shukur, G. (2012). On Liu estimators for the logit regression model. Econ. Model., 29(4), 1483-1488.
- - Mansson, K. and Shukur, G. (2011). On ridge parameters in logistic regression. Comm. Statist. Theo. Meth., 40(18), 3366-3381.
- - Schaefer, R. L., Roi, L. D. and Wolfe, R. A. (1984). A ridge logistic estimator. Comm. Statist. Theo. Meth., 13(1), 99-113.
- - Smith, K. R., Slattery, M. L., French, T. K. (1991). Collinear nutrients and the risk of colon cancer. Journal of Clinical Epidemiolgy 44:715723.
- - Siray, G.U., Toker, S., Kacranlar, S. (2015). On the Restricted Liu Estimator in the Logistic Regression Model. Comm. Statist. Sim. Comp. 44:217-232.
- - Farhood, Suhaila Hammoud Abdullah (2014), Using Logistic Regression to Study the Factors Affecting Stock Performance (An Applied Study on the Kuwait Stock Exchange), The Public Authority for Applied Education and Training, The State of Kuwait, Statistics Department, Al-Azhar Magazine, No. 16, Pg. 47- 68.
- - Qasem, Bahaa Abdul-Razzaq (2011), Analysis of the effect of some variables on the incidence of periodontal disease using the logistic regression model, Journal of Statistical Sciences, University of Basra, No. 27, pp. 139-164.
- - Asar, Y., Genc, A. (2015)." A New Two-Parameter Ridge Estimator in Binary Logistic Regression",Communications in Statistics - Simulation and Computation, ISSN: 0361-0918 (Print) 1532-4141
- - Demosthenes B. Panagiotakos (2006) ," A comparison between Logistic Regression and Linear Discriminant Analysis for the Prediction of Categorical Health Outcomes", International Journal of Statistical Sciences, Number 5, pp (73-84).
- - Hoerl, A. E. and Kennard, R. W. (1970). Ridge regression: Biased estimation for nonorthogonal problems. Technometrics, 12(1), 55-67.
- - Hosmer, D. D. and Lemeshow, S. (2000). Applied Logistic Regression: John Wiley and Sons.
- - Inan, D., and Erdogan, B. E. (2013). Liu-type logistic estimator. Comm. Statist. Sim. Comp., 42(7), 1578-1586.
- - Kibria, B. M. G. (2003). Performance of some new ridge regression estimators. Communications in StatisticsTheory and Methods 32:419435.
- Reference: