title: Robust Logistic and Probit Methods for Binary and Multinomial Regression.
abstract: In this paper we introduce new robust estimators for the logistic and probit regressions for binary, multinomial, nominal and ordinal data and apply these models to estimate the parameters when outliers or inluential observations are present. Maximum likelihood estimates don't behave well when outliers or inluential observations are present. One remedy is to remove inluential observations from the data and then apply the maximum likelihood technique on the deleted data. Another approach is to employ a robust technique that can handle outliers and inluential observations without removing any observations from the data sets. The robustness of the method is tested using real and simulated data sets.
authors.affiliation: School of Graduate Studies and Research, Meharry Medical College, Nashville, TN 37208, USA.
authors.forename: M A
authors.initials: MA
authors.lastname: Tabatabai
authors.affiliation: Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
authors.forename: H
authors.initials: H
authors.lastname: Li
authors.affiliation: Department of Mathematics, New Jersey City University, Jersey City, NJ 07305, USA.
authors.forename: W M
authors.initials: WM
authors.lastname: Eby
authors.affiliation: Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA.
authors.forename: J J
authors.initials: JJ
authors.lastname: Kengwoung-Keumo
authors.affiliation: Department of Pathology and Comprehensive Cancer Center, University of Alabama at Birmingham, Birmingham, AL 35294, USA.
authors.forename: U
authors.initials: U
authors.lastname: Manne
authors.affiliation: Department of Medicine Division of Preventive Medicine and Comprehensive Cancer Center, University of Alabama at Birmingham, Birmingham, AL 35294, USA.
authors.forename: S
authors.initials: S
authors.lastname: Bae
authors.affiliation: Department of Medicine Division of Preventive Medicine and Comprehensive Cancer Center, University of Alabama at Birmingham, Birmingham, AL 35294, USA.
authors.forename: M
authors.initials: M
authors.lastname: Fouad
authors.affiliation: Department of Medicine Division of Preventive Medicine and Comprehensive Cancer Center, University of Alabama at Birmingham, Birmingham, AL 35294, USA.
authors.forename: K P
authors.initials: KP
authors.lastname: Singh