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A Hybrid Logistic Model for Case-Control Studies
Authors:Tuhao Chen  Fred M. Hoppe  Satish Iyengar  David Brent
Affiliation:(1) Department of Mathematics and Statistics, Bowling Green State University, USA;(2) Department of Mathematics and Statistics, McMaster University, USA;(3) Department of Statistics, University of Pittsburgh, USA;(4) Department of Psychiatry, University of Pittsburgh, USA
Abstract:For logistic regression in case-control studies, when risk factors associated with the outcome are exceedingly rare in the control group, the estimation of parameters in the model becomes difficult. In this paper, we propose a two-stage hybrid method to achieve this. In the first stage, we model the risk due to the rare factor, and in the second stage we model the residual risk due to the other factors using standard logistic model.
Keywords:logistic regression  maximum likelihood estimation  case-control study  child and adolescent suicide
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