Random effects logistic regression analysis with auxiliary covariates
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Published on: June 25, 2019
Haibo Zhou1, Jianwei Chen, Jianwen Cai
1Department of Biostatistics, University of North Carolina at Chapel Hill, 27599-7420, USA. zhou@bios.unc.edu
Abstract:
We study a semiparametric estimation method for the random effects logistic regression when there is auxiliary covariate information about the main exposure variable. We extend the semiparametric estimator of Pepe and Fleming (1991, Journal of the American Statistical Association 86, 108-113) to the random effects model using the best linear unbiased prediction approach of Henderson (1975, Biometrics 31, 423-448). The method can be used to handle the missing covariate or mismeasured covariate data problems in a variety of real applications. Simulation study results show that the proposed method outperforms the existing methods. We analyzed a data set from the Collaborative Perinatal Project using the proposed method and found that the use of DDT increases the risk of preterm births among U.S. children.
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