Modeling continuous auxiliary covariate data in generalized linear mixed models using the kernel smoother.
Auxiliary covariate data are often collected in biomedical studies when the primary exposure variable is only assessed on a subset of the study subjects. In this study, we investigate a semiparametric-estimated likelihood estimation for the generalized linear mixed models (GLMM) in the presence of a continuous auxiliary variable. We use a kernel smoother to handle continuous auxiliary data. The method can be used to deal with missing or mismeasured covariate data problems in a variety of applications when an auxiliary variable is available and cluster sizes are not too small. Simulation study results show that the proposed method performs better than that which ignores the random effects in GLMM and that which only uses data in the validation data set. We illustrate the proposed method with a real data set from a recent environmental epidemiology study on the maternal serum 1,1-dichloro-2,2-bis(p-chlorophenyl) ethylene level in relationship to preterm births.
Department of Mathematics and Statistics, San Diego State University, CA 92182, USA. jchen@sciences.sdsu.edu <jchen@sciences.sdsu.edu>
Jianwei
J
Chen
Chii-Dean
CD
Lin
D000704:Analysis of Variance; D002648:Child; D003633:Dichlorodiphenyl Dichloroethylene / Q000031:analogs & derivatives / Q000633:toxicity; D005260:Female; D006801:Humans; D007231:Infant, Newborn; D016013:Likelihood Functions; D016014:Linear Models; D018811:Maternal Exposure / Q000009:adverse effects; D015233:Models, Statistical; D011247:Pregnancy; D047928:Premature Birth / Q000139:chemically induced / Q000453:epidemiology; D014481:United States / Q000453:epidemiology
D003633:Dichlorodiphenyl Dichloroethylene