title: Semiparametric models for multilevel overdispersed count data with extra zeros.
abstract: This study proposes semiparametric models for analysis of hierarchical count data containing excess zeros and overdispersion simultaneously. The methods discussed in this paper handle nonlinear covariate effects through flexible semiparametric multilevel regression techniques. This is performed by providing a comprehensive comparison of semiparametric multilevel zero-inflated negative binomial and semiparametric multilevel zero-inflated generalized Poisson models under the real and simulated data. An EM algorithm based on Newton-Raphson equations for maximum penalized likelihood estimation approach is developed. The performance of the proposed models is assessed by using a Monte Carlo simulation study. We also illustrated the methods by the analysis of decayed, missing, and filled teeth of children aged 5-14 years old.
authors.affiliation: 1 Department of Biostatistics, School of Public Health, Hamadan University of Medical Sciences, Hamadan, Iran.
authors.forename: Marzieh
authors.initials: M
authors.lastname: Mahmoodi
authors.affiliation: 2 Modeling of Noncommunicable Disease Research Center, Department of Biostatistics, School of Public Health, Hamadan University of Medical Sciences, Hamadan, Iran.
authors.forename: Abbas
authors.initials: A
authors.lastname: Moghimbeigi
authors.affiliation: 3 Department of Epidemiology and Biostatistics, School of Public Health, Tehran University of Medical Sciences, Tehran, Iran.
authors.forename: Kazem
authors.initials: K
authors.lastname: Mohammad
authors.affiliation: 2 Modeling of Noncommunicable Disease Research Center, Department of Biostatistics, School of Public Health, Hamadan University of Medical Sciences, Hamadan, Iran.
authors.forename: Javad
authors.initials: J
authors.lastname: Faradmal
mesh_terms: D000293:Adolescent; D035843:Biomedical Research / Q000706:statistics & numerical data; D002648:Child; D002675:Child, Preschool; D003627:Data Interpretation, Statistical; D005260:Female; D006801:Humans; D038622:Internationality; D008297:Male; D015233:Models, Statistical; D009010:Monte Carlo Method; D009909:Oral Health / Q000706:statistics & numerical data; D016012:Poisson Distribution
keywords: Semiparametric; multilevel; overdispersion; zero inflated generalized Poisson; zero inflated negative binomial