• Stat Methods Med Res · Apr 2018

    Semiparametric models for multilevel overdispersed count data with extra zeros.

    • Marzieh Mahmoodi, Abbas Moghimbeigi, Kazem Mohammad, and Javad Faradmal.
    • 1 Department of Biostatistics, School of Public Health, Hamadan University of Medical Sciences, Hamadan, Iran.
    • Stat Methods Med Res. 2018 Apr 1; 27 (4): 1187-1201.

    AbstractThis 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.

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