First Order Autoregressive Mixed Effects Zero Inflated Poisson Model for Longitudinal Data - A Bayesian Approach

• In Event: 35.034 - Some Sharp Statistics

Abstract

The First Order Autoregressive (AR(1)) Mixed Effects Zero Inflated Poisson (ZIP) Model was developed to analyze longitudinal zero inflated Poisson data. The model describes the effect of covariates via regression and time varying correlations within subject. Simulation studies demonstrate the capability of Bayesian methods to estimate the parameters of the AR(1) ZIP model for longitudinal zero inflated Poisson data. However, a tremendous computation time and a huge sample size are required by the full AR(1) ZIP model. A simulation is thus carried out to examine the recovery of fixed effect parameters under a series of submodels of the full AR(1) model.

Authors

• Chin-Fang Weng, Census Bureau U.S.

• Robert J. Mislevy, Educational Testing Service