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Correlation Structure and Model Selection for Negative Binomial Distribution in GEE
Authors:Jisheng Cui  Liyun Feng
Institution:1. Department of Epidemiology and Preventive Medicine , Monash University , Melbourne, Australia;2. World Health Organization Collaborating Centre for Obesity Prevention , Deakin University , Melbourne, Australia jisheng.cui@deakin.edu.au;4. Department of Epidemiology and Biostatistics, College of Public Health , Zhengzhou University , Henan, China
Abstract:A new model selection criterion, termed as the “quasi-likelihood under the independence model criterion” (QIC), was proposed by Pan (2001 Pan , W. ( 2001 ). Akaike's information criterion in generalized estimating equations . Biometrics 57 : 120125 .Crossref], PubMed], Web of Science ®] Google Scholar]) for GEE models. Cui (2007 Cui , J. ( 2007 ). QIC program and model selection in GEE analyses . Stata Journal 7 : 209220 .Web of Science ®] Google Scholar]) developed a general computing program to implement the QIC method for a range of statistical distributions. However, only a special case of the negative binomial distribution was considered in Cui (2007 Cui , J. ( 2007 ). QIC program and model selection in GEE analyses . Stata Journal 7 : 209220 .Web of Science ®] Google Scholar]), where the dispersion parameter equals to unity. This article introduces a new computing program that can be applied for the general negative binomial model, where the dispersion parameter can be any fixed value. An example is also given in this article.
Keywords:GEE  Longitudinal  Negative binomial  QIC
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