Predicting Censored Count Data with COM-Poisson Regression

TitlePredicting Censored Count Data with COM-Poisson Regression
Publication TypeWorking Paper
Year of Publication2010
AuthorsSellers, K. F., and G. Shmueli
Series TitleWorking Paper RHS 06-129
InstitutionSmith School of Business, University of Maryland

Censored count data are encountered in many applications, often due to a data collection mechanism that introduces censoring. A common example is questionnaires with question answers of the type 0,1,2,3+. We consider the problem of predicting a censored output variable Y , given a set of complete predictors X. The common solution would be to use adaptations for Poisson or negative binomial regression models that account for the censoring. We study two alternatives that allow for
both over- and under-dispersion: Conway-Maxwell-Poisson (COM-Poisson) regression, and generalized Poisson regression models, each with adaptations for censoring. We compare the predictive power of these models by applying them to a German panel dataset on fertility, where we introduce censoring of dierent levels into the outcome variable. We explore two additional variants: (1) using the mean versus the median of the predictive count distribution, and (2) ensembles of COM-Poisson models based on the parametric and non-parametric bootstrap.

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