Journal of Statistical Software · 2008 · 2.4K citations · 17 references
BusinessBiostatisticsEpidemiologyPharmacoeconomic ModelingStatistical ModelingCount Data ModelsGeneralized Linear ModelsInferential StatisticsCount Data AnalysisExcess Zeros ModelingHurdle ModelsHurdle RegressionNegative Binomial ModelsNegative Binomial RegressionZero-inflated ModelsZero-inflated Regression
Classical Poisson, geometric, and negative binomial regression models for count data are generalized linear models available in R's core statistics toolbox. The paper introduces a new implementation of hurdle and zero‑inflated regression models in the pscl package's hurdle() and zeroinfl() functions. The implementation re‑uses the design of base R functions and extends them, and is demonstrated on cross‑sectional medical‑care demand data. The hurdle and zero‑inflated models effectively handle over‑dispersion and excess zeros, outperforming classical counterparts, as shown in the medical‑care demand example.
The classical Poisson, geometric and negative binomial regression models for count data belong to the family of generalized linear models and are available at the core of the statistics toolbox in the R system for statistical computing. After reviewing the conceptual and computational features of these methods, a new implementation of hurdle and zero-inflated regression models in the functions <code>hurdle()</code> and <code>zeroinfl()</code> from the package <b>pscl</b> is introduced. It re-uses design and functionality of the basic R functions just as the underlying conceptual tools extend the classical models. Both hurdle and zero-inflated model, are able to incorporate over-dispersion and excess zeros-two problems that typically occur in count data sets in economics and the social sciences-better than their classical counterparts. Using cross-section data on the demand for medical care, it is illustrated how the classical as well as the zero-augmented models can be fitted, inspected and tested in practice.
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