R-Squared Measures for Count Data Regression Models With Applications to Health-Care Utilization

R-squared measures of goodness of fit for count data are rarely, if ever, reported in empirical studies or by statistical packages. We propose several R-squared measures based on various definitions of residuals for the basic Poisson regression model and for more general models such as negative bino...

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Bibliographic Details
Published in:Journal of business & economic statistics 1996-04, Vol.14 (2), p.209-220
Main Authors: Cameron, A. Colin, Windmeijer, Frank A. G.
Format: Article
Language:English
Subjects:
Binomials
Deviance
Deviance residual
Economic models
Economic statistics
Estimators
Goodness of fit
Health care
Maximum likelihood estimation
Negative binomial regression
Parametric models
Pearson residual
Poisson regression
Regression analysis
Statistical models
Statistical variance
Statistics
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Summary:R-squared measures of goodness of fit for count data are rarely, if ever, reported in empirical studies or by statistical packages. We propose several R-squared measures based on various definitions of residuals for the basic Poisson regression model and for more general models such as negative binomial that accommodate overdispersed data. The preferred R-squared measure is based on the deviance residual. An application to data on health-care-service utilization measured in counts illustrates the performance and usefulness of the various R-squared measures.
ISSN:0735-0015
1537-2707
DOI:10.1080/07350015.1996.10524648