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

A. Colin Cameron and Frank A. G. Windmeijer
Journal of Business & Economic Statistics
Vol. 14, No. 2 (Apr., 1996), pp. 209-220
DOI: 10.2307/1392433
Stable URL: http://www.jstor.org/stable/1392433
Page Count: 12
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R-Squared Measures for Count Data Regression Models with Applications to Health-Care Utilization
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Abstract

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.

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