e-journal
Adjustments for R2-measures for Poisson regression models
Abstract
In regression models not only the parameter estimates and signicances of explanatory variables are of interest, but also the degree to which variation in the dependent variable can be explained by covariates. In recent publications an R2-measure based on deviance was recommended for Poisson regression models, one of the most frequently used modelling tools in epidemiological studies. However, when sample size is small relative to the number of covariates in the model, simple R2-measures may be seriously in ated and may need to be adjusted according to the number of covariates in the model. Two new adjustments for the R2-measure in Poisson regression models based on deviance residuals are presented and compared by simulation with population values. The proposed measures are also applied to real data sets.
Keywords: Adjusted R2; Poisson regression; Deviance residuals; Likelihood ratio; Degrees of freedom
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