The Deviance residuals (RD) test

Deviance residuals are a model comparison tool, useful for both spatial and space-time point process models. Deviance residuals compare the log-likelihood between two models, within each bin. With deviance residuals one can see which forecast is performing better bin-by-bin. A residual greater than zero indicates places where model 1 if preferred, and a residual less than zero indicates places where model 2 is preferred. Summing up all of the deviance residuals provides a likelihood ratio score which indicates which forecast is performing better overall.