Deviance Residuals

After fitting a generalized linear model to the data, to check the adequacy of the respective model, one usually computes various residual statistics. The deviance residual is computed as:

rD = sign(y-m) sqrt(di)

Where Sdi = D, and D is the overall deviance measure of discrepancy of a generalized linear model (see McCullagh and Nelder, 1989, for details). Thus, the deviance statistic for an observation reflects its contribution to the overall goodness of fit (deviance) of the model.

See also the Generalized Linear/Nonlinear Model method of analysis.