Analysis of Deviance for Generalized Linear Models

Fit Analyses

Analysis of Deviance for Generalized Linear Models

The Analysis of Deviance table for generalized linear models, as illustrated by Figure 39.12, includes the following:

Source: indicates the source of the variation. Sources include Model for the fitted regression and Error for the residual error. C Total is the sum of the Model and Error components, and it is the total variation after correcting for the mean. When the model does not have an intercept term, the uncorrected total variation (U Total) is printed.
DF: is the degrees of freedom associated with each source of variation.
Deviance: is the deviance for each source of variation.
Deviance/DF: is the deviance divided by its associated degrees of freedom.

When the scale parameter is a constant specified in the method dialog, or when the response has a Poisson or binomial distribution, the table also contains the following:

Scaled Dev: is the deviance divided by the dispersion parameter.
Pr>Scaled Dev: is the probability of obtaining a greater scaled deviance statistic than that observed if the null hypothesis is true. Under the null hypothesis, all parameters are 0 except for the intercept, and the scaled deviance has an approximate $\chi^2$ distribution.

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