Analysis of deviance for nested generalized linear models
= Analysis of deviance for nested generalized linear models
= Analysis of deviance
{synonym}
The deviance of a fitted generalized linear model is
$$
D=2\{\ell_{\mathrm{sat}}-\ell_{\mathrm{fit}}\}.
$$
For regular nested models, the deviance reduction $D_0-D_1=2(\ell_1-\ell_0)$ is asymptotically chi-squared with degrees of freedom equal to the difference in fitted dimensions.