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Deviance is a measure of distance between two probability distributions. In the case of GLMs, (total) deviance is twice the difference in log-likelihood between the full model and the restricted model.
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How the deviance residual of a GLM model is actually calculated
However, when I run a GLM regression in R, the result gives a unique deviance residual of the model. … I would like to have 2 questions:
When there are many saturated model, which saturated model is chosen to calculate the deviance residual ? …
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What is null hypothesis in the deviance goodness of fit test for a GLM model?
To test the goodness of fit of a GLM model, we use the Deviance goodness of fit test (to compare the model with the saturated model). … Could you please tell me what is the mathematical form of the Null hypothesis in the Deviance goodness of fit test of a GLM model ? …