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Interpret dispersion parameter in gamma GLM?

A GLM is a model for the conditional distribution of the data; it's a model at each combination of predictors. In general it's NOT a model for the marginal distribution of the response, which might ...
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How to simulate data for a Gamma glm?

A gamma GLM uses a constant shape parameter. The shape is related to the dispersion (the gamma shape = $1/\phi$) and GLMs are constant-dispersion. GLMMs are based on GLMs but with random effects added ...
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