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Hello, I used PROC GENMOD for Gamma distributions, and the scale parameter was estimated, which is . Can I estimate the
using GENMOD procedure?
Thank you in advance..
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It's not clear to me whether you have covariates or not. There is an example of fitting a gamma-distributed response in the PROC GENMOD documentation. For the intercept-only example with a log link, the doc says "the intercept is the estimated log mean of the fitted gamma distribution so that the mean ...is mu = exp(Intercept)."
For general models, the mean is conditional on the covariates (through the link function). For a particular choice of covariates , the conditional mean is mu(x) = inverse_link(x`*beta ).
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The predicted values available using the PRED= option in the OUTPUT statement provide the estimate of the mean (mu) in the population defined by each observation.