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This tag is very ambiguous. Dispersion is a general term for how spread apart values are. For questions related to disease dissemination content, use the tag epidemiology. For other meanings of dispersion consider using a related tag or creating a new one.

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How does R find the dispersion parameter in a GLM?

One thing to keep in mind is that most GLM estimates of dispersion are approximations (and that even if you went to the trouble of getting a maximum likelihood estimate it would be biased for small sample … I'm not clear that your question ("does my model fit better with dispersion 1 or the estimated dispersion") makes sense; changing the dispersion does not change the predictions of the model at all. …
Ben Bolker's user avatar
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How does dispersion parameter affects results of gamma glm?

Short answer (I hope to come back and expand on this): dispersion parameter definitely affects likelihood, deviance, confidence intervals, p-values, pseudo-R^2. (Not coefficients. … Log-likelihood, deviance, Wald CI width are directly proportional to dispersion parameters.) …
Ben Bolker's user avatar
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