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How to read GLM results / choose the best model?

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Hi, I am wondering in Matlab, which indicator should be used to choose the best model?
When I use fitglm, in addition to the estimates of coefficients, I get
5802 observations, 5796 error degrees of freedom Estimated Dispersion: 0.474 F-statistic vs. constant model: 647, p-value = 0
What is this "Estimated Dispersion"? Is it equivalent to adjuste-Rsquare? The higher the better the model is or the lower the better?
If I use [b,dev,stats]=glmfit, I get dev (deviance), does that tell how good the model fits?Anything is stats useful in telling how good the model fits?
thanks a lot!!!

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