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Apr 7, 2015 at 18:21 comment added Heisenberg It seems like the inference with odds ratio is simply copied from the log odds ratio (note how the z score is exactly the same), whereas the odds ratio SE is calculated with delta method. I was misled by a Stata page that claims odds ratio inference is done using odds ratio SE>
Apr 6, 2015 at 23:25 comment added Marquis de Carabas @Heisenberg, the standard errors are different for log odds and OR in the output I posted because they have been exponentiated for the OR. I have always assumed that significance was determined using LR test in Stata for the log odds. I think that is what Maarten mentioned above?
Apr 6, 2015 at 19:30 comment added Heisenberg @AndyW It looks similar, but mpg's standard error is different for log odds ratio and odds ratio.
Apr 6, 2015 at 6:55 comment added Heisenberg Thank you for your help. My question is more about how these softwares calculate the standard error and p-value under the hood
Apr 6, 2015 at 6:12 history answered Marquis de Carabas CC BY-SA 3.0