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Certainly you can speak of weighted quantile regression. I'm not sure what you're thinking about when you refer to a weighted Fisher test. The Fisher test has not been discussed in this thread. Moreover, as far as I know, you can't use weights with the Fisher exact test (or at least not in Stata's implementation of it.)
I was wrong with the Fisher text... I'm trying to describe the "mean age [aweight = n_pat ], over(code) coeflegend test _b[1] = _b[2]" command in the methods to explain that I performed a comparison between weighted mean using this type of test but don't know what is the name of the test specifically
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