what kind of correlation should I use in the case of having one dependent binary variable (has been to the doctor in the past few months) and one independent categorical variable, i.e, education?
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What do you want to do, what questions do you want the data to answer? You could try logistic regression with "been to doctor" as response, education as covariate. – kjetil b halvorsen Aug 16 '15 at 19:40