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Running correlations with continuous and dichotomous variables

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I need to run correlations between 20-30 variables we created from federal datasets (includes BRFSS and CDC wonder). We created variables in stata based on a z-score we calculated for each variable at the state level. Do I simply generate a correlation matrix? Does it matter that I have both continuous and categorical variables? Do I need to worry about survey or population weights? Please help!

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