One cannot draw correlations with nominal data but the test

One cannot draw correlations with nominal data, but the test for coincidence is not inconsequential. How would this test be useful in a Title VII discrimination case? What level of significance would you use, and why?

Solution

I would like to find the correlation between a continuous (dependent variable) and a categorical (nominal: gender, independent variable) variable. Continuous data is not normally distributed. Before, I had computed it using the Spearman\'s . However, I have been told that it is not right.

While searching on the internet, I found that the boxplot can provide an idea about how much they are associated; however, I was looking for a quantified value such as Pearson\'s product moment coefficient or Spearman\'s . Can you please help me on how to do this? Or, inform on which method would be appropriate?