Which statistical test is suitable to assess the association, if i have one continuous variable and one nominal variable?

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Pierre Lafaye de Micheaux

Look at the correlation ratio statistic:

https://en.wikipedia.org/wiki/Correlation_ratio

See also that page for the distribution under the null:

https://books.google.com.au/books?id=jQv1DQAAQBAJ&pg=PA334&lpg=PA334&dq=%22correlation+ratio%22+test&source=bl&ots=uHTikzGwg-&sig=4j5VuOsSrRhUGL-97W7jauFqMTk&hl=fr&sa=X&ved=0ahUKEwiQkqDg7d_WAhXLurwKHQxIDsgQ6AEIfTAJ#v=onepage&q=%22correlation%20ratio%22%20test&f=false

Jos Feys

This question has already been dealt with:

https://www.researchgate.net/post/How_can_I_conduct_a_correlation_test_between_a_nominal_variable_and_a_scale_or_continuous_variable

I would use the R square (or the square root of it) from a regression:

continuous (dependent variable) = nominal (independent variable)

to 'measure' the association between both.