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This question already has an answer here:

How can I find the correlation between a categorical (dependent) variable and a continuous-scale (independent) variable? Is a Kruskal Wallis test appropriate? I'm a little confused as my independent variable is not nominal but scale!

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marked as duplicate by kjetil b halvorsen, Peter Flom Mar 11 at 11:36

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

  • $\begingroup$ Is the categorical variable ordered or not? $\endgroup$ – highBandWidth Nov 18 '17 at 13:37
  • $\begingroup$ No it is not ordered $\endgroup$ – Ach Nov 18 '17 at 14:00
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    $\begingroup$ Did you just make a try to search an answer on the site? $\endgroup$ – ttnphns Nov 19 '17 at 1:03
  • $\begingroup$ Yes I have tried to search the answer. A possible solution to this problem is to convert my scale independent variable into a categorical one and conduct a chi square test between my 2 nominal variables. $\endgroup$ – Ach Nov 19 '17 at 7:40
  • $\begingroup$ stats.stackexchange.com/q/308897/3277, stats.stackexchange.com/q/73065/3277 $\endgroup$ – ttnphns Nov 20 '17 at 6:07
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Correlation notions do not care about the direction of causality (if there is any). So it shouldn't matter which one is dependent and which independent. If assumptions of normality are not a problem, then one way ANOVA should be ok. If you want it to be non-parametric, then Kruska-Wallis should be appropriate.

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