I have two nominal variables and some numeric variables.
- The first nominal variable is a binary one. I want to measure the correlation between this binary variable and the other numeric variables.
- The second nominal variable has 37 categories. Again, I should measure the correlation between this nominal variable and the other numeric variables.
Based on this, I am not allowed to use
one-way Anova because my data is not normally distributed. According to the answer to this post,
Eta is associated with
one-way Anova, so due to the non-normality of my data, it is not possible to use
Eta. Therefore, I decided to use
Kruskal-Wallis for my second nominal variable with 37 categories based on this post.Should I use
Mann–Whitney U-test for my first binary nominal variable? Is it true to do so?
It should be noted that my data set includes 2200 observations. Besides, I want to do it as a Exploratory Data Analysis step.