Give the following table
Male | Female | Total Likes 10 | 3 | 13 Indifferent 20 | 20 | 40 Dislikes 10 | 9 | 19 Total 40 32 72
Here the independent variable is gender which is nominal. The dependent variable which is ordinal is either likers, indifferent, or dislikes. I can use the Chi Square test or Exact Fisher to determine if a H0 such as men and women are equally likely to be likers should be rejected.
However, the question I would like to answer after this is: which gender is significantly more likely than the other to be a liker? And, by how much?
For example: Men are x% significantly more likely than Women to be likers.
I thought that the next step would be to perform a test between liker and each group: i.e. males and likers. But I got stumped because I thought I should be comparing males to females with respect to likers.
Is there any standard way of approaching this question?