So my data is looking at the incidence of emotions within therapy sessions. I am looking at three groups that I suspect have different pattern across several emotions
Group 1 n=36 Group 2 n=12 Group 3 n=6
The variables are measured in terms of time spent in that emotion (e.g., 10 minutes of anger, 5 minutes of sadness). I have also constructed a proportion for each emotion based on how much time spent in a given emotion divided by the total time spent experiencing any emotion (e.g., 10 minutes of anger divided by 20 minutes in emotion = 50% anger in that session).
I am aware that the group sizes are uneven, and that one group is quite small - these are exploratory analyses so I would just like to find a way to compare them statistically as a starting point.
Given that the groups are different across emotions - there is a low incidence of certain emotions in some groups, thus violating normality and homogeneity of variance.
What I want to know is whether these groups are different across each emotion type. Any ideas of what would be appropriate or other considerations before making a decision?