I am analysing a study using a 4-way mixed ANOVA. It has one between-subjects factor and 3 within-subjects factors (with 2, 2, and 3 levels). My sample size is 63 - 29 in one group and 34 in the other.
I have 9 dependent variables, all which asked participants to choose their answer on a scale of 0 to 10. I ran normality tests on my data, and since it is a 2 x 2 x 2 x 3 ANOVA, I had to run 24 tests per dependent variable. The histograms from most of the data don't look very normal, but it is a particular problem from 2 groups of data, since participants were more likely to enter '0'. This means that transforming the data has minimal effect, since the value remains the same at '0'.
Since there are no non-parametric tests for mixed ANOVAs, what can I do?
Thanks for any help you can give me, I really appreciate it. I am really stuck and have spent so much time looking at different questions but have not been able to find my answer yet.