I have data which is not normally distributed. Each participant ranked six actions in order of preference (so this is ordinal data right?) I want to see whether there is a significant difference in their preferences depending on the group they are in. As there are more than three groups, I believe that I could conduct a Kendall Wallis (as this is a non-parametric test) however I also think that a Kendall tau may be appropriate (but as my data is groupings -categorical against rankings-ordinal, I'm not sure correlation is the right thing to do).
Any help would be much appreciated, and if you need anything explained further, I am happy to do so.
I'm still not entirely sure if I am clear with any to analyse this so any help would be much appreciated.