I have between-subject design with 3 different groups where I capture interval data (on scale 1-4 where equal spacing amongst scores can be assumed). The data in groups is not normally distributed with distributions of different shape across all three groups.
This means I can not use one way ANOVA to compare means or Kruskal Wallis to compare medians as my data violates key assumptions of both tests.
Which test should I use? Or how should I proceed in analysing the data?