I've ran an experiment in which different situations were presented to subjects in a random order, on which I measured a result out of $y \in {-1,0,1}$.
I'd like to show that $y$ is order-independent, meaning that the answer ratio was the same either if it was on the 1st trial or the last one.
My data is clearly shows it here:
What would be the right statistical test to prove this claim?
ANOVA feels almost there, since the groups (the number of trials) are linked.
Moreover, if the imageorder was an arbitrary (and not ordered), ANOVA would still unfit since the in-group distribution doesn't fit anova's assumptions, and therefore we need a non-parametric test.
Any suggestions?