I am trying to analyze my non-normally distributed outcome data from a psychological behavioural experiment. I have tried some commonly used transformation functions to covert them into normally distribution, but all failed, so I hope to ask for help about the non-parametric alternatives to 3-way repeated measure ANOVA.
There were three factors (independent variables=IV) in my design, and all were categorical variables: IV A was a between-subject factor and had three levels (low, middle, high), IV B was a within-subject factor and had two levels (low, high), IV C was also a within-subject factor and had two levels(short, long). I hope to conduct a 3-way repeated measure ANOVA to investigate the main and interaction effects of the three factors on the outcomes(dependent variables). The dependent variables were continuous scale variables.
I prefer the SPSS software, MATLAB and R. Could anyone please provide any suggestions for my problems? Thank you!