Doing a 4-way mixed ANOVA with 40 combinations of variables and trying to test normality. Normality is violated for 26/40 combinations, and log transforming doesn’t seem to work. What do I do?

Hello all, hoping someone can help me out here. I’ve got 3 within-group factors and 1 between-group factor. It is a 2x3x4x5 ANOVA, so excluding the between group factor, I’ve got 40 separate combinations of within-group variables. I performed Levene’s test for normality and it showed that normality was violated for 26/40 variables. I attempted to log transform a couple of them, but the log transformation just made them worse with regard to normality. ​ The thing is that the dependent variable is accuracy, and has a maximum score of 12. So as some variables are far easier than others, some variables will have most people scoring an 11 or 12. I’m very rusty with stats and this is my MSc, and I have no idea what to do. In what case can I just proceed with the ANOVA? Do I have to do a nonparametric test? ​ Thanks heaps. submitted by /u/gumbaline [link] [comments]

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