Ok I’m comparing the difference between a couple pediatric risk of mortality scores. I want to take the difference and see if telemedicine or telephone consults made a difference in risk of mortality.

2 of the 4 scores are so skewed we wanted to log transform them. So I log transformed them, then standardized them, then took the difference, then ran a regression. How do I know whether this is adequate? Or whether that’s too many transformations and I’m making my data uninterpretable?

Should I just standardize the data and then get the difference and run a wilcoxon? It’s the the down side of wilcoxon that it’s no good for skewed data?