I have some data that I am not quite sure how to analyze.
We had 20 specimens that were cut in 4 parts, one part left untreated and the other 3 received different treatments. We fatigued the samples recording the lifetimes. My ultimate objective is to figure out if any of these treatments are better than no treatment at all or better than the other treatments. Does not sound much complicated but the data is very skewed so my questions are:
Should I ran ANOVA over the (treated-control) differences? ignoring the skewness of the data
Should I take a log transformation and then calculate the differences? (the end result would be more of a comparison of ratios which sounds a bit weird to me)
Is some sort of survival probability analysis a better option to do these comparisons and if so, how do I account for the "pairing" of the data.
I really appreciate any comments, ideas, advice, I have been imagining so many ways to analyze the data that now I dont know what would give me the fairest assessment.