Consider we have a one-way ANOVA, with 3 groups and 5 different participants each, and each solve 5 problems. If we measure the performance of solving each problem for each participant, would it be possible to do the following steps for normalizing the data?
1- Transforming the raw data values before computing the performances by method A
2- Obtaining the performance value from the transformed values of raw data
3- Transforming the obtained performance value by method B
(method A and B can be any methods in among of the transformation methods)
If it works for the test result, would the above steps be valid from the theory view? I mean this type of transforming both data and result.