I have two groups of different characteristics (e.g. Males and Females, both suffering from a particular illness). Both groups are exposed to same treatment. I want to test :
1. If there is any difference in the recovery rate of each group before and after the treatment.
2. If the improvement in one group (say Males) better or worse than the improvement in other group (Females).
Please suggest what are the different statistical tools fit for this type of study?