Essentially I have an RCT with 1 intervention arm and 1 control arm. Within each arm I have 2 sub-groups I want to compare the average treatment effect (drug users and non-drug users) for a binary outcome. I then want to compare the difference between users and non-users in the intervention vs. the difference between these groups in the control.
What is the appropriate method for this comparison of deltas between study arms? While it seems like difference-in-differences, it's not an observational study.