| est_S_Plus_Plus_MethodA | Estimate the treatment effects for population S_++ using Method A |
| est_S_Plus_Plus_MethodB | Estimate the treatment effects for population S_++ using Method B |
| est_S_Star_Plus_MethodA | Estimate the treatment effects for population S_*+ using Method A |
| est_S_Star_Plus_MethodB | Estimate the treatment effects for population S_*+ using Method B |