Synthetic Control builds a counterfactual for a treated unit by weighting control units to match pre-treatment behavior, then compares post-treatment trajectories.
When to Use
- One (or a few) treated unit(s), many potential controls
- Clear intervention date and sufficient pre-period history
- Controls remain untreated during the study window
Workflow
- Select donor pool and predictors
- Optimize weights to match pre-period outcome/predictors
- Validate fit and run placebo tests (in-space/in-time)
- Estimate post-period gap and cumulative effect
Diagnostics
- Pre-period RMSPE and visual fit
- Placebo distribution of gaps for inference
- Sensitivity to donor pool composition
Interpretation
Focus on the size and persistence of post-treatment gaps relative to pre-period fit. Discuss placebo results and robustness to alternative donor pools.