Synthetic Control Method
Weights several unexposed areas or organizations to create a comparator resembling the treated unit's past trends. Pre-fit and donor suitability matter. [1]
- Difficulty
- Advanced
- Cost
- Medium
- Duration
- Illustrative planning durations, not common standards: collection 1–4 weeks, analysis/checks 2–4 weeks
How it works at a glance
The basic form uses non-negative donor weights summing to 1 to match pre-outcomes/predictors, then estimates post-differences. [1]
Do not choose weights from post-results. Check spillovers, poor pre-fit and donor dependence, using placebos to examine counterfactual uncertainty. [1]
- Define treated units and donor pool
- Select outcomes and covariates
- Construct synthetic controls
- Check pre-fit
- Estimate and plot effects
- Placebo-based inference
When to use it and when it is unsuitable
When to use it
- Evaluate policies affecting one/few areas, countries or firms, such as city industrial policy or national regulation
- Multiple similar untreated units and long pre-panels available
- No single parallel-trend DiD comparator but combinations improve pre-fit
- Present academically/politically persuasive causal policy evidence
When it is unsuitable
- Insufficient series for pre-comparison or fit assessment
- Insufficient comparable unaffected donors for synthesis/placebos
- Donor spillovers undermine counterfactual interpretation
Participants, roles, and deliverables
Participants and roles
1–2 econometric/statistical specialists with skills such as R Synth
Main deliverables
- Path plot: treated actual versus synthetic series
- Donor weight list
- Estimated post-gaps/effect magnitude
- Placebo plots and MSPE ratios
Implementation steps
- Define treated units and donor poolIdentify one/few treated units and comparable untreated donors. Restrict donors to similar unaffected units.
- Select outcomes and covariatesChoose outcomes and predictors, including covariates and multiple pre-outcomes, for weighting. Fix choices beforehand on theoretical grounds.
- Construct synthetic controlsFind non-negative weights summing to 1 reproducing pre-outcomes/predictors. Distinguish predictor and donor weights and report criteria and pre-prediction errors.
- Check pre-fitShow observed/synthetic trends, residuals and MSPE. Report counterfactual limits if fit is poor; do not adjust to post-results.
- Estimate and plot effectsCalculate period-specific observed/synthetic gaps. Examine causal interpretation conditions, pre-fit, concurrent shocks and spillovers.
- Placebo-based inferenceTreat donors as hypothetical interventions and examine gaps or post/pre MSPE ratios. Explain pre-fit differences, comparison counts and assignment interpretation rather than relying on formal p-values alone.
Strengths and limitations
Strengths
- Builds candidate counterfactuals from multiple comparators for few treated units
- Published weights/rationale make comparator composition inspectable
- Quantifies pre-fit, but good fit does not prove post-counterfactual validity
- Placebos enable inference where conventional test statistics are unavailable
Limitations
- Poor pre-fit undermines counterfactual credibility and gap interpretation
- Small donor pools weaken placebo-test power and make statistical inference unstable.
- Multiple units or staggered designs require different estimands/methods from this basic form
- Limited methods for donor spillovers
Common pitfalls
- Affected donors compromise counterfactuals. State selection grounds and exclude potentially exposed units.
- Always optimize on pre-data only; using post-variables makes estimation circular.
- Large gaps alone are not strong evidence. Consider placebo fit differences and donor counts; they do not remove confounding.
- Large MSPE suggests poor counterfactual representation; review variables/donors before reporting effects.
Conditions of use and evidence
- Uncertainty about whether combinations reproduce counterfactuals is not automatically resolved by aggregate data. [1]
Evaluate a consultation scheme introduced in one city
A fictional calculation combining Cities B and C at 0.5 each. The short table illustrates weighting, not sufficient duration for valid research.
Scroll horizontally to view the table
| Timepoint | City A | City B | City C | Synthetic |
|---|---|---|---|---|
| Pre 1 | 10 | 8 | 12 | 10 |
| Pre 2 | 12 | 10 | 14 | 12 |
| Pre 3 | 15 | 12 | 16 | 14 |
| Post 1 | 20 | 14 | 18 | 16 |
Common errors in judgment
Optimize weights using post-results
How to revise
Set weights from pre-data
ReasonDo not use the target post-gap to select comparators.
Call a large post-gap an effect despite poor pre-fit
How to revise
State poor fit and reconsider design
ReasonThe counterfactual may already be poorly approximated before intervention.
References and checked sections
- Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California’s Tobacco Control ProgramAlberto Abadie, Alexis Diamond, and Jens Hainmueller · 2010
- Section consulted
- 1. Introduction / Synthetic control methods
- How it relates to the text
- Uncertainty about whether combinations reproduce counterfactuals is not automatically resolved by aggregate data.
Editorial and checking information
How to cite this page
Change history
- — Checked sources for definitions and conditions and added fictional examples, judgment rationales and completed entries for every field. Revised unsupported historical or uptake claims. Reviewed procedures and cautions, adjusting fixed counts, thresholds and institutional generalizations. Preserved field positions, types and counts while revising fixed conditions and thresholds.


