Difference-in-differences identification and estimation

Specify comparison assumptions and estimands

With staggered adoption and heterogeneous effects, a conventional two-way fixed-effects coefficient can combine unsuitable comparisons. Define group-time effects, eligible controls and aggregation, with assignment-level inference.

Flow diagram

Difference-in-differences identification and estimationF1.S1Define treatment-effect estimandsF1.S2State identification assumptionsF1.S3Choose timing-compatible estimatorF1.S4Specify adjustment and uncertaintyF1.S5Plan aggregation and interpretationF1.N1Comparative change estimandsEstimandAdoptiondesignControlsEstimatorAggregationUncertaintyGroup-timeeffectEvent-timeeffectOveralleffectF1.N2Illustrative model specificationThe four means describe treated (T) andcomparison (C) groups before and afterintervention. The contrast subtracts thecomparison group’s change from the treatedgroup’s change.F1.N3Method and protocol evidenceF1.N4Model assumptionsF1.S0 Start flowDifference-in-differencesidentification and estimationF1.S999 End flowEnd flow

Steps

Define treatment-effect estimands

Specify group-time, event-time or aggregate effects and target weighting.

State identification assumptions

Document parallel untreated trends, no anticipation and interference assumptions.

Choose timing-compatible estimator

Use methods suitable for staggered adoption and heterogeneous effects when applicable.

Specify adjustment and uncertainty

Specify covariates measured before treatment, any sampling weights and clustering at the assignment level. With few policy units, choose inference that addresses the small number of clusters.

Plan aggregation and interpretation

Prespecify comparison groups, event-time support and reported contrasts.

Difference-in-differences identification and estimation

End flow

Tables and supporting information

Comparative change estimands

Comparative change estimandsEstimandAdoptiondesignControlsEstimatorAggregationUncertaintyGroup-timeeffectEvent-timeeffectOveralleffect

The simple two-group two-period contrast is illustrative, not a universal estimator.

Illustrative model specification

The four means describe treated (T) and comparison (C) groups before and after intervention. The contrast subtracts the comparison group’s change from the treated group’s change.

Method and protocol evidence

Attach the protocol, methodological sources and versioned software specification supporting these decisions. Record citations and provenance; do not enter participant identifiers.

Model assumptions

Two-way fixed effects can mix inappropriate comparisons under staggered adoption and heterogeneous effects. Causal interpretation needs parallel untreated trends and other design assumptions. This expression is not a universal staggered-adoption estimator; specify group-time effects, valid controls and aggregation when adoption varies.

Sources