Synthetic Difference in Differences
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Abstract (arXiv)
We present a new estimator for causal effects with panel data that builds on insights behind the widely used difference in differences and synthetic control methods. Relative to these methods we find, both theoretically and empirically, that this "synthetic difference in differences" estimator has desirable robustness properties, and that it performs well in settings where the conventional estimators are commonly used in practice. We study the asymptotic behavior of the estimator when the systematic part of the outcome model includes latent unit factors interacted with latent time factors, and we present conditions for consistency and asymptotic normality.
Key facts. Cited by 41 papers in the map (data through 14 Oct 2026). First posted on arXiv 24 Dec 2018.
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Citing papers per year: 2020: 1; 2021: 4; 2022: 12; 2023: 3; 2024: 3; 2025: 9; 2026: 9.
41 papers.
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- 2021Causal Matrix Completioncited by 45
- 2023Augmented balancing weights as linear regressioncited by 21
- 2022Counterfactual inference in sequential experimentscited by 13
- 2024The Impact of Large Language Models on Open-source Innovation: Evidence from GitHub Copilotcited by 13
- 2022Reinforcement Learning in the Wild: Scalable RL Dispatching Algorithm Deployed in Ridehailing Marketplacecited by 11
- 2022On counterfactual inference with unobserved confoundingcited by 10
- 2022Doubly robust nearest neighbors in factor modelscited by 9
- 2022Synthetically Controlled Banditscited by 8
- 2021Learning Treatment Effects in Panels with General Intervention Patternscited by 5
- 2022Synthetic Control As Online Linear Regressioncited by 5
- 2023Adaptive Principal Component Regression with Applications to Panel Datacited by 5
- 2022Strategyproof Decision-Making in Panel Data Settings and Beyondcited by 4
29 more
- 2024Doubly Robust Inference in Causal Latent Factor Modelscited by 4
- 2024Causal Inference with Complex Treatments: A Surveycited by 3
- 2022Forecasting Algorithms for Causal Inference with Panel Datacited by 2
- 2022Network Synthetic Interventions: A Causal Framework for Panel Data Under Network Interferencecited by 2
- 2023OpportunityFinder: A Framework for Automated Causal Inferencecited by 2
- 2025A primer on optimal transport for causal inference with observational datacited by 2
- 2025Identification of Average Treatment Effects in Nonparametric Panel Modelscited by 2
- 2025A Causal Inference Framework for Data Rich Environmentscited by 2
- 2020Causal Inference in Possibly Nonlinear Factor Modelscited by 1
- 2021Shapes as Product Differentiation: Neural Network Embedding in the Analysis of Markets for Fontscited by 1
- 2022Downstream Fairness Caveats with Synthetic Healthcare Datacited by 1
- 2022Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controlscited by 1
- 2025ClusterSC: Advancing Synthetic Control with Donor Selectioncited by 1
- 2025The (Short-Term) Effects of Large Language Models on Unemployment and Earningscited by 1
- 2021Dynamic covariate balancing: estimating treatment effects over time with potential local projectionscited by 0
- 2022Predictor Selection for Synthetic Controlscited by 0
- 2025Dynamic Synthetic Controls vs. Panel-Aware Double Machine Learning for Geo-Level Marketing Impact Estimationcited by 0
- 2025Counterfactual Forecasting for Panel Datacited by 0
- 2025Synthetic Survival Control: Extending Synthetic Controls for "When-If" Decisioncited by 0
- 2025Strategic Response of News Publishers to Generative AIcited by 0
- 2026Targeted Synthetic Control Methodcited by 0
- 2026Exchangeable Gaussian Processes for Staggered-Adoption Policy Evaluationcited by 0
- 2026Estimating Visual Attribute Effects in Advertising from Observational Data: A Deepfake-Informed Double Machine Learning Approachcited by 0
- 2026TEA-Time: Transporting Effects Across Timecited by 0
- 2026Improved Guarantees for Heterogeneous Treatment-Effect Estimation via Matrix Completioncited by 0
- 2026Balanced Twins: Causal Inference on Time Series with Hidden Confoundingcited by 0
- 2026Spectral Truncation in Synthetic Controlcited by 0
- 2026Conformalized Rate-Adaptive Sensingcited by 0
- 2026Risk-Set Transported Synthetic Control with Difference-in-Differences Adjustment under Staggered Treatment Adoptioncited by 0
- 2026Risk-Set Transported Synthetic Control with Difference-in-Differences Adjustment under Staggered Treatment Adoption29 Jul 2026
- 2026Conformalized Rate-Adaptive Sensing29 Jul 2026
- 2026Spectral Truncation in Synthetic Control27 Jul 2026
- 2026Balanced Twins: Causal Inference on Time Series with Hidden Confounding17 Jun 2026
- 2026Improved Guarantees for Heterogeneous Treatment-Effect Estimation via Matrix Completion28 May 2026
- 2026TEA-Time: Transporting Effects Across Time7 Mar 2026
- 2026Estimating Visual Attribute Effects in Advertising from Observational Data: A Deepfake-Informed Double Machine Learning Approach2 Mar 2026
- 2026Exchangeable Gaussian Processes for Staggered-Adoption Policy Evaluation24 Feb 2026
- 2026Targeted Synthetic Control Method4 Feb 2026
- 2025Strategic Response of News Publishers to Generative AI31 Dec 2025
- 2025Synthetic Survival Control: Extending Synthetic Controls for "When-If" Decision18 Nov 2025
- 2025Counterfactual Forecasting for Panel Data9 Nov 2025
29 more
- 2025The (Short-Term) Effects of Large Language Models on Unemployment and Earnings19 Sep 2025
- 2025Dynamic Synthetic Controls vs. Panel-Aware Double Machine Learning for Geo-Level Marketing Impact Estimation28 Aug 2025
- 2025A Causal Inference Framework for Data Rich Environments2 Apr 2025
- 2025ClusterSC: Advancing Synthetic Control with Donor Selection27 Mar 2025
- 2025Identification of Average Treatment Effects in Nonparametric Panel Models25 Mar 2025
- 2025A primer on optimal transport for causal inference with observational data10 Mar 2025
- 2024The Impact of Large Language Models on Open-source Innovation: Evidence from GitHub Copilot12 Sep 2024
- 2024Causal Inference with Complex Treatments: A Survey19 Jul 2024
- 2024Doubly Robust Inference in Causal Latent Factor Models18 Feb 2024
- 2023OpportunityFinder: A Framework for Automated Causal Inference22 Sep 2023
- 2023Adaptive Principal Component Regression with Applications to Panel Data3 Jul 2023
- 2023Augmented balancing weights as linear regression27 Apr 2023
- 2022Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controls28 Nov 2022
- 2022Doubly robust nearest neighbors in factor models25 Nov 2022
- 2022Strategyproof Decision-Making in Panel Data Settings and Beyond25 Nov 2022
- 2022On counterfactual inference with unobserved confounding14 Nov 2022
- 2022Network Synthetic Interventions: A Causal Framework for Panel Data Under Network Interference20 Oct 2022
- 2022Forecasting Algorithms for Causal Inference with Panel Data6 Aug 2022
- 2022Predictor Selection for Synthetic Controls22 Mar 2022
- 2022Downstream Fairness Caveats with Synthetic Healthcare Data9 Mar 2022
- 2022Synthetic Control As Online Linear Regression17 Feb 2022
- 2022Synthetically Controlled Bandits14 Feb 2022
- 2022Counterfactual inference in sequential experiments14 Feb 2022
- 2022Reinforcement Learning in the Wild: Scalable RL Dispatching Algorithm Deployed in Ridehailing Marketplace10 Feb 2022
- 2021Causal Matrix Completion30 Sep 2021
- 2021Shapes as Product Differentiation: Neural Network Embedding in the Analysis of Markets for Fonts6 Jul 2021
- 2021Learning Treatment Effects in Panels with General Intervention Patterns5 Jun 2021
- 2021Dynamic covariate balancing: estimating treatment effects over time with potential local projections1 Mar 2021
- 2020Causal Inference in Possibly Nonlinear Factor Models31 Aug 2020
- 2021Causal Matrix Completioncited by 45
- 2023Augmented balancing weights as linear regressioncited by 21
- 2022Counterfactual inference in sequential experimentscited by 13
- 2024The Impact of Large Language Models on Open-source Innovation: Evidence from GitHub Copilotcited by 13
- 2022Reinforcement Learning in the Wild: Scalable RL Dispatching Algorithm Deployed in Ridehailing Marketplacecited by 11
- 2022On counterfactual inference with unobserved confoundingcited by 10
- 2022Doubly robust nearest neighbors in factor modelscited by 9
- 2022Synthetically Controlled Banditscited by 8
- 2021Learning Treatment Effects in Panels with General Intervention Patternscited by 5
- 2022Synthetic Control As Online Linear Regressioncited by 5
- 2023Adaptive Principal Component Regression with Applications to Panel Datacited by 5
- 2022Strategyproof Decision-Making in Panel Data Settings and Beyondcited by 4
12 most cited of 41 All 41 (JSON)
- 2026Risk-Set Transported Synthetic Control with Difference-in-Differences Adjustment under Staggered Treatment Adoption29 Jul 2026
- 2026Conformalized Rate-Adaptive Sensing29 Jul 2026
- 2026Spectral Truncation in Synthetic Control27 Jul 2026
- 2026Balanced Twins: Causal Inference on Time Series with Hidden Confounding17 Jun 2026
- 2026Improved Guarantees for Heterogeneous Treatment-Effect Estimation via Matrix Completion28 May 2026
- 2026TEA-Time: Transporting Effects Across Time7 Mar 2026
- 2026Estimating Visual Attribute Effects in Advertising from Observational Data: A Deepfake-Informed Double Machine Learning Approach2 Mar 2026
- 2026Exchangeable Gaussian Processes for Staggered-Adoption Policy Evaluation24 Feb 2026
- 2026Targeted Synthetic Control Method4 Feb 2026
- 2025Strategic Response of News Publishers to Generative AI31 Dec 2025
- 2025Synthetic Survival Control: Extending Synthetic Controls for "When-If" Decision18 Nov 2025
- 2025Counterfactual Forecasting for Panel Data9 Nov 2025
12 newest of 41 All 41 (JSON)