References

References#

[Abadie2021]

Abadie, Alberto. “Using Synthetic Controls: Feasibility, Data Requirements, and Methodological Aspects.” Journal of Economic Literature, vol. 59, no. 2, 2021, pp. 391–425. https://doi.org/10.1257/jel.20191450.

[ADID]

Li, Kathleen T., and Christophe Van den Bulte. “Augmented Difference-in-Differences.” Marketing Science, vol. 42, no. 4, 2023, pp. 746–767. https://doi.org/10.1287/mksc.2022.1406.

[LASSOPDA]

Li, Kathleen T., and David R. Bell. “Estimation of Average Treatment Effects with Panel Data: Asymptotic Theory and Implementation.” J. Econom., vol. 197, no. 1, March 2017, pp. 65–75. https://doi.org/10.1016/j.jeconom.2016.01.011.

[HCW2012]

Hsiao, Cheng, H. Steve Ching, and Shui Ki Wan. “A Panel Data Approach for Program Evaluation: Measuring the Benefits of Political and Economic Integration of Hong Kong with Mainland China.” Journal of Applied Econometrics, vol. 27, no. 5, 2012, pp. 705–740. https://doi.org/10.1002/jae.1230.

[Amjad2018]

Amjad, Muhammad, Devavrat Shah, and Dennis Shen. “Robust Synthetic Control.” Journal of Machine Learning Research, vol. 19, no. 1, 2018, pp. 802–852.

[Agarwal2021]

Agarwal, Anish, Devavrat Shah, Dennis Shen, and Dogyoon Song. “On Robustness of Principal Component Regression.” Journal of the American Statistical Association, vol. 116, no. 536, 2021, pp. 1731–1745. doi:10.1080/01621459.2021.1928513.

[ClusterSC]

Rho, Saeyoung, Tang, Andrew, Bergam, Noah, Cummings, Rachel, and Misra, Vishal. “ClusterSC: Advancing Synthetic Control with Donor Selection.” Proceedings of the 28th International Conference on Artificial Intelligence and Statistics (AISTATS), PMLR 258, 2025. arXiv:2503.21629.

[BaiNg2002]

Bai, Jushan and Serena Ng (2002), “Determining the Number of Factors in Approximate Factor Models,” Econometrica, 70 (1), 191–222.

[Bayani2021]

Bayani, Mani. “Robust PCA Synthetic Control.” Working paper, arXiv, 2021. doi:10.48550/ARXIV.2108.12542.

[chaisesurvey]

de Chaisemartin, Clément and D’Haultfoeuille, Xavier. “Two-way fixed effects and differences-in-differences with heterogeneous treatment effects: a survey.” The Econometrics Journal, 26(3): C1-C30, 2022. DOI: https://doi.org/10.1093/ectj/utac017

[Costa2023]

Luis Costa, Vivek F. Farias, Patricio Foncea, Jingyuan (Donna) Gan, Ayush Garg, Ivo Rosa Montenegro, Kumarjit Pathak, Tianyi Peng, Dusan Popovic. “Generalized Synthetic Control for TestOps at ABI: Models, Algorithms, and Infrastructure.” INFORMS Journal on Applied Analytics, vol. 53, no. 5, 2023, pp. 336–349.

[Chatterjee2015]

Sourav Chatterjee. “Matrix estimation by Universal Singular Value Thresholding.” The Annals of Statistics, Ann. Statist. 43(1), 177-214, (February 2015).

[Donoho2023]

David Donoho, Matan Gavish, Elad Romanov. “ScreeNOT: Exact MSE-optimal singular value thresholding in correlated noise.” The Annals of Statistics, Ann. Statist. 51(1), 122-148, (February 2023).

[HCW]

Hsiao, Cheng, H. Steve Ching, and Shui Ki Wan. “A Panel Data Approach for Program Evaluation: Measuring the Benefits of Political and Economic Integration of Hong Kong with Mainland China.” Journal of Applied Econometrics 27, no. 5 (2012): 705-40. DOI: 10.1002/jae.1230.

[fohlin2021]

Caroline Fohlin and Zhikun Lu. “How Contagious Was the Panic of 1907? New Evidence from Trust Company Stocks.” AEA Papers and Proceedings, vol. 111, pp. 514-519, 2021. DOI: https://doi.org/10.1257/pandp.20211097

[Li2024]

Li, Kathleen T. “Frontiers: A Simple Forward Difference-in-Differences Method.” Marketing Science, vol. 43, no. 2, 2024, pp. 239–468. doi:10.1287/mksc.2022.0212.

[LiuTchetgenVar]

Jizhou Liu, Eric J. Tchetgen Tchetgen, and Carlos Varjão. “Proximal Causal Inference for Synthetic Control with Surrogates.” arXiv Working Paper, 2308.09527, 2023. URL: https://arxiv.org/abs/2308.09527

[ROTH20232218]

Roth, Jonathan, Sant’Anna, Pedro H.C., Bilinski, Alyssa, and Poe, John. “What’s trending in difference-in-differences? A synthesis of the recent econometrics literature.” Journal of Econometrics, 235(2): 2218-2244, 2023. DOI: https://doi.org/10.1016/j.jeconom.2023.03.008

[l2relax]

Zhentao Shi and Yishu Wang. “L2-relaxation for Economic Prediction.” November 2024. doi:10.13140/RG.2.2.11670.97609.

[pdapi]

Hongyi Jiang, Xingyu Li, Yan Shen, and Qiankun Zhou. “Prediction Intervals of Panel Data Approach for Programme Evaluation.” Journal of Applied Econometrics, 40(5): 655-668, 2025. doi:10.1002/jae.3134.

[FurnivalWilson]

George M. Furnival and Robert W. Wilson. “Regressions by Leaps and Bounds.” Technometrics, 16(4): 499-511, 1974. doi:10.1080/00401706.1974.10489231.

[BKM2016]

Dimitris Bertsimas, Angela King, and Rahul Mazumder. “Best Subset Selection via a Modern Optimization Lens.” The Annals of Statistics, 44(2): 813-852, 2016. doi:10.1214/15-AOS1388.

[HTT2020]

Trevor Hastie, Robert Tibshirani, and Ryan Tibshirani. “Best Subset, Forward Stepwise or Lasso? Analysis and Recommendations Based on Extensive Comparisons.” Statistical Science, 35(4): 579-592, 2020. doi:10.1214/19-STS733.

[fsPDA]

Shi, Zhentao and Huang, Jingyi. “Forward-selected panel data approach for program evaluation.” Journal of Econometrics, 234(2): 512-535, 2023. DOI: https://doi.org/10.1016/j.jeconom.2021.04.009

[sdid]

Clarke, Damian, Pailañir, Daniel, Athey, Susan, and Imbens, Guido. “On Synthetic Difference-in-Differences and Related Estimation Methods in Stata.” Working Paper. Available at: https://doi.org/10.48550/arXiv.2301.11859

[stackdid]

Wing, Coady, Freedman, Seth M., and Hollingsworth, Alex. “Stacked Difference-in-Differences.” National Bureau of Economic Research, Working Paper Series, 32054, January 2024. DOI: https://doi.org/10.3386/w32054

[aersdid]

Arkhangelsky, Dmitry, Athey, Susan, Hirshberg, David A., Imbens, Guido W., and Wager, Stefan. “Synthetic Difference-in-Differences.” American Economic Review, 111(12): 4088–4118, 2021. URL: https://doi.org/10.1257/aer.20190159

[scmdisagg]

Abadie, Alberto and L’Hour, Jérémy. “A Penalized Synthetic Control Estimator for Disaggregated Data.” Journal of the American Statistical Association, 116(536): 1817–1834, 2021. DOI: https://doi.org/10.1080/01621459.2021.1971535

[TSSC]

Li, Kathleen T. and Shankar, Venkatesh. “A Two-Step Synthetic Control Approach for Estimating Causal Effects of Marketing Events.” Management Science, 70(6): 3734-3747, 2024. DOI: https://doi.org/10.1287/mnsc.2023.4878

[FMA]

Li, Kathleen T. and Sonnier, Garrett P. “Statistical Inference for the Factor Model Approach to Estimate Causal Effects in Quasi-Experimental Settings.” Journal of Marketing Research, 60(3): 449-472, 2023. DOI: https://doi.org/10.1177/00222437221137533

[BECKER20181]

Becker, Martin and Klößner, Stefan. “Fast and reliable computation of generalized synthetic controls.” Econometrics and Statistics, 5: 1-19, 2018. DOI: https://doi.org/10.1016/j.ecosta.2017.08.002

[albalate2021decoupling]

Albalate, Daniel, Bel, Germà, and Mazaira-Font, Ferran A. “Decoupling synthetic control methods to ensure stability, accuracy and meaningfulness.” SERIEs, 12(4): 549-584, 2021. Publisher: Springer

[li2023statistical]

Li, Kathleen T. and Sonnier, Garrett P. “Statistical inference for the factor model approach to estimate causal effects in quasi-experimental settings.” Journal of Marketing Research, 60(3): 449–472, 2023. Publisher: SAGE Publications

[microsynth]

Robbins, Michael W., Saunders, Jessica, and Kilmer, Beau. “A Framework for Synthetic Control Methods With High-Dimensional, Micro-Level Data: Evaluating a Neighborhood-Specific Crime Intervention.” Journal of the American Statistical Association, 112(517): 109-126, 2017. DOI: https://doi.org/10.1080/01621459.2016.1213634

[Abadie2015]

Abadie, Alberto, Diamond, Alexis, and Hainmueller, Jens. “Comparative Politics and the Synthetic Control Method.” American Journal of Political Science, 59(2): 495-510, 2015. DOI: https://doi.org/10.1111/ajps.12116

[malo2023computing]

Malo, Pekka, Eskelinen, Juha, Zhou, Xun, and Kuosmanen, Timo. “Computing synthetic controls using bilevel optimization.” Computational Economics, 2023. DOI: https://doi.org/10.1007/s10614-023-10471-7

[jaumesparsesc]

Vives-i-Bastida, Jaume. “Predictor Selection for Synthetic Controls.” Working Paper, 2022. URL: https://arxiv.org/abs/2203.11576

[causeimben]

Imbens, Guido W. “Causal Inference in the Social Sciences.” Annual Review of Statistics and Its Application, 11: 123-152, 2024. DOI: https://doi.org/10.1146/annurev-statistics-033121-114601

[DAGUE2018]

Dague, Laura and Lahey, Joanna N. “Causal Inference Methods: Lessons from Applied Microeconomics.” Journal of Public Administration Research and Theory, 29(3): 511-529, 2018. DOI: https://doi.org/10.1093/jopart/muy067

[ProxSCM]

Shi, Xu, Kendrick Li, Wang Miao, Mengtong Hu, and Eric Tchetgen Tchetgen. “Theory for Identification and Inference with Synthetic Controls: A Proximal Causal Inference Framework.” 2023. https://doi.org/10.48550/arXiv.2108.13935

[ShiNegControl]

Shi, Xu, Wang Miao, Jennifer C. Nelson, and Eric J. Tchetgen Tchetgen. “Multiply Robust Causal Inference with Double-Negative Control Adjustment for Categorical Unmeasured Confounding.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 82, no. 2 (2020): 521-540. DOI: https://doi.org/10.1111/rssb.12361

[SPSC]

Park, Chan, and Eric J. Tchetgen Tchetgen. “Single Proxy Synthetic Control.” Journal of Causal Inference 13, no. 1 (2025): 20230079. DOI: https://doi.org/10.1515/jci-2023-0079

[DRProx]

Qiu, Hongxiang, Xu Shi, Wang Miao, Edgar Dobriban, and Eric Tchetgen Tchetgen. “Doubly Robust Proximal Synthetic Controls.” Biometrics 80, no. 2 (2024): ujae055. DOI: https://doi.org/10.1093/biomtc/ujae055

[ABADIE2003]

Abadie, Alberto and Gardeazabal, Javier. “The Economic Costs of Conflict: A Case Study of the Basque Country.” American Economic Review, 93(1): 113-132, 2003. DOI: https://doi.org/10.1257/000282803321455188

[KINN2018]

Kinn, Daniel. “Synthetic Control Methods and Big Data.” arXiv Working Paper, 1803.00096, 2018. DOI: https://doi.org/10.48550/arXiv.1803.00096

[WILTSHIRE2021]

Wiltshire, Justin C. “allsynth: Synthetic Control Bias-Correction Utilities for Stata.” Working Paper, 2021.

[GREATHOUSE2022]

Greathouse, Jared. “Scul: Regularized Synthetic Controls in Stata.” Georgia State University, 08, 2022. DOI: https://doi.org/10.2139/ssrn.4196189

[ABADIE2024]

Abadie, Alberto and Zhao, Jinglong. “Synthetic Controls for Experimental Design.” arXiv Working Paper, 2108.02196, 2024. DOI: https://arxiv.org/abs/2108.02196

[FERMAN2020]

Ferman, Bruno, Pinto, Cristine, and Possebom, Vitor. “Cherry Picking with Synthetic Controls.” Journal of Policy Analysis and Management, 39(2): 510-532, 2020. DOI: https://doi.org/10.1002/pam.22206

[VIVIANO2023]

Viviano, Davide and Bradic, Jelena. “Synthetic Learner: Model-free inference on treatments over time.” Journal of Econometrics, 234(2): 691-713, 2023. DOI: https://doi.org/10.1016/j.jeconom.

[RCM2022]

Yan, Guanpeng and Chen, Qiang. “rcm: A command for the regression control method.” The Stata Journal, 22(4): 842-883, 2022. URL: https://doi.org/10.1177/1536867X221140960

[ABADIE2010]

Abadie, Alberto, Diamond, Alexis, and Hainmueller, Jens. “Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California’s Tobacco Control Program.” Journal of the American Statistical Association, 105(490): 493-505, 2010. URL: https://doi.org/10.1198/jasa.2009.ap08746

[FSCM]

Cerulli, Giovanni. “Optimal initial donor selection for the synthetic control method.” Economics Letters, 244: 111976, 2024. DOI: https://doi.org/10.1016/j.econlet.2024.111976

[FECT2024]

Liu, Licheng, Wang, Ye, and Xu, Yiqing. “A Practical Guide to Counterfactual Estimators for Causal Inference with Time-Series Cross-Sectional Data.” American Journal of Political Science, 68(1): 160-176, 2024. URL: https://doi.org/10.1111/ajps.12723

[SYNTH22023]

Yan, Guanpeng and Chen, Qiang. “synth2: Synthetic control method with placebo tests, robustness test, and visualization.” The Stata Journal, 23(3): 597-624, 2023. URL: https://doi.org/10.1177/1536867X231195278

[Xu2017]

Xu, Yiqing. “Generalized Synthetic Control Method: Causal Inference with Interactive Fixed Effects Models.” Political Analysis 25, no. 1 (2017): 57–76. https://doi.org/10.1017/pan.2016.2.

[MCNNM]

Athey, Susan, Bayati, Mohsen, Doudchenko, Nikolay, Imbens, Guido, and Khosravi, Khashayar. “Matrix Completion Methods for Causal Panel Data Models.” Journal of the American Statistical Association, 116(536): 1716-1730, 2021. DOI: https://doi.org/10.1080/01621459.2021.1891924

[Mazumder2010]

Mazumder, Rahul, Hastie, Trevor, and Tibshirani, Robert. “Spectral Regularization Algorithms for Learning Large Incomplete Matrices.” Journal of Machine Learning Research, 11: 2287-2322, 2010.

[MSQRT]

Shen, Zikai, Song, Xinkun, and Abadie, Alberto. “Efficiently Learning Synthetic Control Models for High-dimensional Disaggregated Data.” arXiv Working Paper, 2510.22828, 2025. URL: https://arxiv.org/abs/2510.22828

[SCPI]

Cattaneo, Matias D., Feng, Yingjie, Palomba, Filippo, and Titiunik, Rocío. “Uncertainty Quantification in Synthetic Controls with Staggered Treatment Adoption.” Review of Economics and Statistics (forthcoming); arXiv Working Paper, 2210.05026, 2025. URL: https://arxiv.org/abs/2210.05026

[SSC]

Cao, Jianfei, Lu, Shirley, and Wu, Hang. “Synthetic Control Inference for Staggered Adoption.” The Econometrics Journal (forthcoming), 2026. URL: https://doi.org/10.1093/ectj/utag015

[RMSI]

Agarwal, Anish, Choi, Jungjun, and Yuan, Ming. “Robust Matrix Estimation with Side Information.” arXiv Working Paper, 2603.24833, 2026. URL: https://arxiv.org/abs/2603.24833

[SPOTSYNTH]

O’Riordan, Michael, and Gilligan-Lee, Ciarán M. “Spillover Detection for Donor Selection in Synthetic Control Models.” Journal of Causal Inference 13(1):20240036, 2025. URL: https://doi.org/10.1515/jci-2024-0036

[SYNDES]

Doudchenko, Nick, Khosravi, Khashayar, Pouget-Abadie, Jean, Lahaie, Sebastien, Lubin, Miles, Mirrokni, Vahab, Spiess, Jann, and Imbens, Guido. “Synthetic Design: An Optimization Approach to Experimental Design with Synthetic Controls.” Advances in Neural Information Processing Systems (NeurIPS), 2021. arXiv:2112.00278. URL: https://arxiv.org/abs/2112.00278

[SPCD]

Lu, Yiping, Li, Jiajin, Ying, Lexing, and Blanchet, Jose. “Synthetic Principal Component Design: Fast Covariate Balancing with Synthetic Controls.” arXiv Working Paper, 2211.15241, 2022. URL: https://arxiv.org/abs/2211.15241

[HSC]

Liu, Ziyi, and Xu, Yiqing. “The Harmonic Synthetic Control Method.” Working Paper, 2026.

[PPSCM]

Ben-Michael, Eli, Feller, Avi, and Rothstein, Jesse. “Synthetic Controls with Staggered Adoption.” Journal of the Royal Statistical Society: Series B, 84(2): 351-381, 2022. DOI: https://doi.org/10.1111/rssb.12448

[SIV]

Gulek, Atilla, and Vives-i-Bastida, Jaume. “Synthetic IV Estimation in Panels.” Working Paper, 2024.

[TASC]

Rho, Saeyoung, Illick, Cyrus, Narasipura, Samhitha, Abadie, Alberto, Hsu, Daniel, and Misra, Vishal. “Time-Aware Synthetic Control.” arXiv Preprint, 2601.03099, 2026. URL: https://arxiv.org/abs/2601.03099

[ADH]

Autor, David H., Dorn, David, and Hanson, Gordon H. “The China Syndrome: Local Labor Market Effects of Import Competition in the United States.” American Economic Review, 103(6): 2121-2168, 2013. DOI: https://doi.org/10.1257/aer.103.6.2121

[LinfSC]

Wang, Le, Xin Xing, and Youhui Ye. “A L-infinity Norm Counterfactual and Synthetic Control Approach.” Working Paper, Virginia Tech, 2025. arXiv: https://arxiv.org/abs/2510.26053. Reference implementation (Python): BioAlgs/LinfinitySC

[RelaxSC]

Liao, Chengwang, Zhentao Shi, and Yapeng Zheng. “A Relaxation Approach to Synthetic Control.” Working Paper, The Chinese University of Hong Kong, 2026. arXiv: https://arxiv.org/abs/2508.01793. Reference implementation (Python package scmrelax): metricshilab/scmrelax (installable from PanJi-0/scmrelax); the Brexit / UK real-GDP empirical application: YapengZheng/Relaxed_SC

[SCInfoCrit]

Pouliot, Guillaume Allaire, Zhen Xie, and Ziyi Liu. “Degrees of Freedom and Information Criteria for the Synthetic Control Method.” Working Paper, 2022 (revised 2026). arXiv: https://arxiv.org/abs/2207.02943.

[BVSS]

Xu, Yihong and Zhou, Quan. “Bayesian Synthetic Control with a Soft Simplex Constraint.” arXiv Working Paper, 2503.06454, 2025. URL: https://arxiv.org/abs/2503.06454

[LiSCM2020]

Li, Kathleen T. “Statistical Inference for Average Treatment Effects Estimated by Synthetic Control Methods.” Journal of the American Statistical Association, 115(532): 2068-2083, 2020.

[DoudchenkoImbens2017]

Doudchenko, Nikolay and Imbens, Guido W. “Balancing, Regression, Difference-In-Differences and Synthetic Control Methods: A Synthesis.” arXiv Working Paper, 1610.07748, 2017. URL: https://arxiv.org/abs/1610.07748

[TianLeePanchenko]

Tian, Wei, Lee, Seojeong, and Panchenko, Valentyn. “Synthetic Controls with Multiple Outcomes.” The Econometrics Journal, utag005, 2026. DOI: https://doi.org/10.1093/ectj/utag005

[SunBenMichaelFeller]

Sun, Liyang, Ben-Michael, Eli, and Feller, Avi. “Using Multiple Outcomes to Improve the Synthetic Control Method.” The Review of Economics and Statistics, 2025. DOI: https://doi.org/10.1162/rest_a_01592

[SI]

Agarwal, Anish, Shah, Devavrat, and Shen, Dennis. “Synthetic Interventions: Extending Synthetic Controls to Multiple Treatments.” Operations Research, 74(2): 840-859, 2025. DOI: https://doi.org/10.1287/opre.2025.1590

[KMPT2021]

Kellogg, Maxwell, Mogstad, Magne, Pouliot, Guillaume A., and Torgovitsky, Alexander. “Combining Matching and Synthetic Control to Trade Off Biases From Extrapolation and Interpolation.” Journal of the American Statistical Association, 116(536): 1804-1816, 2021. DOI: https://doi.org/10.1080/01621459.2021.1979562