Tactics for Design and Inference in Synthetic Control Studies: An Applied Example Using High-Dimensional Data
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Most applied synthetic control studies do not explain the identifying assumptions supporting causal inference. We describe these assumptions, illustrate how they can fail, and examine the consequences of such failures. We offer recommendations for discretionary implementation decisions, connecting each to a core identifying assumption. We also show how to implement a Synthetic Control Using Lasso, which allows a high-dimensional donor pool, automates model selection, allows donors from multiple variable types, and permits extrapolation and negative weights. In an application, we estimate how recreational marijuana legalization affects sales of alcohol and over-the-counter painkillers, finding reductions in alcohol sales.
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Synthetic control methods and similar causal inference models rely on assumptions of strict exogeneity that are violated when unincorporated time-varying factors (eg, fentanyl spread) are correlated with an exposure and an outcome of interest.
“Synthetic control methods and similar causal inference models rely on assumptions of strict exogeneity that are violated when unincorporated time-varying factors (eg, fentanyl spread) are correlated with an exposure (eg, policy adoption) and an outcome of interest (eg, overdose rates).40,41”
From Drug Decriminalization, Fentanyl, and Fatal Overdoses in Oregon (2024) · cites this paper as [40]
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Cites
The economic costs of conflict: a case study of the Basque Country
Abadie, A., & Gardeazabal, J. (2003) · American Economic Review · doi:10.1257/000282803321455188 · Cited by 4,517 · see citing works
The Effectiveness of Adjustment by Subclassification in Removing Bias in Observational Studies
Cochran, W. G. (1968) · Biometrics · doi:10.2307/2528036 · Cited by 961 · see citing works
Generalized Synthetic Control Method: Causal Inference with Interactive Fixed Effects Models
Xu, Y. (2017) · Political Analysis · doi:10.1017/pan.2016.2 · Cited by 938 · see citing works
The Augmented Synthetic Control Method
Ben-Michael, E., Feller, A., & Rothstein, J. (2021) · Journal of the American Statistical Association · doi:10.1080/01621459.2021.1929245 · Cited by 462 · see citing works
Balancing, Regression, Difference-In-Differences and Synthetic Control Methods: A Synthesis
Doudchenko, N., & Imbens, G. (2016) · doi:10.3386/w22791 · Cited by 410 · see citing works
Does increasing the beer tax reduce marijuana consumption?
Pacula, R. L. (1998) · Journal of Health Economics · doi:10.1016/s0167-6296(97)00039-8 · Cited by 274 · see citing works
Bradford, A. C., & Bradford, W. D. (2017) · Health Affairs · doi:10.1377/hlthaff.2016.1135 · Cited by 172 · see citing works
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Research works printed but not linked: 42
- Abadie, Alberto, Alexis Diamond, and Jens Hainmueller (2010) "Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California's Tobacco Control Program," Journal of the American Statistical Association, Vol. 105, No. 490, pp. 493-505. (2015) "Comparative Politics and the Synthetic Control Method," American Journal of Political Science, Vol. 59, No. 2, pp. 495-510.
- Abadie, Alberto and Jérémy L'Hour (2019) "A Penalized Synthetic Control Estimator for Disaggregated Data," Working Paper,, pp. 1-35.
- Alberto Abadie (2020) "Using Synthetic Controls: Feasibility, Data Requirements, and Methodological Aspects," Journal of Economic Literature, Vol. Forthcoming.
- Amjad, Muhammad, Devavrat Shah, and Dennis Shen (2018) "Robust synthetic control," Journal of Machine Learning Research, Vol. 19, pp. 1-51.
- Anderson, D. Mark, Benjamin Hansen, and Daniel I. Rees (2013) "Medical Marijuana Laws, Traffic Fatalities, and Alcohol Consumption," The Journal of Law and Economics, Vol. 56, No. 2, pp. 333-369.
- Athey, Susan, Mohsen Bayati, Guido Imbens, and Zhaonan Qu (2019) "Ensemble Methods for Causal Effects in Panel Data Settings," AEA Papers and Proceedings, Vol. 109, pp. 65-70.
- Bachhuber, Marcus A., Brendan Saloner, Chinazo O. Cunningham, and Colleen L. Barry (2014) "Medical cannabis laws and opioid analgesic overdose mortality in the United States, 1999-2010," JAMA Internal Medicine, Vol. 174, No. 10, pp. 1668-1673.
- Baggio, Michele, Alberto Chong, and Sungoh Kwon (2019) "Marijuana and alcohol evidence using border analysis and retail sales data," Canadian Journal of Economics, Vol. Accepted, pp. 1-39.
- Bai, Jushan (2009) "Panel data models with interactive fixed effects," Econometrica, Vol. 77, No. 4, pp. 1229-1279.
- Botosaru, Irene and Bruno Ferman (2019) "On the role of covariates in the synthetic control method," The Econometrics Journal, Vol. 22, No. 2, pp. 117-130.
- Bradford, Ashley C and W David Bradford (2018) "The Impact of Medical Cannabis Legalization on Prescription Medication Use and Costs under Medicare Part D," The Journal of Law and Economics, Vol. 61, No. 3, pp. 461-487.
- Cameron, Lisa and Jenny Williams (2001) "Cannabis, Alcohol and Cigarettes: Substitutes or Complements?," Economic Record, Vol. 77, No. 236, pp. 19-34.
- Cavallo, Eduardo, Sebastian Galiani, Ilan Noy, and Juan Pantano (2013) "Catastrophic Natural Disasters and Economic Growth," Review of Economics and Statistics, Vol. 95, No. 5, pp. 1549-1561.
- Chaloupka, Frank J and Adit Laixuthai (1997) "Do Youths Substitute Alcohol and Marijuana? Some Econometric Evidence," Eastern Economic Journal, Vol. 23, No. 3, pp. 253-276.
- Chamberlain, Gary (1984) "Panel data," Handbook of econometrics, Vol. 2, pp. 1247-1318.
- Crost, Benjamin and Santiago Guerrero (2012) "The effect of alcohol availability on marijuana use: Evidence from the minimum legal drinking age," Journal of Health Economics, Vol. 31, No. 1, pp. 112-121.
- Crost, Benjamin and Daniel I. Rees (2013) "The minimum legal drinking age and marijuana use: New estimates from the NLSY97," Journal of Health Economics, Vol. 32, No. 2, pp. 474-476.
- DiNardo, John and Thomas Lemieux (2001) "Alcohol, marijuana, and American youth: the unintended consequences of government regulation," Journal of Health Economics, Vol. 20, No. 6, pp. 991-1010.
- Evans, William N, Ethan MJ Lieber, and Patrick Power (2019) "How the reformulation of OxyContin ignited the heroin epidemic," Review of Economics and Statistics, Vol. 101, No. 1, pp. 1-15.
- Firpo, Sergio and Vitor Possebom (2018) "Synthetic control method: Inference, sensitivity analysis and confidence sets," Journal of Causal Inference, Vol. 6, No. 2.
- Gobillon, Laurent and Thierry Magnac (2016) "Regional policy evaluation: Interactive fixed effects and synthetic controls," Review of Economics and Statistics, Vol. 98, No. 3, pp. 535-551.
- Hainmueller, Jens (2012) "Entropy balancing for causal effects: A multivariate reweighting method to produce balanced samples in observational studies," Political Analysis, Vol. 20, No. 1, pp. 25-46.
- Hastie, Trevor, Robert Tibshirani, and Jerome Friedman (2009) The elements of statistical learning: data mining, inference and prediction: Springer, 2nd edition.
- Hastie, Trevor, Robert Tibshirani, and Martin Wainwright (2015) Statistical Learning with Sparsity: The Lasso and Generalizations in , Monographs on Statistics and Applied Probability, No. 143, Boca Raton: CRC Press, Taylor & Francis Group.
- Ho, Daniel E., Kosuke Imai, Gary King, and Elizabeth A. Stuart (2007) "Matching as Nonparametric Preprocessing for Reducing Model Dependence in Parametric Causal Inference," Political Analysis, Vol. 15, No. 3, pp. 199-236.
- Hollingsworth, Alex, Coady Wing, and Ashley Bradford (2020) "Comparative Effects of Recreational and Medical Marijuana Laws On Drug Use Among Adults and Adolescents," preprint, SocArXiv.
- Holtz-Eakin, Douglas, Whitney Newey, and Harvey S Rosen (1988) "Estimating vector autoregressions with panel data," Econometrica: Journal of the econometric society, pp. 1371-1395.
- Hyndman, Rob J and George Athanasopoulos (2020) Forecasting: principles and practice, Melbourne, Australia: OTexts, 2nd edition.
- Ibragimov, R. and Sh. Sharakhmetov (2002) "The Exact Constant in the Rosenthal Inequality for Random Variables with Mean Zero," Theory of Probability & Its Applications, Vol. 46, No. 1, pp. 127-132.
- King, Gary and Langche Zeng (2006) "The Dangers of Extreme Counterfactuals," Political Analysis, Vol. 14, No. 2, pp. 131-159.
- Pacula, Rosalie L., David Powell, Paul Heaton, and Eric L. Sevigny (2015) "Assessing the Effects of Medical Marijuana Laws on Marijuana Use: The Devil is in the Details," Journal of Policy Analysis and Management, Vol. 34, No. 1, pp. 7-31.
- Powell, David, Rosalie Liccardo Pacula, and Mireille Jacobson (2018) "Do medical marijuana laws reduce addictions and deaths related to pain killers?," Journal of Health Economics, Vol. 58, No. November, pp. 29-42.
- Robbins, Michael W, Jessica Saunders, and Beau Kilmer (2017) "A framework for synthetic control methods with high-dimensional, micro-level data: evaluating a neighborhood-specific crime intervention," Journal of the American Statistical Association, Vol. 112, No. 517, pp. 109-126.
- Roine, Jesper and Daniel Waldenström (2011) "Common trends and shocks to top incomes: a structural breaks approach," Review of Economics and Statistics, Vol. 93, No. 3, pp. 832-846.
- Rosenbaum, Paul R. (2002) Observational Studies, Springer Series in Statistics, New York: Springer Science and Business Media, 2nd edition.
- Shi, Yuyan (2017) "Medical marijuana policies and hospitalizations related to marijuana and opioid pain reliever," Drug and Alcohol Dependence, Vol. 173, pp. 144-150.
- Stock, James H and Mark W Watson (2002) "Forecasting using principal components from a large number of predictors," Journal of the American statistical association, Vol. 97, No. 460, pp. 1167-1179.
- Tibshirani, Ryan J (2013) "The lasso problem and uniqueness," Electronic Journal of statistics, Vol. 7, pp. 1456-1490.
- Wen, Hefei and Jason M Hockenberry (2018) "Association of medical and adult-use marijuana laws with opioid prescribing for Medicaid enrollees," JAMA internal medicine, Vol. 178, No. 5, pp. 673-679.
- Wen, Hefei, Jason M. Hockenberry, and Janet R. Cummings (2015) "The Effect of Medical Marijuana Laws on Adolescent and Adult use of Marijuana, Alcohol, and Other Substances," Journal of Health Economics, Vol. 42, pp. 64-80.
- Williams, Jenny, Rosalie Liccardo Pacula, Frank J. Chaloupka, and Henry Wechsler (2004) "Alcohol and marijuana use among college students: economic complements or substitutes?," Health Economics, Vol. 13, No. 9, pp. 825-843.
- Yörük, Barıs ¸K. and Ceren Ertan Yörük (2011) "The impact of minimum legal drinking age laws on alcohol consumption, smoking, and marijuana use: Evidence from a regression discontinuity design using exact date of birth," Journal of Health Economics, Vol. 30, No. 4, pp. 740-752.
Cited by
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Drug Decriminalization, Fentanyl, and Fatal Overdoses in Oregon
Zoorob, M. J., Park, J. N., Kral, A. H., Lambdin, B. H., & del Pozo, B. (2024) · JAMA Network Open · doi:10.1001/jamanetworkopen.2024.31612 · Cited by 52 · see citing works
- Authors
- Hollingsworth, A., & Wing, C.
- Affiliations
- National Bureau of Economic Research (US)
- Corresponding author
- Hollingsworth, Alex
- Venue
- SSRN Electronic Journal
- Publisher
- Elsevier BV
- Published
- 2020
- ISSN
- 1556-5068 (ISSN-L)
- OpenAlex
- W3122665762
- Cited by
- 53
- References
- 7
- Citations by year
- 2026: 9 · 2025: 9 · 2024: 14 · 2023: 10 · 2022: 8 · 2021: 1 · 2020: 1 · 2019: 1
- Type
- posted content
- Language
- en
- Open access
- green
- doi.org
- Locations
- SSRN Electronic Journal (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- SocArXiv (OSF Preprints) (submittedVersion, cc-by)
- SocArXiv (OSF Preprints) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Social Sciences › Decision Sciences › Management Science and Operations Research › Evaluation and Performance Assessment
- Social Sciences › Decision Sciences › Management Science and Operations Research › demographic modeling and climate adaptation
- Keywords
- synthetic control method, causal inference, identifying assumptions, high-dimensional data, LASSO, model selection, extrapolation, negative weights, recreational cannabis legalization, alcohol sales, over-the-counter analgesics
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