The DOI matches its Crossref record; 36 of the 37 references it cites were found in a registry or an index.
Inference in Differences-in-Differences with Few Treated Groups and Heteroskedasticity
Abstract
We derive an inference method that works in differences-in-differences settings with few treated and many control groups in the presence of heteroskedasticity. As a leading example, we provide theoretical justification and empirical evidence that heteroskedasticity generated by variation in group sizes can invalidate existing inference methods, even in data sets with a large number of observations per group. In contrast, our inference method remains valid in this case. Our test can also be combined with feasible generalized least squares, providing a safeguard against misspecification of the serial correlation.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Ferman and Pinto (2019) extend the approach of Conley and Taber (2011) to allow for heteroskedasticity caused by heterogeneity in group sizes or other observable characteristics, but must still restrict heterogeneity based on unobserved characteristics (e.g. unobserved treatment effect heterogeneity).”
From What's trending in difference-in-differences? A synthesis of the recent econometrics literature (2023) · cites this paper as Ferman and Pinto (2019)
Citations
Cites
Longitudinal data analysis using generalized linear models
LIANG, K.-Y., & ZEGER, S. L. (1986) · Biometrika · doi:10.1093/biomet/73.1.13 · Cited by 18,550
How Much Should We Trust Differences-in-Differences Estimates?
Bertrand, M., Duflo, E., & Mullainathan, S. (2004) · The Quarterly Journal of Economics · doi:10.1162/003355304772839588 · Cited by 10,641
Mostly Harmless Econometrics: An Empiricist's Companion
Angrist, J. D., & Pischke, J.-S. (2009) · doi:10.1515/9781400829828 · Cited by 9,467
Journal of The American Statistical Association
Fienberg, S. E. (2004) · Encyclopedia of Statistical Sciences · doi:10.1002/0471667196.ess1317 · Cited by 6,289
Abadie, A., Diamond, A., & Hainmueller, J. (2010) · Journal of the American Statistical Association · doi:10.1198/jasa.2009.ap08746 · Cited by 5,513
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
Bootstrap-Based Improvements for Inference With Clustered Errors
Cameron, A. C., Gelbach, J. B., & Miller, D. L. (2008) · Review of Economics and Statistics · doi:10.1162/rest.90.3.414 · Cited by 4,417
Random group effects and the precision of regression estimates
Moulton, B. R. (1986) · Journal of Econometrics · doi:10.1016/0304-4076(86)90021-7 · Cited by 1,574
Inference with Difference-in-Differences and Other Panel Data
Donald, S. G., & Lang, K. (2007) · Review of Economics and Statistics · doi:10.1162/rest.89.2.221 · Cited by 1,324
Cluster-Sample Methods in Applied Econometrics
Wooldridge, J. M. (2003) · American Economic Review · doi:10.1257/000282803321946930 · Cited by 1,183
Flagged first, then by citations
1 of the 37 references couldn’t be matched to a known paper.
Research works printed but not linked: 3
- Behrens Walter, 1929, Landwirtschaftliche Jahrbucher, 68, 807
- Bell R. M., 2002, Survey Methodology, 28, 169
- Fisher Ronald A., 1935, The Design of Experiments
Cited by
Sorted by citations
Items 101–180 of 180
The Recreational Value of Rare Species: Causal Evidence from the Cassia Crossbill
Wardle, A. R. (2024) · Journal of the Association of Environmental and Resource Economists · doi:10.1086/733759 · Cited by 2
Local Economic Impacts of Hydroelectric Power Plants: Evidence from Brazil
Costa, F., Szerman, D., & Assunção, J. J. (2025) · Economía · doi:10.31389/eco.466 · Cited by 2
An introduction to flexible methods for policy evaluation
Huber, M. (2021) · Edward Elgar Publishing eBooks · doi:10.4337/9781788976480.00010 · Cited by 2
Disasters and mental health: evidence from the Fundao tailing dam breach in Mariana, Brazil
Matsunaga, L. (2020) · Digital Library of Theses and Dissertations (Universidade de São Paulo) · doi:10.11606/d.12.2020.tde-12012021-164813 · Cited by 3
Hembre, E., McElroy, K., & Ohannessian, S. (2024) · Contemporary Economic Policy · doi:10.1111/coep.12650 · Cited by 2
Semprini, J. (2024) · Journal of Evaluation in Clinical Practice · doi:10.1111/jep.14055 · Cited by 1
How digital credit platforms impact the ability of businesses to raise finance?
Xu, Y., Wang, Y., Wang, Y., Zeng, X., & Lu, F. (2025) · Applied Economics · doi:10.1080/00036846.2025.2536744 · Cited by 1
Inclusive financial policies and bank lending
Ahamed, M. M., & Jelic, R. (2026) · European Journal of Finance · doi:10.1080/1351847x.2026.2626467 · Cited by 1
Sustained exchange rate misalignments and long-run growth
Martins, G. K., & Razmi, A. (2026) · International Review of Applied Economics · doi:10.1080/02692171.2026.2666154 · Cited by 1
Jackknife Standard Errors for Clustered Regression
Hansen, B. E. (2026) · The Review of Economic Studies · doi:10.1093/restud/rdag050 · Cited by 1
Urban agglomeration, comprehensive financial development, and market segmentation
Yuan, Y., Huang, D., Yan, J., & Zhou, R. (2026) · Pacific-Basin Finance Journal · doi:10.1016/j.pacfin.2026.103239 · Cited by 1
Unconditional Cash Transfers and Early Child Maltreatment
Ryan, J. J., Baron, J., Qi, Z., Perron, B. E., & Victor, B. G. (2026) · Child Maltreatment · doi:10.1177/10775595261493431 · Cited by 1
Do Democracy Vouchers help democracy?
Papich, S. (2023) · Contemporary Economic Policy · doi:10.1111/coep.12625 · Cited by 1
Khalil, U., & Sanfelice, V. (2025) · Journal of Public Economics · doi:10.1016/j.jpubeco.2025.105316 · Cited by 2
Transitional Justice Process: A Study of the Truth and Dignity Commission in Tunisia
Ibrahim, R., & Nasirudeen, I. A. (2022) · International Journal of Humanities and Applied Social Science · doi:10.33642/ijhass.v7n2p1 · Cited by 1
Matching Estimators with Few Treated and Many Control ObservationsPreprint
Ferman, B. (2019) · RePEc: Research Papers in Economics · doi:10.48550/arxiv.1909.05093 · Cited by 3
Self-citationCragun, R. (2019) · RePEc: Research Papers in Economics · Cited by 1
For the Good of the Kids: Three Essays about the Economics of Child Welfare
Prettyman, A. (2022) · Digital Archive @ GSU · doi:10.57709/23624826 · Cited by 1
Alcohol Price Floors and Externalities: The Case of Fatal Road CrashesPreprint
Francesconi, M., & James, J. (2022) · SSRN Electronic Journal · doi:10.2139/ssrn.4114860 · Cited by 1
Estimating Policy Effects using Lagged Outcome Values to Impute CounterfactualsPreprint
Powell, D., Griffin, B. A., & Wolfson, T. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4474837 · Cited by 1
Long-Term Impacts of Achievement-Based School AssignmentPreprint
Molin, E. (2023) · SSRN Electronic Journal · doi:10.2139/ssrn.4638401 · Cited by 1
Awakening Latent Human Capital: The Opening-Up and Entrepreneurship in 19th-Century ChinaPreprint
Duan, L., & Zhang, X. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4747370 · Cited by 1
Parfitt, R. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4931249 · Cited by 1
Does the Market Model Provide a Good Counterfactual for Event Studies in Finance?Preprint
Castro-Iragorri, C. (2017) · SSRN Electronic Journal · doi:10.2139/ssrn.3084275
Inference in Differences-in-Differences: How Much Should We Trust in Independent Clusters?
Ferman, B. (2019) · Munich Personal RePEc Archive (Ludwig Maximilian University of Munich)
Self-citationPolice Repression and Protest Behavior: Evidence from Student Protests in ChilePreprint
González, F., & Prem, M. (2020) · SSRN Electronic Journal · doi:10.2139/ssrn.3705486
Inference on Quantile Treatment Effects with Small Treatment GroupsPreprint
Dias, M. V. B., & Pouzo, D. (2021) · RePEc: Research Papers in Economics · doi:10.48550/arxiv.2105.10965
Mensurando os benefícios de combate a cartéis : o caso do cartel de britas
Resende, G., Motta, L. V., & Lima, R. C. D. A. (2020) · Livros · doi:10.38116/978-65-5635-015-8cap4
Maranhão, A. (2022) · CADERNOS DE FINANÇAS PÚBLICAS · doi:10.55532/1806-8944.2022.140 · Cited by 2
The Cost of Public Financing: Crowding Out in the Context of Political CampaignsPreprint
Papich, S. (2021) · SSRN Electronic Journal · doi:10.2139/ssrn.3938509
CONTRIBUTIONS TO THE ECONOMETRICS OF COUNTERFACTUAL ANALYSIS
MASINI, R. P. (2016) · doi:10.17771/pucrio.acad.30485
Alcohol Price Floors and Externalities: The Case of Fatal Road CrashesPreprint
Francesconi, M., & James, J. (2022) · SSRN Electronic Journal · doi:10.2139/ssrn.4118079
Welfare Analysis of Changing Notches: Evidence from Bolsa Família
Bergstrom, K., Dodds, W., & Ríos, J. (2022) · World Bank policy research working paper · doi:10.1596/1813-9450-10117
Estimating Policy Effects using Lagged Outcome Values to Impute Counterfactuals
Powell, D., Griffin, B. A., & Wolfson, T. (2023) · RAND Corporation eBooks · doi:10.7249/wra2887-1 · Cited by 1
Proshin, A. (2021) · doi:10.70675/29b705b7z97d9z474eza905z79e04daaf0ff
Measuring the impact of assortment change in retail stores using the synthetic control method
Nidhin, V. C., Prakash, R., & Safil, P. M. (2024) · Journal of Business & Retail Management Research · doi:10.24052/jbrmr/v18is02/art-01
Vulture Marketing: How Competitor Brands Can Capitalize on Brand PulloutsPreprint
Keller, K. O., & van Heerde, H. J. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4852739
Effects of Losing Medicaid on Body Weight and Health BehaviorsPreprint
Rahman, M. T. (2024) · SSRN Electronic Journal · doi:10.2139/ssrn.4973914
Landers, J., & Liu, I. (2025) · Economic Development Quarterly · doi:10.1177/08912424241310108
Yang, J.-S. (2025) · The Journal of Development Studies · doi:10.1080/00220388.2025.2456907
Paraguay’s suspension from Mercosur: How does uncertainty affect economic activity?
Pinheiro, J., & Ehrl, P. (2025) · Journal of Economic Studies · doi:10.1108/jes-09-2024-0599
Welfare Analysis of Changing Notches: Evidence from Bolsa Família
Bergstrom, K., Dodds, W. B., & Ríos, J. (2025) · American Economic Journal Economic Policy · doi:10.1257/pol.20230024 · Cited by 3
Cruz, M., Shortreed, S. M., Simon, G. E., & Coley, R. Y. (2025) · Health Services Research · doi:10.1111/1475-6773.70015
Capital taxation, income shifting and retained earnings: evidence from dividend tax reforms
Berman, Y., & Klor, E. F. (2026) · Fiscal Studies · doi:10.1111/1475-5890.70034
Robust IV inference with clustering dependence
Cao, J. (2025) · Econometrics Journal · doi:10.1093/ectj/utaf021
Public Health Insurance and Employment Lock: Resolving the TennCare PuzzlePreprint
Rahman, M. T. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6037794
Medicaid and health resilience: Evidence from TennCare disenrollment
Rahman, M. T. (2026) · Economics & Human Biology · doi:10.1016/j.ehb.2026.101640
No Hitting: Effects of a Ban on Corporal Punishment for Students With Disabilities
Hall, T. (2026) · Educational Evaluation and Policy Analysis · doi:10.3102/01623737251407602
Sienra, R. S. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6485021
School accountability and student achievement: neighbouring schools matter
Morozumi, A., & Tanaka, R. (2026) · Oxford Economic Papers · doi:10.1093/oep/gpag004
An Impact Evaluation of the Effects of Income Support Benefits on Aggregate Labour SupplyPreprint
Román, J. M., & Román, Á. M. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6478202
The Impact of the UEFA Women’s EURO on Hotel Overnight Stays: Evidence From a Causal Analysis
Wallimann, H., & Mehr, A. (2026) · Journal of Sports Economics · doi:10.1177/15270025261434474
The fiscal consequences of special district consolidation: Evidence from California
Clair, T. S. (2026) · Regional Science and Urban Economics · doi:10.1016/j.regsciurbeco.2026.104228
Lock-In by Design: How a Notched Transfer Tax Freezes an Asset MarketPreprint
Nunez, C., & Nguyen, H. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6608978
Pagarani, V. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6477740
Difference-in-Differences in Asset Pricing: Identification Challenges under Portfolio AggregationPreprint
Han, Y., Lu, Y., Xu, W., & Zhou, G. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6637359
Peng, T.-C., & Lin, S. (2026) · Social Science Japan Journal · doi:10.1093/ssjj/jyag008
Morozumi, A., & Tanaka, R. (2026) · Oxford Bulletin of Economics and Statistics · doi:10.1111/obes.70097
The Long Shadow of a Sudden RiverPreprint
Milsom, L. H. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6827163
Gider, M. T., Wu, J., & Gider, M. T. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.6835493
Impact of microcredit on multidimensional poverty and vulnerability in India
Maharana, R., & Shaw, T. S. (2026) · Economic Modelling · doi:10.1016/j.econmod.2026.107715
Driving Change: The Impact of Low Emission Zones on Commuting BehaviorsPreprint
Adam, A., Colle, P., & Guillot, M. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7000372
Feldman, C., & Semprini, J. (2026) · Journal of Cancer Policy · doi:10.1016/j.jcpo.2026.100777
The effect of Hurricane Otis on card payments in Mexico
Juárez‐Torres, M., de León, C. I. U. P., & Maldonado, D. G. G. (2026) · Latin American Journal of Central Banking · doi:10.1016/j.latcb.2026.100214
Annadurai, G., & Sahoo, S. (2026) · Journal of Economic Behavior & Organization · doi:10.1016/j.jebo.2026.107722
Chraibi, G. (2026) · Studies in Comparative International Development · doi:10.1007/s12116-026-09517-2
The Impact of Taiwan's House Hoarding Tax on Transaction PricesPreprint
Lai, T.-C. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7404379
Lal, M. (2026) · Theory and Society · doi:10.1007/s11186-026-09746-3
Gao, J., Li, Y., Xin, D., & Yang, X. (2026) · Sustainability · doi:10.3390/su18189494
The Long Shadow of a Sudden RiverPreprint
Milsom, L. H. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7478684
Fueling green innovation: How climate policy reshapes corporate capital structure
Chang, X., Xie, Y., & Xu, W. (2026) · Journal of Innovation & Knowledge · doi:10.1016/j.jik.2026.101162
Heterogeneous effects of distressed utilities policy on wastewater compliance
Jeon, Y., & Cho, C. (2026) · Environmental Research Communications · doi:10.1088/2515-7620/ae9f32
Guo, Z., & Lu, H. (2026) · Ecological Chemistry and Engineering S · doi:10.2478/eces-2026-0020
Cash Transfers and Female Labour Supply: Evidence from Six Natural Experiments in IndiaPreprint
Raghunathan, R., Shah, P., & Parle, P. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7607159
Do Academic Credentials Still Predict Professional Competence After Generative AI?Preprint
Bamasoud, D. M., Alqahtani, M. A., & Mohammad, R. (2026) · Research Square · doi:10.21203/rs.3.rs-11163181/v1
Two-cluster Difference-in-Differences via Maximally Detectable Placebo EffectPreprint
Ramos, M. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7645879
Danso, F. K., Mkhize, M. V., Prempeh, K. B., & Owusu, M. (2026) · SSRN Electronic Journal · doi:10.2139/ssrn.7656759
Sectoral reallocation without tariff effects: evidence from the Turkey–morocco free trade agreement
MOUGHAMIR, B., & Mansouri, Z. (2026) · SN Business & Economics · doi:10.1007/s43546-026-01523-9
Who pays for rearmament? Budget re-compositing and fiscal expansion in the European Union
Tutar, H., Gün, M., Firstová, J., & Tangl, A. (2026) · JOURNAL OF INTERNATIONAL STUDIES · doi:10.14254/2071-8330.2026/19-3/10
Metadata
- Authors
- Ferman, B., & Pinto, C.
- Affiliations
- Escola de Economia de São Paulo (BR)
- Venue
- The Review of Economics and Statistics
- Publisher
- MIT Press
- Published
- 2019-07
- Volume
- 101
- Issue
- 3
- Pages
- 452-467
- ISSN
- 0034-6535 (ISSN-L)
- 1530-9142
- OpenAlex
- W2113132502
- Cited by
- 178
- References
- 37
- Citations by year
- 2026: 41 · 2025: 19 · 2024: 20 · 2023: 14 · 2022: 21 · 2021: 24 · 2020: 18 · 2019: 12
- FWCI
- 11.83
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- The Review of Economics and Statistics (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Causal Inference Techniques
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Spatial and Panel Data Analysis
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Keywords
- difference-in-differences, heteroscedasticity, inference, serial correlation, feasible generalized least squares, model misspecification, causal inference
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review