EconBase
← All papers

Retrospective causal inference via matrix completion, with an evaluation of the effect of European integration on cross-border employment

Jason Poulos, Andrea Albanese, Andrea Mercatanti, Fan Li

arXiv 1 Jun 2021 · Statistics — Methodology · 1 citations (OpenAlex)

arXiv:2106.00788 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We propose a method of retrospective counterfactual imputation in panel data settings with later-treated and always-treated units, but no never-treated units. We use the observed outcomes to impute the counterfactual outcomes of the later-treated using a matrix completion estimator. We propose a novel propensity-score and elapsed-time weighting of the estimator's objective function to correct for differences in the observed covariate and unobserved fixed effects distributions, and elapsed time since treatment between groups. Our methodology is motivated by studying the effect of two milestones of European integration -- the Free Movement of persons and the Schengen Agreement -- on the share of cross-border workers in sending border regions. We apply the proposed method to the European Labour Force Survey (ELFS) data and provide evidence that opening the border almost doubled the probability of working beyond the border in Eastern European regions.

Citation extraction

60
references
88
in-text mentions
60
distinct cited
2
self-citations
8,421
main-text words

appendix boundary found by none_found · 100% of the source is main text. Read the extracted text to check this.

Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Athey, S., Bayati, M., Doudchenko, N., Imbens, G. and Khosravi, K. (… (2017) arXiv:1710.102511.00074100%
2Beerli, A., Ruffner, J., Siegenthaler, M. and Peri, G. (2020) The ab… Working Paper 25302, National Bureau of Economic Research1.00054100%
3Xu, Y. (2017) Generalized synthetic control method: Causal inference… Political Analysis, 25, 57–760.92843100%
4Athey, S. and Imbens, G. (2018) Design-based analysis in difference-… arXiv:1808.052930.73732100%
5Åslund, O. and Engdahl, M. (2019) Open borders, transport links, and… International Migration Review, 53, 706–7350.64422100%
6Basten, C. and Siegenthaler, M. (2019) Do immigrants take or create… The Scandinavian Journal of Economics, 121, 994–10190.64422100%
7Dustmann, C., Schönberg, U. and Stuhler, J. (2016) Labor supply shoc… The Quarterly Journal of Economics, 132, 435–4830.64422100%
8Abadie, A. (2005) Semiparametric difference-in-differences estimators The Review of Economic Studies, 72, 1–190.64422100%
9Abadie, A., Diamond, A. and Hainmueller, J. (2010) Synthetic control… Journal of the American Statistical Association, 105, 493–5050.64422100%
10Aepli, M. and Kuhn, A. (2019) Open labor markets and firms’ substitu… IZA discussion papers, Institute of Labor Economics (IZA)0.64422100%

Showing the top 10 of 60 scored citations.