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On Quantile Treatment Effects, Rank Similarity, and Variation of Instrumental Variables

Sukjin Han, Haiqing Xu

arXiv 27 Nov 2023 · Econometrics

arXiv:2311.15871 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper investigates how certain relationship between observed and counterfactual distributions serves as an identifying condition for treatment effects when the treatment is endogenous, and shows that this condition holds in a range of nonparametric models for treatment effects. To this end, we first provide a novel characterization of the prevalent assumption restricting treatment heterogeneity in the literature, namely rank similarity. Our characterization demonstrates the stringency of this assumption and allows us to relax it in an economically meaningful way, resulting in our identifying condition. It also justifies the quest of richer exogenous variations in the data (e.g., multi-valued or multiple instrumental variables) in exchange for weaker identifying conditions. The primary goal of this investigation is to provide empirical researchers with tools that are robust and easy to implement but still yield tight policy evaluations.

Citation extraction

32
references
50
in-text mentions
32
distinct cited
2
self-citations
15,988
main-text words

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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
1Chernozhukov, V. and C. Hansen (2005) An IV model of quantile treatment effects1.00075100%
2Vuong, Q. and H. Xu (2017) Counterfactual mapping and individual treatment effects in nonseparable models with binary endogeneity0.84333100%
3Imbens, G. W. and J. D. Angrist (1994) Identification and Estimation of Local Average Treatment Effects0.81142100%
4Calafiore, G. and M. C. Campi (2005) Uncertain convex programs: randomized solutions and confidence levels0.73732100%
5Abadie, A., J. Angrist, and G. Imbens (2002) Instrumental variables estimates of the effect of subsidized training on the quantiles of trainee earnings0.64422100%
6Dong, Y. and S. Shen (2018) Testing for rank invariance or similarity in program evaluation0.64422100%
7Han, S. and S. Yang (2023) A Computational Approach to Identification of Treatment Effects for Policy Evaluation self0.64422100%
8Kim, J. H. and B. G. Park (2022) Testing rank similarity in the local average treatment effects model0.64422100%
9Mogstad, M., A. Torgovitsky, and C. R. Walters (2021) The causal interpretation of two-stage least squares with multiple instrumental variables0.51121100%
10Chesher, A (2005) Nonparametric identification under discrete variation0.40511100%

Showing the top 10 of 32 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Distributional Treatment Effect with Latent Rank Invariance0.40511