arXiv 14 Jul 2025 · Econometrics · 1 citations (OpenAlex)
arXiv:2507.10242 · PDF · DOI · OpenAlex · Extracted main text
This paper studies the partial identification of treatment effects in Instrumental Variables (IV) settings with binary outcomes under violations of independence. I derive the identified sets for the treatment parameters of interest in the setting, as well as breakdown values for conclusions regarding the true treatment effects. I derive $\sqrt{N}$-consistent nonparametric estimators for the bounds of treatment effects and for breakdown values. These results can be used to assess the robustness of empirical conclusions obtained under the assumption that the instrument is independent from potential quantities, which is a pervasive concern in studies that use IV methods with observational data. In the empirical application, I show that the conclusions regarding the effects of family size on female unemployment using same-sex siblings as the instrument are highly sensitive to violations of independence.
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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.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Masten, M. A. and Poirier, A (2018) Identification of treatment effects under conditional partial independence | 0.941 | 6 | 4 | 83% |
| 2 | Kline, P. and Santos, A (2013) Sensitivity to missing data assumptions: Theory and an evaluation of the u.s. wage structure | 0.928 | 4 | 3 | 100% |
| 3 | Masten, M. A. and Poirier, A (2020) Inference on breakdown frontiers | 0.843 | 5 | 3 | 60% |
| 4 | Fang, Z. and Santos, A (2018) Inference on directionally differentiable functions | 0.737 | 3 | 3 | 67% |
| 5 | Angrist, J. D. and Evans, W. N (1998) Children and their parents' labor supply: Evidence from exogenous variation in family size | 0.644 | 2 | 2 | 100% |
| 6 | Rambachan, A. and Roth, J (2025) Design-based uncertainty for quasi-experiments | 0.644 | 2 | 2 | 100% |
| 7 | Machado, C., Shaikh, A. M., and Vytlacil, E. J (2019) Instrumental variables and the sign of the average treatment effect | 0.405 | 1 | 1 | 100% |
| 8 | Altonji, J. G., Elder, T. E., and Taber, C. R (2008) Using selection on observed variables to assess bias from unobservables when evaluating swan-ganz catheterization | 0.405 | 1 | 1 | 100% |
| 9 | Chesher, A. and Rosen, A. M (2013) What do instrumental variable models deliver with discrete dependent variables? | 0.405 | 1 | 1 | 100% |
| 10 | Cinelli, C. and Hazlett, C (2025) An omitted variable bias framework for sensitivity analysis of instrumental variables | 0.405 | 1 | 1 | 100% |
Showing the top 10 of 22 scored citations.
arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.
| Citing paper | Intensity | Mentions | Sections | |
|---|---|---|---|---|
| 1 | The Markup Falsification Adaptive Set | 0.405 | 1 | 1 |