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Identification of Treatment Effects under Conditional Partial Independence

Matthew A. Masten, Alexandre Poirier

arXiv 29 Jul 2017 · Statistics — Methodology · publishedEconometrica (2018) · 52 citations (OpenAlex)

arXiv:1707.09563 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Conditional independence of treatment assignment from potential outcomes is a commonly used but nonrefutable assumption. We derive identified sets for various treatment effect parameters under nonparametric deviations from this conditional independence assumption. These deviations are defined via a conditional treatment assignment probability, which makes it straightforward to interpret. Our results can be used to assess the robustness of empirical conclusions obtained under the baseline conditional independence assumption.

Citation extraction

30
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45
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appendix boundary found by appendix_command · 45% 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
1Imbens, G. W (2003) Sensitivity to exogeneity assumptions in program evaluation1.00063100%
2Rosenbaum, P. R. and D. B. Rubin (1983) Assessing sensitivity to an unobserved binary covariate in an observational study with binary outcome0.73732100%
3Altonji, J. G., T. E. Elder, and C. R. Taber (2005) Selection on observed and unobserved variables: Assessing the effectiveness of Catholic schools0.64422100%
4Altonji, J. G., T. E. Elder, and C. R. Taber (2008) Using selection on observed variables to assess bias from unobservables when evaluating Swan-Ganz catheterization0.64422100%
5Manski, C. F (2007) Identification for Prediction and Decision0.64422100%
6Robins, J. M., A. Rotnitzky, and D. O. Scharfstein (2000) Sensitivity analysis for selection bias and unmeasured confounding in missing data and causal inference models, in0.64422100%
7Imbens, G. W. and D. B. Rubin (2015) Causal Inference in Statistics, Social, and Biomedical Sciences0.58531100%
8Cornfield, J., W. Haenszel, E. C. Hammond, A. M. Lilienfeld, M. B. S… (1959) Smoking and lung cancer: Recent evidence and a discussion of some questions0.51121100%
9Masten, M. A. and A. Poirier (2016) Partial independence in nonseparable models self0.51121100%
10Canay, I. A. and A. M. Shaikh (2017) Practical and theoretical advances in inference for partially identified models, in0.40511100%

Showing the top 10 of 30 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
1Assessing Sensitivity to Unconfoundedness: Estimation and Inference1.000133
2Sensitivity Analysis for Linear Estimators1.00093
3A General Approach to Relaxing Unconfoundedness1.00053
4Breakdown Analysis for Instrumental Variables with Binary Outcomes0.94164
5Sensitivity Analysis for Instrumental Variables Under Joint Relaxations of Monotonicity and Independence0.94166
6Inference on Breakdown Frontiers0.90986
7TITLE0.87452
8Nonparametric Instrumental Variables Estimation Under Misspecification0.81142
9Salvaging Falsified Instrumental Variable Models0.73732
10Interpreting Quantile Independence0.72184