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On Recoding Ordered Treatments as Binary Indicators

Evan K. Rose, Yotam Shem-Tov

arXiv 24 Nov 2021 · Econometrics · publishedThe Review of Economics and Statistics (2024) · 3 citations (OpenAlex)

arXiv:2111.12258 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Researchers using instrumental variables to investigate ordered treatments often recode treatment into an indicator for any exposure. We investigate this estimand under the assumption that the instruments shift compliers from no treatment to some but not from some treatment to more. We show that when there are extensive margin compliers only (EMCO) this estimand captures a weighted average of treatment effects that can be partially unbundled into each complier group's potential outcome means. We also establish an equivalence between EMCO and a two-factor selection model and apply our results to study treatment heterogeneity in the Oregon Health Insurance Experiment.

Citation extraction

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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
1Angrist and Imbens (1995) Two-Stage Least Squares Estimation of Average Causal Effects in Models with Variable Treatment Intensity0.9619389%
2Finkelstein, Taubman, Wright, Bernstein, Gruber, Newhouse, Allen, Ba… (2012) The Oregon Health Insurance Experiment: Evidence from the First Year0.95315487%
3Abadie (2003) Semiparametric instrumental variable estimation of treatment response models0.9285380%
4Andresen and Huber (2021) Instrument-based estimation with binarised treatments: issues and tests for the exclusion restriction0.8947371%
5Heckman and Vytlacil (2005) Structural Equations, Treatment Effects, and Econometric Policy Evaluation0.8434475%
6Heckman, Urzua and Vytlacil (2006) Understanding Instrumental Variables in Models with Essential Heterogeneity0.84333100%
7Rose and Shem-Tov (2021) How does incarceration affect reoffending? Estimating the dose-response function0.81142100%
8Vytlacil (2006) Ordered Discrete-Choice Selection Models and Local Average Treatment Effect Assumptions: Equivalence, Nonequivalence, and Repres…0.81142100%
9Imbens and Rubin (1997) Estimating Outcome Distributions for Compliers in Instrumental Variables Models0.73732100%
10Vytlacil (2002) Independence, Monotonicity, and Latent Index Models: An Equivalence Result0.73732100%

Showing the top 10 of 56 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
1On the falsification of instrumental variable models for heterogeneous treatment effects0.51132
2Instrumental Variables with Time-Varying Exposure: New Estimates of Revascularization Effects on Quality of Life0.51121
32SLS with Multiple Treatments0.40511
4Identification and Estimation in a Class of Potential Outcomes Models0.40511
5Heterogeneity Analysis with Heterogeneous Treatments0.40511