Design-Based Uncertainty for Quasi-Experiments

Fuente: arXiv
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Main Authors: Rambachan, Ashesh, Roth, Jonathan
Format: Preprint
Published: 2020
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author Rambachan, Ashesh
Roth, Jonathan
author_facet Rambachan, Ashesh
Roth, Jonathan
contents Design-based frameworks of uncertainty are frequently used in settings where the treatment is (conditionally) randomly assigned. This paper develops a design-based framework suitable for analyzing quasi-experimental settings in the social sciences, in which the treatment assignment can be viewed as the realization of some stochastic process but there is concern about unobserved selection into treatment. In our framework, treatments are stochastic, but units may differ in their probabilities of receiving treatment, thereby allowing for rich forms of selection. We provide conditions under which the estimands of popular quasi-experimental estimators correspond to interpretable finite-population causal parameters. We characterize the biases and distortions to inference that arise when these conditions are violated. These results can be used to conduct sensitivity analyses when there are concerns about selection into treatment. Taken together, our results establish a rigorous foundation for quasi-experimental analyses that more closely aligns with the way empirical researchers discuss the variation in the data.
format Preprint
id arxiv_https___arxiv_org_abs_2008_00602
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle Design-Based Uncertainty for Quasi-Experiments
Rambachan, Ashesh
Roth, Jonathan
Econometrics
Methodology
Design-based frameworks of uncertainty are frequently used in settings where the treatment is (conditionally) randomly assigned. This paper develops a design-based framework suitable for analyzing quasi-experimental settings in the social sciences, in which the treatment assignment can be viewed as the realization of some stochastic process but there is concern about unobserved selection into treatment. In our framework, treatments are stochastic, but units may differ in their probabilities of receiving treatment, thereby allowing for rich forms of selection. We provide conditions under which the estimands of popular quasi-experimental estimators correspond to interpretable finite-population causal parameters. We characterize the biases and distortions to inference that arise when these conditions are violated. These results can be used to conduct sensitivity analyses when there are concerns about selection into treatment. Taken together, our results establish a rigorous foundation for quasi-experimental analyses that more closely aligns with the way empirical researchers discuss the variation in the data.
title Design-Based Uncertainty for Quasi-Experiments
topic Econometrics
Methodology
url https://arxiv.org/abs/2008.00602