Synthetic Controls for Experimental Design

Fuente: arXiv
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Autori principali: Abadie, Alberto, Zhao, Jinglong
Natura: Preprint
Pubblicazione: 2021
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author Abadie, Alberto
Zhao, Jinglong
author_facet Abadie, Alberto
Zhao, Jinglong
contents This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the treatment may result in treated and control groups with very different characteristics at baseline, inducing biases. We propose a variety of experimental non-randomized synthetic control designs (Abadie, Diamond and Hainmueller, 2010, Abadie and Gardeazabal, 2003) that select the units to be treated, as well as the untreated units to be used as a control group. Average potential outcomes are estimated as weighted averages of the outcomes of treated units for potential outcomes with treatment, and weighted averages the outcomes of control units for potential outcomes without treatment. We analyze the properties of estimators based on synthetic control designs and propose new inferential techniques. We show that in experimental settings with aggregate units, synthetic control designs can substantially reduce estimation biases in comparison to randomization of the treatment.
format Preprint
id arxiv_https___arxiv_org_abs_2108_02196
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Synthetic Controls for Experimental Design
Abadie, Alberto
Zhao, Jinglong
Methodology
Econometrics
This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the treatment may result in treated and control groups with very different characteristics at baseline, inducing biases. We propose a variety of experimental non-randomized synthetic control designs (Abadie, Diamond and Hainmueller, 2010, Abadie and Gardeazabal, 2003) that select the units to be treated, as well as the untreated units to be used as a control group. Average potential outcomes are estimated as weighted averages of the outcomes of treated units for potential outcomes with treatment, and weighted averages the outcomes of control units for potential outcomes without treatment. We analyze the properties of estimators based on synthetic control designs and propose new inferential techniques. We show that in experimental settings with aggregate units, synthetic control designs can substantially reduce estimation biases in comparison to randomization of the treatment.
title Synthetic Controls for Experimental Design
topic Methodology
Econometrics
url https://arxiv.org/abs/2108.02196