Ferman, Bruno (2017): Matching Estimators with Few Treated and Many Control Observations.
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Abstract
We analyze the properties of matching estimators when there are few treated, but many control observations. We show that, under standard assumptions, the nearest neighbor matching estimator for the average treatment effect on the treated is asymptotically unbiased in this framework. However, when the number of treated observations is fixed, the estimator is not consistent, and it is generally not asymptotically normal. Since standard inferential techniques are inadequate in this setting, we propose alternative inferential procedures based on the theory of randomization tests under approximate symmetry.
Item Type: | MPRA Paper |
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Original Title: | Matching Estimators with Few Treated and Many Control Observations |
Language: | English |
Keywords: | matching estimator, treatment effect, hypothesis testing, randomization inference |
Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C12 - Hypothesis Testing: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General C - Mathematical and Quantitative Methods > C2 - Single Equation Models ; Single Variables > C21 - Cross-Sectional Models ; Spatial Models ; Treatment Effect Models ; Quantile Regressions |
Item ID: | 89212 |
Depositing User: | Bruno Ferman |
Date Deposited: | 27 Sep 2018 18:58 |
Last Modified: | 03 Oct 2019 17:27 |
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URI: | https://mpra.ub.uni-muenchen.de/id/eprint/89212 |
Available Versions of this Item
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Matching Estimators with Few Treated and Many Control Observations. (deposited 05 May 2017 14:38)
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Matching Estimators with Few Treated and Many Control Observations. (deposited 04 Jun 2017 11:18)
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Matching Estimators with Few Treated and Many Control Observations. (deposited 08 Mar 2018 14:25)
- Matching Estimators with Few Treated and Many Control Observations. (deposited 27 Sep 2018 18:58) [Currently Displayed]
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Matching Estimators with Few Treated and Many Control Observations. (deposited 08 Mar 2018 14:25)
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Matching Estimators with Few Treated and Many Control Observations. (deposited 04 Jun 2017 11:18)