Outliers in semi-parametric Estimation of Treatment Effects

Average treatment effects estimands can present significant bias under the presence of outliers. Moreover, outliers can be particularly hard to detect, creating bias and inconsistency in the semi-parametric ATE estimads. In this paper, we use Monte Carlo simulations to demonstrate that semi-parametr...

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Autores:
Ugarte Ontiveros, Darwin
Canavire-Bacarreza, Gustavo
Castro Peñarrieta, Luis
Tipo de recurso:
Fecha de publicación:
2017
Institución:
Universidad EAFIT
Repositorio:
Repositorio EAFIT
Idioma:
spa
OAI Identifier:
oai:repository.eafit.edu.co:10784/11750
Acceso en línea:
http://hdl.handle.net/10784/11750
Palabra clave:
Treatment effects
Outliers
Propensity score
Mahalanobis distance
efectos del tratamiento
valores atípicos
puntaje de propensión
distancia Mahalanobis
Rights
License
Acceso abierto
Description
Summary:Average treatment effects estimands can present significant bias under the presence of outliers. Moreover, outliers can be particularly hard to detect, creating bias and inconsistency in the semi-parametric ATE estimads. In this paper, we use Monte Carlo simulations to demonstrate that semi-parametric methods, such as matching, are biased in the presence of outliers. Bad and good leverage points outliers are considered. The bias arises because bad leverage points completely change the distribution of the metrics used to define counterfactuals. Whereas good leverage points increase the chance of breaking the common support condition and distort the balance of the covariates and which may push practitioners to misspecify the propensity score. We provide some clues to diagnose the presence of outliers and propose a reweighting estimator that is robust against outliers based on the Stahel-Donoho multivariate estimator of scale and location. An application of this estimator to LaLonde (1986) data allows us to explain the Dehejia and Wahba (2002) and Smith and Todd (2005) debate on the inability of matching estimators to deal with the evaluation problem.