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Scientific article
English

Non-parametric adjustment for covariates when estimating a treatment effect

Published inJournal of nonparametric statistics, vol. 18, no. 2, p. 227-244
Publication date2006
Abstract

We consider a non-parametric model for estimating the effect of a binary treatment on an outcome variable while adjusting for an observed covariate. A naive procedure consists in performing two sep- arate non-parametric regression of the response on the covariate: one with the treated individuals and the other with the untreated. The treatment effect is then obtained by taking the difference between the two fitted regression functions. This paper proposes a backfit- ting algorithm which uses all the data for the two above-mentioned non-parametric regression. We give finite sample theoretical results showing that the resulting estimator of the treatment effect can have lower variance. This improvement is not necessarily achieved at the cost of a larger bias. In all the performed simulations, we observe that mean squared error is substantially lower for the proposed backfitting estimator. When more than one covariate is observed our backfitting estimator can still be applied by using the propensity score (probabil- ity of being treated for a given setup of the covariates). We illustrate the use of the backfitting estimator in a several covariate situation with data on a training program for individuals having faced social and economic problems.

Citation (ISO format)
CANTONI, Eva, DE LUNA, Xavier. Non-parametric adjustment for covariates when estimating a treatment effect. In: Journal of nonparametric statistics, 2006, vol. 18, n° 2, p. 227–244. doi: 10.1080/10485250600720779
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accessLevelPrivate
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ISSN of the journal1026-7654
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