Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects

Following Efron (2014), we propose an algorithm for estimating treatment effects for use by researchers employing a regression-discontinuity (RD) design. This algorithm generates a set of estimates of the treatment effect from bootstrapped samples, wherein the polynomial-selection algorithm develope...

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Main Authors: Long Mark C., Rooklyn Jordan
Format: Article
Language:English
Published: De Gruyter 2024-02-01
Series:Journal of Causal Inference
Subjects:
Online Access:https://doi.org/10.1515/jci-2022-0028
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author Long Mark C.
Rooklyn Jordan
author_facet Long Mark C.
Rooklyn Jordan
author_sort Long Mark C.
collection DOAJ
description Following Efron (2014), we propose an algorithm for estimating treatment effects for use by researchers employing a regression-discontinuity (RD) design. This algorithm generates a set of estimates of the treatment effect from bootstrapped samples, wherein the polynomial-selection algorithm developed by Pei, Lee, Card, and Weber (2011) is applied to each sample, the average of these RD treatment effect (RDTE) estimates is computed and serves as the overall estimate of the RDTE. Effectively, this procedure estimates a set of plausible RD estimates and weights the estimates by their likelihood of being the best estimate to form a weighted-average estimate. We discuss why this procedure may lower the estimate’s root mean squared error (RMSE). In simulation results, we show that this better performance is achieved, yielding up to a 5% reduction in RMSE relative to PLCW’s method and a 16% reduction in RMSE relative to Calonico, Cattaneo, and Titiunik’s (2014) method for bandwidth selection (with default settings).
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spelling doaj.art-603e83f7914144ed99359c0deda9f9822024-03-04T07:29:03ZengDe GruyterJournal of Causal Inference2193-36852024-02-01121991100710.1515/jci-2022-0028Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effectsLong Mark C.0Rooklyn Jordan1School of Public Policy, University of California, Riverside, USACascade Analysis, Ashland, Oregon, USAFollowing Efron (2014), we propose an algorithm for estimating treatment effects for use by researchers employing a regression-discontinuity (RD) design. This algorithm generates a set of estimates of the treatment effect from bootstrapped samples, wherein the polynomial-selection algorithm developed by Pei, Lee, Card, and Weber (2011) is applied to each sample, the average of these RD treatment effect (RDTE) estimates is computed and serves as the overall estimate of the RDTE. Effectively, this procedure estimates a set of plausible RD estimates and weights the estimates by their likelihood of being the best estimate to form a weighted-average estimate. We discuss why this procedure may lower the estimate’s root mean squared error (RMSE). In simulation results, we show that this better performance is achieved, yielding up to a 5% reduction in RMSE relative to PLCW’s method and a 16% reduction in RMSE relative to Calonico, Cattaneo, and Titiunik’s (2014) method for bandwidth selection (with default settings).https://doi.org/10.1515/jci-2022-0028data-driven algorithmregression discontinuitybootstrap62j0562f4062j20
spellingShingle Long Mark C.
Rooklyn Jordan
Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects
Journal of Causal Inference
data-driven algorithm
regression discontinuity
bootstrap
62j05
62f40
62j20
title Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects
title_full Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects
title_fullStr Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects
title_full_unstemmed Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects
title_short Regression(s) discontinuity: Using bootstrap aggregation to yield estimates of RD treatment effects
title_sort regression s discontinuity using bootstrap aggregation to yield estimates of rd treatment effects
topic data-driven algorithm
regression discontinuity
bootstrap
62j05
62f40
62j20
url https://doi.org/10.1515/jci-2022-0028
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AT rooklynjordan regressionsdiscontinuityusingbootstrapaggregationtoyieldestimatesofrdtreatmenteffects