Leveraging Lotteries for School Value-Added: Testing and Estimation

Conventional value-added models (VAMs) compare average test scores across schools after regression-adjusting for students' demographic characteristics and previous scores. This article tests for VAM bias using a procedure that asks whether VAM estimates accurately predict the achievement conseq...

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Principais autores: Angrist, Joshua, Hull, Peter Davenport, Pathak, Parag, Walters, Christopher Ross
Outros Autores: Massachusetts Institute of Technology. Department of Economics
Formato: Artigo
Publicado em: Oxford University Press (OUP) 2018
Acesso em linha:http://hdl.handle.net/1721.1/113679
https://orcid.org/0000-0001-6992-8956
https://orcid.org/0000-0003-3910-1573
https://orcid.org/0000-0001-8621-3864
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author Angrist, Joshua
Hull, Peter Davenport
Pathak, Parag
Walters, Christopher Ross
author2 Massachusetts Institute of Technology. Department of Economics
author_facet Massachusetts Institute of Technology. Department of Economics
Angrist, Joshua
Hull, Peter Davenport
Pathak, Parag
Walters, Christopher Ross
author_sort Angrist, Joshua
collection MIT
description Conventional value-added models (VAMs) compare average test scores across schools after regression-adjusting for students' demographic characteristics and previous scores. This article tests for VAM bias using a procedure that asks whether VAM estimates accurately predict the achievement consequences of random assignment to specific schools. Test results from admissions lotteries in Boston suggest conventional VAM estimates are biased, a finding that motivates the development of a hierarchical model describing the joint distribution of school valueadded, bias, and lottery compliance. We use this model to assess the substantive importance of bias in conventional VAM estimates and to construct hybrid valueadded estimates that optimally combine ordinary least squares and lottery-based estimates of VAM parameters. The hybrid estimation strategy provides a general recipe for combining nonexperimental and quasi-experimental estimates. While still biased, hybrid school value-added estimates have lower mean squared error than conventional VAMestimates. Simulations calibrated to the Boston data show that, bias notwithstanding, policy decisions based on conventional VAMs that control for lagged achievement are likely to generate substantial achievement gains. Hybrid estimates that incorporate lotteries yield further gains.
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spelling mit-1721.1/1136792022-09-28T09:17:20Z Leveraging Lotteries for School Value-Added: Testing and Estimation Angrist, Joshua Hull, Peter Davenport Pathak, Parag Walters, Christopher Ross Massachusetts Institute of Technology. Department of Economics Angrist, Joshua Hull, Peter Davenport Pathak, Parag Walters, Christopher Ross Conventional value-added models (VAMs) compare average test scores across schools after regression-adjusting for students' demographic characteristics and previous scores. This article tests for VAM bias using a procedure that asks whether VAM estimates accurately predict the achievement consequences of random assignment to specific schools. Test results from admissions lotteries in Boston suggest conventional VAM estimates are biased, a finding that motivates the development of a hierarchical model describing the joint distribution of school valueadded, bias, and lottery compliance. We use this model to assess the substantive importance of bias in conventional VAM estimates and to construct hybrid valueadded estimates that optimally combine ordinary least squares and lottery-based estimates of VAM parameters. The hybrid estimation strategy provides a general recipe for combining nonexperimental and quasi-experimental estimates. While still biased, hybrid school value-added estimates have lower mean squared error than conventional VAMestimates. Simulations calibrated to the Boston data show that, bias notwithstanding, policy decisions based on conventional VAMs that control for lagged achievement are likely to generate substantial achievement gains. Hybrid estimates that incorporate lotteries yield further gains. 2018-02-15T14:10:36Z 2018-02-15T14:10:36Z 2017-02 2018-02-14T18:44:11Z Article http://purl.org/eprint/type/JournalArticle 0033-5533 1531-4650 http://hdl.handle.net/1721.1/113679 Angrist, Joshua D. et al. “Leveraging Lotteries for School Value-Added: Testing and Estimation.” The Quarterly Journal of Economics 132, 2 (February 1, 2017): 871–919 © 2016 The Author(s) https://orcid.org/0000-0001-6992-8956 https://orcid.org/0000-0003-3910-1573 https://orcid.org/0000-0001-8621-3864 http://dx.doi.org/10.1093/QJE/QJX001 Quarterly Journal of Economics Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Oxford University Press (OUP) NBER
spellingShingle Angrist, Joshua
Hull, Peter Davenport
Pathak, Parag
Walters, Christopher Ross
Leveraging Lotteries for School Value-Added: Testing and Estimation
title Leveraging Lotteries for School Value-Added: Testing and Estimation
title_full Leveraging Lotteries for School Value-Added: Testing and Estimation
title_fullStr Leveraging Lotteries for School Value-Added: Testing and Estimation
title_full_unstemmed Leveraging Lotteries for School Value-Added: Testing and Estimation
title_short Leveraging Lotteries for School Value-Added: Testing and Estimation
title_sort leveraging lotteries for school value added testing and estimation
url http://hdl.handle.net/1721.1/113679
https://orcid.org/0000-0001-6992-8956
https://orcid.org/0000-0003-3910-1573
https://orcid.org/0000-0001-8621-3864
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