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(Non)Randomization: A Theory of Quasi-Experimental Evaluation of School Quality

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Abstract

In centralized school admissions systems, rationing at oversubscribed schools often uses lotteries in addition to preferences. This partly random assignment is used by empirical researchers to identify the effect of entering a school on outcomes like test scores. This paper formally studies if the two most popular empirical research designs successfully extract a random assignment. For a class of data-generating mechanisms containing those used in practice, I show: One research design extracts a random assignment under a mechanism if and almost only if the mechanism is strategy-proof for schools. In contrast, the other research design does not necessarily extract a random assignment under any mechanism.

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  • Yusuki Narita, 2016. "(Non)Randomization: A Theory of Quasi-Experimental Evaluation of School Quality," Cowles Foundation Discussion Papers 2056, Cowles Foundation for Research in Economics, Yale University.
  • Handle: RePEc:cwl:cwldpp:2056
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    1. Adrienne M. Lucas & Isaac M. Mbiti, 2014. "Effects of School Quality on Student Achievement: Discontinuity Evidence from Kenya," American Economic Journal: Applied Economics, American Economic Association, vol. 6(3), pages 234-263, July.
    2. Atila Abdulkadiroglu & Tayfun Sönmez, 2003. "School Choice: A Mechanism Design Approach," American Economic Review, American Economic Association, vol. 93(3), pages 729-747, June.
    3. Joshua D. Angrist & Peter D. Hull & Parag A. Pathak & Christopher R. Walters, 2017. "Leveraging Lotteries for School Value-Added: Testing and Estimation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(2), pages 871-919.
    4. repec:oup:restud:v:84:y::i:1:p:444-463. is not listed on IDEAS
    5. Ergin, Haluk & Sonmez, Tayfun, 2006. "Games of school choice under the Boston mechanism," Journal of Public Economics, Elsevier, vol. 90(1-2), pages 215-237, January.
    6. Beuermann, Diether & Jackson, C. Kirabo & Sierra, Ricardo, 2015. "Privately Managed Public Secondary Schools and Academic Achievement in Trinidad and Tobago: Evidence from Rule-Based Student Assignments," IDB Publications (Working Papers) 7308, Inter-American Development Bank.
    7. Lars Kirkebøen & Edwin Leuven & Magne Mogstad, 2014. "Field of Study, Earnings, and Self-Selection," NBER Working Papers 20816, National Bureau of Economic Research, Inc.
    8. Atila Abdulkadiroğlu & Joshua D. Angrist & Yusuke Narita & Parag A. Pathak, 2017. "Research Design Meets Market Design: Using Centralized Assignment for Impact Evaluation," Econometrica, Econometric Society, vol. 85, pages 1373-1432, September.
    9. Howard S. Bloom & Rebecca Unterman, 2014. "Can Small High Schools of Choice Improve Educational Prospects for Disadvantaged Students?," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 33(2), pages 290-319, March.
    10. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    11. Hatfield, John William & Kojima, Fuhito & Narita, Yusuke, 2016. "Improving schools through school choice: A market design approach," Journal of Economic Theory, Elsevier, vol. 166(C), pages 186-211.
    12. Cristian Pop-Eleches & Miguel Urquiola, 2013. "Going to a Better School: Effects and Behavioral Responses," American Economic Review, American Economic Association, vol. 103(4), pages 1289-1324, June.
    13. Fort, Margherita & Zanella, Giulio, 2019. "Cognitive and non-cognitive costs of daycare 0–2 for children in advantaged families," CEPR Discussion Papers 11120, C.E.P.R. Discussion Papers.
    14. Diether Beuermann & C. Kirabo Jackson & Ricardo Sierra, 2015. "Privately Managed Public Secondary Schools and Academic Achievement in Trinidad and Tobago: Evidence from Rule-Based Student Assignments," IDB Publications (Working Papers) 91836, Inter-American Development Bank.
    15. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
    16. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    17. Justine S. Hastings & Christopher A. Neilson & Seth D. Zimmerman, 2012. "The Effect of School Choice on Intrinsic Motivation and Academic Outcomes," NBER Working Papers 18324, National Bureau of Economic Research, Inc.
    18. Nikhil Agarwal & Paulo Somaini, 2018. "Demand Analysis Using Strategic Reports: An Application to a School Choice Mechanism," Econometrica, Econometric Society, vol. 86(2), pages 391-444, March.
    19. Atila Abdulkadiroğlu & Joshua Angrist & Parag Pathak, 2014. "The Elite Illusion: Achievement Effects at Boston and New York Exam Schools," Econometrica, Econometric Society, vol. 82(1), pages 137-196, January.
    20. Roth, Alvin E & Sotomayor, Marilda, 1989. "The College Admissions Problem Revisited," Econometrica, Econometric Society, vol. 57(3), pages 559-570, May.
    21. Peter Leopold S. Bergman, 2016. "The Effects of School Integration: Evidence from a Randomized Desegregation Program," CESifo Working Paper Series 6119, CESifo.
    22. C. Kirabo Jackson, 2010. "Do Students Benefit from Attending Better Schools? Evidence from Rule-based Student Assignments in Trinidad and Tobago," Economic Journal, Royal Economic Society, vol. 120(549), pages 1399-1429, December.
    23. Fuhito Kojima & Parag A. Pathak, 2009. "Incentives and Stability in Large Two-Sided Matching Markets," American Economic Review, American Economic Association, vol. 99(3), pages 608-627, June.
    24. Elliott Peranson & Alvin E. Roth, 1999. "The Redesign of the Matching Market for American Physicians: Some Engineering Aspects of Economic Design," American Economic Review, American Economic Association, vol. 89(4), pages 748-780, September.
    25. Alexander Shapiro & Jos Berge, 2002. "Statistical inference of minimum rank factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 67(1), pages 79-94, March.
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    Cited by:

    1. Yusuke Narita, 2018. "Experiment-as-Market: Incorporating Welfare into Randomized Controlled Trials," Cowles Foundation Discussion Papers 2127r, Cowles Foundation for Research in Economics, Yale University, revised May 2019.

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    Keywords

    Matching Market Design; Natural Experiment; Program Evaluation; Random Assignment; Quasi-Experimental Research Design; School Eectiveness;
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