IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/15236.html
   My bibliography  Save this paper

School Entry, Educational Attainment and Quarter of Birth: A Cautionary Tale of LATE

Author

Listed:
  • Rashmi Barua
  • Kevin Lang

Abstract

Partly in response to increased testing and accountability, states and districts have been raising the minimum school entry age, but existing studies show mixed results regarding the effects of entry age. These studies may be severely biased because they violate the monotonicity assumption needed for LATE. We propose an instrument not subject to this bias and show no effect on the educational attainment of children born in the fourth quarter of moving from a December 31 to an earlier cutoff. We then estimate a structural model of optimal entry age that reconciles the different IV estimates including ours. We find that one standard instrument is badly biased but that the other diverges from ours because it estimates a different LATE. We also find that an early entry age cutoff that is applied loosely (as in the 1950s) is beneficial but one that is strictly enforced is not.

Suggested Citation

  • Rashmi Barua & Kevin Lang, 2009. "School Entry, Educational Attainment and Quarter of Birth: A Cautionary Tale of LATE," NBER Working Papers 15236, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:15236
    Note: ED LS
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w15236.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Puhani, Patrick A. & Weber, Andrea M., 2005. "Does the Early Bird Catch the Worm? Instrumental Variable Estimates of Educational Effects of Age of School Entry in Germany," IZA Discussion Papers 1827, Institute of Labor Economics (IZA).
    2. Kasey S. Buckles & Daniel M. Hungerman, 2013. "Season of Birth and Later Outcomes: Old Questions, New Answers," The Review of Economics and Statistics, MIT Press, vol. 95(3), pages 711-724, July.
    3. Patrick A. Puhani & Andrea M. Weber, 2008. "Does the early bird catch the worm?," Studies in Empirical Economics, in: Christian Dustmann & Bernd Fitzenberger & Stephen Machin (ed.), The Economics of Education and Training, pages 105-132, Springer.
    4. Imbens, Guido W & Angrist, Joshua D, 1994. "Identification and Estimation of Local Average Treatment Effects," Econometrica, Econometric Society, vol. 62(2), pages 467-475, March.
    5. James J. Heckman & Sergio Urzua & Edward Vytlacil, 2006. "Understanding Instrumental Variables in Models with Essential Heterogeneity," The Review of Economics and Statistics, MIT Press, vol. 88(3), pages 389-432, August.
    6. Sandra E. Black & Paul J. Devereux & Kjell G. Salvanes, 2011. "Too Young to Leave the Nest? The Effects of School Starting Age," The Review of Economics and Statistics, MIT Press, vol. 93(2), pages 455-467, May.
    7. David Deming & Susan Dynarski, 2008. "The Lengthening of Childhood," Journal of Economic Perspectives, American Economic Association, vol. 22(3), pages 71-92, Summer.
    8. Atsushi Inoue & Gary Solon, 2010. "Two-Sample Instrumental Variables Estimators," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 557-561, August.
    9. Kelly Bedard & Elizabeth Dhuey, 2006. "The Persistence of Early Childhood Maturity: International Evidence of Long-Run Age Effects," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 121(4), pages 1437-1472.
    10. Patrick J. McEwan & Joseph S. Shapiro, 2008. "The Benefits of Delayed Primary School Enrollment: Discontinuity Estimates Using Exact Birth Dates," Journal of Human Resources, University of Wisconsin Press, vol. 43(1).
    11. Fertig, Michael & Kluve, Jochen, 2005. "The Effect of Age at School Entry on Educational Attainment in Germany," RWI Discussion Papers 27, RWI - Leibniz-Institut für Wirtschaftsforschung.
    12. repec:zbw:rwidps:0027 is not listed on IDEAS
    13. Cascio, Elizabeth U., 2004. "Schooling and the AFQT: Evidence from School Entry Laws," Santa Cruz Department of Economics, Working Paper Series qt8zm571cw, Department of Economics, UC Santa Cruz.
    14. Yitzhaki, Shlomo, 1996. "On Using Linear Regressions in Welfare Economics," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(4), pages 478-486, October.
    15. Justin McCrary & Heather Royer, 2011. "The Effect of Female Education on Fertility and Infant Health: Evidence from School Entry Policies Using Exact Date of Birth," American Economic Review, American Economic Association, vol. 101(1), pages 158-195, February.
    16. Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
    17. Dobkin, Carlos & Ferreira, Fernando, 2010. "Do school entry laws affect educational attainment and labor market outcomes?," Economics of Education Review, Elsevier, vol. 29(1), pages 40-54, February.
    18. Moulton, Brent R., 1986. "Random group effects and the precision of regression estimates," Journal of Econometrics, Elsevier, vol. 32(3), pages 385-397, August.
    19. Cascio, Elizabeth U., 2004. "Schooling and the AFQT: Evidence from School Entry Laws," Santa Cruz Department of Economics, Working Paper Series qt8zm571cw, Department of Economics, UC Santa Cruz.
    20. Dhuey, Elizabeth & Lipscomb, Stephen, 2008. "What makes a leader? Relative age and high school leadership," Economics of Education Review, Elsevier, vol. 27(2), pages 173-183, April.
    21. Lang, Kevin, 1993. "Ability Bias, Discount Rate Bias and the Return to Education," MPRA Paper 24651, University Library of Munich, Germany.
    22. Joshua D. Angrist & Alan B. Keueger, 1991. "Does Compulsory School Attendance Affect Schooling and Earnings?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(4), pages 979-1014.
    23. Todd E. Elder & Darren H. Lubotsky, 2009. "Kindergarten Entrance Age and Children’s Achievement: Impacts of State Policies, Family Background, and Peers," Journal of Human Resources, University of Wisconsin Press, vol. 44(3).
    24. Datar, Ashlesha, 2006. "Does delaying kindergarten entrance give children a head start?," Economics of Education Review, Elsevier, vol. 25(1), pages 43-62, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dionissi Aliprantis, 2014. "When Should Children Start School?," Journal of Human Capital, University of Chicago Press, vol. 8(4), pages 481-536.
    2. Chaisemartin, Clément de, 2014. "Tolerating defiance? Local average treatment effects without monotonicity," CAGE Online Working Paper Series 197, Competitive Advantage in the Global Economy (CAGE).
    3. Dionissi Aliprantis, 2012. "Redshirting, Compulsory Schooling Laws, and Educational Attainment," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 316-338, April.
    4. Ben Edwards & Mario Fiorini & Katrien Stevens & Matthew Taylor, 2013. "Is Monotonicity in an IV and RD Design Testable? No, But You Can Still Check on it," Working Paper Series 7, Economics Discipline Group, UTS Business School, University of Technology, Sydney.
    5. Barua, Rashmi, 2014. "Intertemporal substitution in maternal labor supply: Evidence using state school entrance age laws," Labour Economics, Elsevier, vol. 31(C), pages 129-140.
    6. Shao, Ling, 2014. "Estimating the relationship between calculated financial need and actual aid received using quarter of birth instruments," Economics of Education Review, Elsevier, vol. 42(C), pages 165-174.
    7. Toru Kitagawa, 2013. "A bootstrap test for instrument validity in heterogeneous treatment effect models," CeMMAP working papers CWP53/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    8. Klein, Tobias J., 2010. "Heterogeneous treatment effects: Instrumental variables without monotonicity?," Journal of Econometrics, Elsevier, vol. 155(2), pages 99-116, April.
    9. Dionissi Aliprantis, 2013. "Covariates and causal effects: the problem of context," Working Papers (Old Series) 1310, Federal Reserve Bank of Cleveland.
    10. Rashmi Barua & Marian Vidal-Fernandez, 2014. "No Pass No Drive: Education and Allocation of Time," Journal of Human Capital, University of Chicago Press, vol. 8(4), pages 399-431.
    11. Huber Martin & Wüthrich Kaspar, 2019. "Local Average and Quantile Treatment Effects Under Endogeneity: A Review," Journal of Econometric Methods, De Gruyter, vol. 8(1), pages 1-27, January.
    12. Toru Kitagawa, 2013. "A bootstrap test for instrument validity in heterogeneous treatment effect models," CeMMAP working papers 53/13, Institute for Fiscal Studies.
    13. Huber, Martin & Wüthrich, Kaspar, 2017. "Evaluating local average and quantile treatment effects under endogeneity based on instruments: a review," FSES Working Papers 479, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
    14. Clément de Chaisemartin, 2017. "Tolerating defiance? Local average treatment effects without monotonicity," Quantitative Economics, Econometric Society, vol. 8(2), pages 367-396, July.
    15. Rasmus Landersø & Helena Skyt Nielsen & Marianne Simonsen, 2017. "School Starting Age and the Crime‐age Profile," Economic Journal, Royal Economic Society, vol. 127(602), pages 1096-1118, June.
    16. Zhang, Kexin, 2023. "The long-term impact of higher education: Evidence from the Gaokao reinstatement in China," Economics of Education Review, Elsevier, vol. 97(C).
    17. Clément de Chaisemartin & Xavier d'Haultfoeuille, 2012. "Late Again with Defiers," PSE Working Papers halshs-00699646, HAL.
    18. Huber, Martin & Mellace, Giovanni, 2012. "Relaxing monotonicity in the identification of local average treatment effects," Economics Working Paper Series 1212, University of St. Gallen, School of Economics and Political Science.
    19. Attar, Itay & Cohen-Zada, Danny, 2017. "The Effect of School Entrance Age on Educational Outcomes: Evidence Using Multiple Cutoff Dates and Exact Date of Birth," IZA Discussion Papers 10568, Institute of Labor Economics (IZA).
    20. Oscar David Marcenaro Gutierrez & Luis Alejandro Lopez-Agudo, 2016. "Disentangling the effect of students’ maturity on academic achievement," Investigaciones de Economía de la Educación volume 11, in: José Manuel Cordero Ferrera & Rosa Simancas Rodríguez (ed.), Investigaciones de Economía de la Educación 11, edition 1, volume 11, chapter 29, pages 535-550, Asociación de Economía de la Educación.
    21. Patrizia Ordine & Giuseppe Rose & Daniela Sposato, 2014. "Gift Of Time And Family Gift: The Effect Of Early School Entry On Pupils Performance," Working Papers 201408, Università della Calabria, Dipartimento di Economia, Statistica e Finanza "Giovanni Anania" - DESF.
    22. Elliott Fan & Jin-Tan Liu & Yen-Chien Chen, 2014. "Is the 'Quarter of Birth' Endogenous? Evidence From One Million Siblings in Taiwan," NBER Working Papers 20444, National Bureau of Economic Research, Inc.
    23. Fiorini, Mario & Katrien Stevens, 2014. "Assessing the Monotonicity Assumption in IV and fuzzy RD designs," Working Papers 2014-13, University of Sydney, School of Economics.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Dionissi Aliprantis, 2014. "When Should Children Start School?," Journal of Human Capital, University of Chicago Press, vol. 8(4), pages 481-536.
    2. Elizabeth U. Cascio & Diane Whitmore Schanzenbach, 2016. "First in the Class? Age and the Education Production Function," Education Finance and Policy, MIT Press, vol. 11(3), pages 225-250, Summer.
    3. Mario Fiorini & Katrien Stevens, 2021. "Scrutinizing the Monotonicity Assumption in IV and fuzzy RD designs," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(6), pages 1475-1526, December.
    4. Huang, Cheng & Zhang, Shiying & Zhao, Qingguo, 2020. "The early bird catches the worm? School entry cutoff and the timing of births," Journal of Development Economics, Elsevier, vol. 143(C).
    5. Fiorini, Mario & Katrien Stevens, 2014. "Assessing the Monotonicity Assumption in IV and fuzzy RD designs," Working Papers 2014-13, University of Sydney, School of Economics.
    6. Daniel Rakotomalala, 2020. "The effects of age on educational performances at the end of primary school : cross-sectional and regression discontinuity approach applications from Reunion Island," TEPP Working Paper 2020-06, TEPP.
    7. Daniel Rakotomalala, 2021. "The effects of age on educational performances at the end of primary school : cross-sectional and regression discontinuity approach applications from Reunion Island," Working Papers hal-03243392, HAL.
    8. Rashmi Barua & Kevin Lang, 2016. "School Entry, Educational Attainment, and Quarter of Birth: A Cautionary Tale of a Local Average Treatment Effect," Journal of Human Capital, University of Chicago Press, vol. 10(3), pages 347-376.
    9. Goncalo Lima & Luis Catela Nunes & Ana Balcao Reis & Maria do Carmo Seabra, 2022. "No country for young kids? The effects of school starting age throughout childhood and beyond," Nova SBE Working Paper Series wp639, Universidade Nova de Lisboa, Nova School of Business and Economics.
    10. Görlitz, Katja & Penny, Merlin & Tamm, Marcus, 2019. "The long-term effect of age at school entry on competencies in adulthood," Ruhr Economic Papers 792, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    11. Görlitz, Katja & Penny, Merlin & Tamm, Marcus, 2022. "The long-term effect of age at school entry on cognitive competencies in adulthood," Journal of Economic Behavior & Organization, Elsevier, vol. 194(C), pages 91-104.
    12. Hitoshi Shigeoka, 2015. "School Entry Cutoff Date and the Timing of Births," NBER Working Papers 21402, National Bureau of Economic Research, Inc.
    13. Luís Martins & Manuel Coutinho Pereira, 2017. "Disentangling the channels from birthdate to educational attainment," Working Papers w201706, Banco de Portugal, Economics and Research Department.
    14. Magnus Carlsson & Gordon B. Dahl & Björn Öckert & Dan-Olof Rooth, 2015. "The Effect of Schooling on Cognitive Skills," The Review of Economics and Statistics, MIT Press, vol. 97(3), pages 533-547, July.
    15. Chen, Jiaying & Park, Albert, 2021. "School entry age and educational attainment in developing countries: Evidence from China's compulsory education law," Journal of Comparative Economics, Elsevier, vol. 49(3), pages 715-732.
    16. Julio Cáceres-Delpiano & Eugenio Giolito, 2024. "School starting age and the impact on school admission," Empirical Economics, Springer, vol. 67(1), pages 225-251, July.
    17. Youwei Wang & Yuxin Chen & Yi Qian, 2018. "The Causal Link between Relative Age Effect and Entrepreneurship: Evidence from 17 Million Users across 49 Years on Taobao," NBER Working Papers 25318, National Bureau of Economic Research, Inc.
    18. Philip J. Cook & Songman Kang, 2013. "Birthdays, Schooling, and Crime: New Evidence on the Dropout-Crime Nexus," NBER Working Papers 18791, National Bureau of Economic Research, Inc.
    19. Dionissi Aliprantis, 2012. "Redshirting, Compulsory Schooling Laws, and Educational Attainment," Journal of Educational and Behavioral Statistics, , vol. 37(2), pages 316-338, April.
    20. Depew, Briggs & Eren, Ozkan, 2016. "Born on the wrong day? School entry age and juvenile crime," Journal of Urban Economics, Elsevier, vol. 96(C), pages 73-90.

    More about this item

    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • I20 - Health, Education, and Welfare - - Education - - - General
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:15236. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.