IDEAS home Printed from https://ideas.repec.org/a/wly/quante/v7y2016i3p781-820.html
   My bibliography  Save this article

Grade retention and unobserved heterogeneity

Author

Listed:
  • Robert J. Gary‐Bobo
  • Marion Goussé
  • Jean‐Marc Robin

Abstract

We study the treatment effect of grade retention using a panel of French junior high‐school students, taking unobserved heterogeneity and the endogeneity of grade repetitions into account. We specify a multistage model of human‐capital accumulation with a finite number of types representing unobserved individual characteristics. Class‐size and latent student‐performance indices are assumed to follow finite mixtures of normal distributions. Grade retention may increase or decrease the student's knowledge capital in a type‐dependent way. Our estimation results show that the average treatment effect on the treated (ATT) of grade retention on test scores is positive but small at the end of grade 9. Treatment effects are heterogeneous: we find that the ATT of grade retention is higher for the weakest students. We also show that class size is endogenous and tends to increase with unobserved student ability. The average treatment effect of grade retention is negative, again with the exception of the weakest group of students. Grade repetitions reduce the probability of access to grade 9 of all student types.

Suggested Citation

  • Robert J. Gary‐Bobo & Marion Goussé & Jean‐Marc Robin, 2016. "Grade retention and unobserved heterogeneity," Quantitative Economics, Econometric Society, vol. 7(3), pages 781-820, November.
    • Handle: RePEc:wly:quante:v:7:y:2016:i:3:p:781-820
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Dong, Yingying, 2010. "Kept back to get ahead? Kindergarten retention and academic performance," European Economic Review, Elsevier, vol. 54(2), pages 219-236, February.
    2. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the Equalizing Force of Mobility Using Short Panels: France, 1990-2000," SciencePo Working papers Main hal-01027423, HAL.
    3. James J. Heckman, 2010. "Building Bridges between Structural and Program Evaluation Approaches to Evaluating Policy," Journal of Economic Literature, American Economic Association, vol. 48(2), pages 356-398, June.
    4. repec:hal:spmain:info:hdl:2441/eu4vqp9ompqllr09j008g6g0g is not listed on IDEAS
    5. James Heckman & Flavio Cunha, 2007. "The Technology of Skill Formation," American Economic Review, American Economic Association, vol. 97(2), pages 31-47, May.
    6. Peter Arcidiacono & John Bailey Jones, 2003. "Finite Mixture Distributions, Sequential Likelihood and the EM Algorithm," Econometrica, Econometric Society, vol. 71(3), pages 933-946, May.
    7. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College," NBER Working Papers 9546, National Bureau of Economic Research, Inc.
    8. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, May.
    9. Jane Cooley Fruehwirth & Salvador Navarro & Yuya Takahashi, 2016. "How the Timing of Grade Retention Affects Outcomes: Identification and Estimation of Time-Varying Treatment Effects," Journal of Labor Economics, University of Chicago Press, vol. 34(4), pages 979-1021.
    10. Carneiro, Pedro & Hansen, Karsten T. & Heckman, James J., 2003. "Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," IZA Discussion Papers 767, Institute of Labor Economics (IZA).
    11. Brian A. Jacob & Lars Lefgren, 2004. "Remedial Education and Student Achievement: A Regression-Discontinuity Analysis," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 226-244, February.
    12. Caroline M. Hoxby, 2000. "The Effects of Class Size on Student Achievement: New Evidence from Population Variation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(4), pages 1239-1285.
    13. Robert J. Gary-Bobo & Mohamed-Badrane Mahjoub, 2013. "Estimation of Class-Size Effects, Using "Maimonides' Rule" and Other Instruments: the Case of French Junior High Schools," Annals of Economics and Statistics, GENES, issue 111-112, pages 193-225.
    14. Flavio Cunha & James J. Heckman, 2008. "Formulating, Identifying and Estimating the Technology of Cognitive and Noncognitive Skill Formation," Journal of Human Resources, University of Wisconsin Press, vol. 43(4).
    15. Thomas Piketty & Mathieu Valdenaire, 2006. "L'impact de la taille des classes sur la réussite scolaire dans les écoles, collèges et lycées français - Estimations à partir du panel primaire 1997 et du panel secondaire 1995," Post-Print halshs-00754847, HAL.
    16. Pedro Carneiro & Karsten T. Hansen & James J. Heckman, 2003. "2001 Lawrence R. Klein Lecture Estimating Distributions of Treatment Effects with an Application to the Returns to Schooling and Measurement of the Effects of Uncertainty on College Choice," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 361-422, May.
    17. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the Equalizing Force of Mobility Using Short Panels: France, 1990-2000," SciencePo Working papers hal-01027423, HAL.
    18. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the Equalizing Force of Mobility Using Short Panels: France, 1990-2000," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(1), pages 63-92.
    19. Flavio Cunha & James J. Heckman & Susanne M. Schennach, 2010. "Estimating the Technology of Cognitive and Noncognitive Skill Formation," Econometrica, Econometric Society, vol. 78(3), pages 883-931, May.
    20. Eide, Eric R. & Showalter, Mark H., 2001. "The effect of grade retention on educational and labor market outcomes," Economics of Education Review, Elsevier, vol. 20(6), pages 563-576, December.
    21. repec:adr:anecst:y:2013:i:111-112:p:8 is not listed on IDEAS
    22. 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.
    23. Elodie Alet & Liliane Bonnal & Pascal Favard, 2013. "Repetition: Medicine for a Short-run Remission," Annals of Economics and Statistics, GENES, issue 111-112, pages 227-250.
    24. Derek Neal & Diane Whitmore Schanzenbach, 2010. "Left Behind by Design: Proficiency Counts and Test-Based Accountability," The Review of Economics and Statistics, MIT Press, vol. 92(2), pages 263-283, May.
    25. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the equalizing force of mobility using short panels: France, 1990-2000," Post-Print hal-00308801, HAL.
    26. 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.
    27. Gianni De Fraja & Tania Oliveira & Luisa Zanchi, 2010. "Must Try Harder: Evaluating the Role of Effort in Educational Attainment," The Review of Economics and Statistics, MIT Press, vol. 92(3), pages 577-597, August.
    28. Stéphane Bonhomme & Jean-Marc Robin, 2009. "Assessing the equalizing force of mobility using short panels: France, 1990-2000," PSE-Ecole d'économie de Paris (Postprint) hal-00308801, HAL.
    29. Robert J. Gary‐bobo & Badrane Mohamed Mahjoub, 2013. "Estimation of Class-Size Effects, Using "Maimonides' Rule" and Other Instruments: The Case of French Junior High Schools," Post-Print hal-03565399, HAL.
    30. Gomes-Neto, Joao Batista & Hanushek, Eric A, 1994. "Causes and Consequences of Grade Repetition: Evidence from Brazil," Economic Development and Cultural Change, University of Chicago Press, vol. 43(1), pages 117-148, October.
    31. Joshua D. Angrist & Victor Lavy, 1999. "Using Maimonides' Rule to Estimate the Effect of Class Size on Scholastic Achievement," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(2), pages 533-575.
    32. repec:adr:anecst:y:2013:i:111-112:p:9 is not listed on IDEAS
    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. Oliver Cassagneau-Francis, 2022. "Revisiting the Returns to Higher Education: Heterogeneity by Cognitive and Non-Cognitive Abilities," Working Papers hal-04067399, HAL.
    2. Javier Valbuena & Mauro Mediavilla & Álvaro Choi & María Gil, 2021. "Effects Of Grade Retention Policies: A Literature Review Of Empirical Studies Applying Causal Inference," Journal of Economic Surveys, Wiley Blackwell, vol. 35(2), pages 408-451, April.
    3. Hugo Reis & Emilio Borghesan, 2022. "Learning Through Repetition? A Dynamic Evaluation of Grade Retention in Portugal," Working Papers w202220, Banco de Portugal, Economics and Research Department.
    4. Jane Cooley Fruehwirth & Salvador Navarro & Yuya Takahashi, 2016. "How the Timing of Grade Retention Affects Outcomes: Identification and Estimation of Time-Varying Treatment Effects," Journal of Labor Economics, University of Chicago Press, vol. 34(4), pages 979-1021.
    5. Asma Benhenda, 2018. "What is the cost of grade retention?," DoQSS Working Papers 18-07, Quantitative Social Science - UCL Social Research Institute, University College London.
    6. Bach, Maximilian, 2019. "Strategic grade retention," ZEW Discussion Papers 19-059, ZEW - Leibniz Centre for European Economic Research.
    7. Zhang, Shiying & Huang, Ao, 2022. "The long-term effects of automatic grade promotion on child development," China Economic Review, Elsevier, vol. 74(C).
    8. Carmen Aina & Francesco Pastore, 2020. "Delayed Graduation and Overeducation in Italy: A Test of the Human Capital Model Versus the Screening Hypothesis," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 152(2), pages 533-553, November.
    9. Oliver Cassagneau-Francis, 2022. "Revisiting the Returns to Higher Education: Heterogeneity by Cognitive and Non-Cognitive Abilities," SciencePo Working papers Main hal-04067399, HAL.
    10. Hugo Reis & Manuel Coutinho Pereira, 2014. "Grade retention during basic education in Portugal: determinants and impact on student achievement," Economic Bulletin and Financial Stability Report Articles and Banco de Portugal Economic Studies, Banco de Portugal, Economics and Research Department.

    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. repec:hal:spmain:info:hdl:2441/4po7er2pp49baoh37bjdkluouu is not listed on IDEAS
    2. repec:hal:spmain:info:hdl:2441/6tve7u8o9k9dv8fanl7utalotr is not listed on IDEAS
    3. Marion Goussé, 2014. "Marriage market and intra-household allocation : essays in economics of family and education [Formation des couples et allocation des ressources au sein des ménages : essais en économie de la famil," SciencePo Working papers Main tel-03516515, HAL.
    4. Marion Gousse, 2014. "Marriage Market and Intra-Household Allocation. Essays in Economics of Family and Education," Sciences Po publications info:hdl:2441/6tve7u8o9k9, Sciences Po.
    5. Javier Valbuena & Mauro Mediavilla & Álvaro Choi & María Gil, 2021. "Effects Of Grade Retention Policies: A Literature Review Of Empirical Studies Applying Causal Inference," Journal of Economic Surveys, Wiley Blackwell, vol. 35(2), pages 408-451, April.
    6. Hugo Reis & Emilio Borghesan, 2022. "Learning Through Repetition? A Dynamic Evaluation of Grade Retention in Portugal," Working Papers w202220, Banco de Portugal, Economics and Research Department.
    7. Sebastian Galiani & Juan Pantano, 2021. "Structural Models: Inception and Frontier," NBER Working Papers 28698, National Bureau of Economic Research, Inc.
    8. Mohamed-Badrane Mahjoub, 2017. "The treatment effect of grade repetitions," Education Economics, Taylor & Francis Journals, vol. 25(4), pages 418-432, July.
    9. Ron Diris, 2017. "Don't Hold Back? The Effect of Grade Retention on Student Achievement," Education Finance and Policy, MIT Press, vol. 12(3), pages 312-341, Summer.
    10. Manuel Arellano & Stéphane Bonhomme, 2017. "Quantile Selection Models With an Application to Understanding Changes in Wage Inequality," Econometrica, Econometric Society, vol. 85, pages 1-28, January.
    11. Bernal, Pedro & Mittag, Nikolas & Qureshi, Javaeria A., 2016. "Estimating effects of school quality using multiple proxies," Labour Economics, Elsevier, vol. 39(C), pages 1-10.
    12. Heckman, James J. & Humphries, John Eric & Veramendi, Gregory, 2016. "Dynamic treatment effects," Journal of Econometrics, Elsevier, vol. 191(2), pages 276-292.
    13. James J. Heckman, 2008. "The Principles Underlying Evaluation Estimators with an Application to Matching," Annals of Economics and Statistics, GENES, issue 91-92, pages 9-73.
    14. Veramendi, Gregory & Urzúa, Sergio, 2011. "The Impact of Out-of-Home Childcare Centers on Early Childhood Development," IDB Publications (Working Papers) 3065, Inter-American Development Bank.
    15. Heckman, James J., 2010. "The Assumptions Underlying Evaluation Estimators," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 30(2), December.
    16. Francesco Agostinelli & Matthew Wiswall, 2016. "Identification of Dynamic Latent Factor Models: The Implications of Re-Normalization in a Model of Child Development," NBER Working Papers 22441, National Bureau of Economic Research, Inc.
    17. Emma Tominey, 2010. "The Timing of Parental Income and Child Outcomes: The Role of Permanent and Transitory Shocks," CEE Discussion Papers 0120, Centre for the Economics of Education, LSE.
    18. Thiel, Hendrik & Thomsen, Stephan L., 2013. "Noncognitive skills in economics: Models, measurement, and empirical evidence," Research in Economics, Elsevier, vol. 67(2), pages 189-214.
    19. Manuel Arellano & Stéphane Bonhomme, 2016. "Nonlinear panel data estimation via quantile regressions," Econometrics Journal, Royal Economic Society, vol. 19(3), pages 61-94, October.
    20. Magnac, Thierry & Pistolesi, Nicolas & Roux, Sébastien, 2013. "Post schooling human capital investments and the life cycle variance of earnings," TSE Working Papers 13-380, Toulouse School of Economics (TSE).
    21. Emma Tominey, 2010. "The Timing of Parental Income and Child Outcomes: The Role of Permanent and Transitory Shocks," Discussion Papers 10/21, Department of Economics, University of York.
    22. Philipp Eisenhauer & James J. Heckman & Edward Vytlacil, 2015. "The Generalized Roy Model and the Cost-Benefit Analysis of Social Programs," Journal of Political Economy, University of Chicago Press, vol. 123(2), pages 413-443.

    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation
    • C38 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Classification Methdos; Cluster Analysis; Principal Components; Factor Analysis
    • I2 - Health, Education, and Welfare - - Education

    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:wly:quante:v:7:y:2016:i:3:p:781-820. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.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.