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Marginal College Wage Premiums Under Selection Into Employment

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  • Matthias Westphal
  • Daniel A Kamhöfer
  • Hendrik Schmitz

Abstract

We identify female long-term wage returns to college education using the educational expansion between 1960–90 in West Germany as exogenous variation for college enrolment. We estimate marginal treatment effects and propose a simple partial identification technique accounting for women selecting into employment due to having a college education. College-educated women are, on average, more than 18 percentage points more likely to be employed due to having a college education than those without college education. Taking this into account, we bound wage returns to 5.7%–13.9% per year of education completed (average treatment effects on the treated).

Suggested Citation

  • Matthias Westphal & Daniel A Kamhöfer & Hendrik Schmitz, 2022. "Marginal College Wage Premiums Under Selection Into Employment," The Economic Journal, Royal Economic Society, vol. 132(646), pages 2231-2272.
    • Handle: RePEc:oup:econjl:v:132:y:2022:i:646:p:2231-2272.
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    1. Joshua D. Angrist & Alan B. Krueger, 1991. "Estimating the Payoff to Schooling Using the Vietnam-era Draft Lottery," Working Papers 670, Princeton University, Department of Economics, Industrial Relations Section..
    2. Richard Blundell & Monica Costa Dias & Costas Meghir & Jonathan Shaw, 2016. "Female Labor Supply, Human Capital, and Welfare Reform," Econometrica, Econometric Society, vol. 84, pages 1705-1753, September.
    3. Claudia Goldin & Lawrence F. Katz & Ilyana Kuziemko, 2006. "The Homecoming of American College Women: The Reversal of the College Gender Gap," Journal of Economic Perspectives, American Economic Association, vol. 20(4), pages 133-156, Fall.
    4. James J. Heckman & Vytlacil, Edward J., 2007. "Econometric Evaluation of Social Programs, Part II: Using the Marginal Treatment Effect to Organize Alternative Econometric Estimators to Evaluate Social Programs, and to Forecast their Effects in New," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 71, Elsevier.
    5. Jörn-Steffen Pischke & Till von Wachter, 2008. "Zero Returns to Compulsory Schooling in Germany: Evidence and Interpretation," The Review of Economics and Statistics, MIT Press, vol. 90(3), pages 592-598, August.
    6. 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.
    7. Zvi Eckstein & Osnat Lifshitz, 2011. "Dynamic Female Labor Supply," Econometrica, Econometric Society, vol. 79(6), pages 1675-1726, November.
    8. Thomas Cornelissen & Christian Dustmann & Anna Raute & Uta Schönberg, 2018. "Who Benefits from Universal Child Care? Estimating Marginal Returns to Early Child Care Attendance," Journal of Political Economy, University of Chicago Press, vol. 126(6), pages 2356-2409.
    9. Cornelissen, Thomas & Dustmann, Christian & Raute, Anna & Schönberg, Uta, 2016. "From LATE to MTE: Alternative methods for the evaluation of policy interventions," Labour Economics, Elsevier, vol. 41(C), pages 47-60.
    10. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
    11. James J. Heckman & Edward Vytlacil, 2005. "Structural Equations, Treatment Effects, and Econometric Policy Evaluation," Econometrica, Econometric Society, vol. 73(3), pages 669-738, May.
    12. Richard Blundell & Amanda Gosling & Hidehiko Ichimura & Costas Meghir, 2007. "Changes in the Distribution of Male and Female Wages Accounting for Employment Composition Using Bounds," Econometrica, Econometric Society, vol. 75(2), pages 323-363, March.
    13. Francine D. Blau & Lawrence M. Kahn, 2017. "The Gender Wage Gap: Extent, Trends, and Explanations," Journal of Economic Literature, American Economic Association, vol. 55(3), pages 789-865, September.
    14. Blundell, Richard & Macurdy, Thomas, 1999. "Labor supply: A review of alternative approaches," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 27, pages 1559-1695, Elsevier.
    15. Moretti, Enrico, 2004. "Estimating the social return to higher education: evidence from longitudinal and repeated cross-sectional data," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 175-212.
    16. Guido W. Imbens & Charles F. Manski, 2004. "Confidence Intervals for Partially Identified Parameters," Econometrica, Econometric Society, vol. 72(6), pages 1845-1857, November.
    17. J.J. Heckman & E.E. Leamer (ed.), 2007. "Handbook of Econometrics," Handbook of Econometrics, Elsevier, edition 1, volume 6, number 6b.
    18. Christian N. Brinch & Magne Mogstad & Matthew Wiswall, 2017. "Beyond LATE with a Discrete Instrument," Journal of Political Economy, University of Chicago Press, vol. 125(4), pages 985-1039.
    19. Melvin Stephens Jr. & Dou-Yan Yang, 2014. "Compulsory Education and the Benefits of Schooling," American Economic Review, American Economic Association, vol. 104(6), pages 1777-1792, June.
    20. Pedro Carneiro & James J. Heckman & Edward J. Vytlacil, 2011. "Estimating Marginal Returns to Education," American Economic Review, American Economic Association, vol. 101(6), pages 2754-2781, October.
    21. Jörg Schwiebert, 2015. "Estimation and interpretation of a Heckman selection model with endogenous covariates," Empirical Economics, Springer, vol. 49(2), pages 675-703, September.
    22. Jürges, Hendrik & Reinhold, Steffen & Salm, Martin, 2011. "Does schooling affect health behavior? Evidence from the educational expansion in Western Germany," Economics of Education Review, Elsevier, vol. 30(5), pages 862-872, October.
    23. Nicola Bianchi, 2015. "The General Effects of Educational Expansion," Discussion Papers 15-008, Stanford Institute for Economic Policy Research.
    24. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    25. Daniel A Kamhöfer & Hendrik Schmitz & Matthias Westphal, 2019. "Heterogeneity in Marginal Non-Monetary Returns to Higher Education," Journal of the European Economic Association, European Economic Association, vol. 17(1), pages 205-244.
    26. Angrist, Joshua D & Krueger, Alan B, 1995. "Split-Sample Instrumental Variables Estimates of the Return to Schooling," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(2), pages 225-235, April.
    27. Daniel A. Kamhöfer & Hendrik Schmitz, 2016. "Reanalyzing Zero Returns to Education in Germany," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 31(5), pages 912-919, August.
    28. Janet Currie & Enrico Moretti, 2003. "Mother's Education and the Intergenerational Transmission of Human Capital: Evidence from College Openings," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(4), pages 1495-1532.
    29. Fernández-Val, Ivan & van Vuuren, Aico & Vella, Francis, 2024. "Nonseparable sample selection models with censored selection rules," Journal of Econometrics, Elsevier, vol. 240(2).
    30. Manudeep Bhuller & Magne Mogstad & Kjell G. Salvanes, 2017. "Life-Cycle Earnings, Education Premiums, and Internal Rates of Return," Journal of Labor Economics, University of Chicago Press, vol. 35(4), pages 993-1030.
    31. Zvi Eckstein & Kenneth I. Wolpin, 1989. "Dynamic Labour Force Participation of Married Women and Endogenous Work Experience," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(3), pages 375-390.
    32. A. Belloni & D. Chen & V. Chernozhukov & C. Hansen, 2012. "Sparse Models and Methods for Optimal Instruments With an Application to Eminent Domain," Econometrica, Econometric Society, vol. 80(6), pages 2369-2429, November.
    33. Eric French & Jae Song, 2014. "The Effect of Disability Insurance Receipt on Labor Supply," American Economic Journal: Economic Policy, American Economic Association, vol. 6(2), pages 291-337, May.
    34. Magne Mogstad & Andres Santos & Alexander Torgovitsky, 2018. "Using Instrumental Variables for Inference About Policy Relevant Treatment Parameters," Econometrica, Econometric Society, vol. 86(5), pages 1589-1619, September.
    35. Gronau, Reuben, 1974. "Wage Comparisons-A Selectivity Bias," Journal of Political Economy, University of Chicago Press, vol. 82(6), pages 1119-1143, Nov.-Dec..
    36. 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.
    37. Yingying DONG & Ying-Ying LEE & Michael GOU, 2019. "Regression Discontinuity Designs with a Continuous Treatment," Discussion papers 19058, Research Institute of Economy, Trade and Industry (RIETI).
    38. Riphahn & Caroline Schwientek, 2015. "What drives the reversal of the gender education gap? Evidence from Germany," Applied Economics, Taylor & Francis Journals, vol. 47(53), pages 5748-5775, November.
    39. David S. Lee, 2009. "Training, Wages, and Sample Selection: Estimating Sharp Bounds on Treatment Effects," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 1071-1102.
    40. Martin Nybom, 2017. "The Distribution of Lifetime Earnings Returns to College," Journal of Labor Economics, University of Chicago Press, vol. 35(4), pages 903-952.
    41. Clément de Chaisemartin, 2017. "Tolerating defiance? Local average treatment effects without monotonicity," Quantitative Economics, Econometric Society, vol. 8(2), pages 367-396, July.
    42. Joshua D. Angrist & Alan B. Krueger, 1993. "Split Sample Instrumental Variables," Working Papers 699, Princeton University, Department of Economics, Industrial Relations Section..
    43. Cecilia Machado, 2017. "Unobserved selection heterogeneity and the gender wage gap," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(7), pages 1348-1366, November.
    44. Carneiro, Pedro & Lee, Sokbae, 2009. "Estimating distributions of potential outcomes using local instrumental variables with an application to changes in college enrollment and wage inequality," Journal of Econometrics, Elsevier, vol. 149(2), pages 191-208, April.
    45. Fernández-Val, Iván & van Vuuren, Aico & Vella, Francis, 2018. "Nonseparable Sample Selection Models with Censored Selection Rules: An Application to Wage Decompositions," IZA Discussion Papers 11294, Institute of Labor Economics (IZA).
    46. Bhashkar Mazumder, 2008. "Does education improve health? A reexamination of the evidence from compulsory schooling laws," Economic Perspectives, Federal Reserve Bank of Chicago, vol. 32(Q II), pages 2-16.
    47. J.J. Heckman & E.E. Leamer (ed.), 2007. "Handbook of Econometrics," Handbook of Econometrics, Elsevier, edition 1, volume 6, number 6a.
    48. Sendhil Mullainathan & Jann Spiess, 2017. "Machine Learning: An Applied Econometric Approach," Journal of Economic Perspectives, American Economic Association, vol. 31(2), pages 87-106, Spring.
    49. repec:adr:anecst:y:2008:i:91-92:p:12 is not listed on IDEAS
    50. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    51. Martin Huber & Blaise Melly, 2015. "A Test of the Conditional Independence Assumption in Sample Selection Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 30(7), pages 1144-1168, November.
    52. Michael Bar & Seik Kim & Oksana Leukhina, 2015. "Gender Wage Gap Accounting: The Role of Selection Bias," Demography, Springer;Population Association of America (PAA), vol. 52(5), pages 1729-1750, October.
    53. Nicola Bianchi, 2020. "The Indirect Effects of Educational Expansions: Evidence from a Large Enrollment Increase in University Majors," Journal of Labor Economics, University of Chicago Press, vol. 38(3), pages 767-804.
    54. Seth D. Zimmerman, 2014. "The Returns to College Admission for Academically Marginal Students," Journal of Labor Economics, University of Chicago Press, vol. 32(4), pages 711-754.
    55. Robert Moffitt, 2008. "Estimating Marginal Treatment Effects in Heterogeneous Populations," Annals of Economics and Statistics, GENES, issue 91-92, pages 239-261.
    56. Guido W. Imbens & Donald B. Rubin, 1997. "Estimating Outcome Distributions for Compliers in Instrumental Variables Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(4), pages 555-574.
    57. Francisco Parro, 2012. "International Evidence on the Gender Gap in Education over the Past Six Decades: A Puzzle and an Answer to It," Journal of Human Capital, University of Chicago Press, vol. 6(2), pages 150-185.
    58. Gert G. Wagner & Joachim R. Frick & Jürgen Schupp, 2007. "The German Socio-Economic Panel Study (SOEP) – Scope, Evolution and Enhancements," Schmollers Jahrbuch : Journal of Applied Social Science Studies / Zeitschrift für Wirtschafts- und Sozialwissenschaften, Duncker & Humblot, Berlin, vol. 127(1), pages 139-169.
    59. Bjorklund, Anders & Moffitt, Robert, 1987. "The Estimation of Wage Gains and Welfare Gains in Self-selection," The Review of Economics and Statistics, MIT Press, vol. 69(1), pages 42-49, February.
    60. Casey B. Mulligan & Yona Rubinstein, 2008. "Selection, Investment, and Women's Relative Wages Over Time," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 1061-1110.
    61. Edward Vytlacil, 2002. "Independence, Monotonicity, and Latent Index Models: An Equivalence Result," Econometrica, Econometric Society, vol. 70(1), pages 331-341, January.
    62. Yingying Dong, 2019. "Regression Discontinuity Designs With Sample Selection," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 37(1), pages 171-186, January.
    63. Pekkarinen, Tuomas, 2012. "Gender Differences in Education," IZA Discussion Papers 6390, Institute of Labor Economics (IZA).
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    2. Laura Schmitz, 2022. "Heterogeneous Effects of After-School Care on Child Development," Discussion Papers of DIW Berlin 2006, DIW Berlin, German Institute for Economic Research.
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    4. Antonio Di Paolo & Khalifany-Ash Shidiqi, 2024. "“Education and Ethnic Intermarriage: Evidence from Higher Education Expansion in Indonesia”," AQR Working Papers 202403, University of Barcelona, Regional Quantitative Analysis Group, revised May 2024.
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    More about this item

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • I26 - Health, Education, and Welfare - - Education - - - Returns to Education
    • J24 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Human Capital; Skills; Occupational Choice; Labor Productivity

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