IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2508.13366.html

Monotonic Path-Specific Effects: Application to Estimating Educational Returns

Author

Listed:
  • Aleksei Opacic

Abstract

Conventional research on educational effects typically either employs a "years of schooling" measure of education, or dichotomizes attainment as a point-in-time treatment. Yet, such a conceptualization of education is misaligned with the sequential process by which individuals make educational transitions. In this paper, I propose a causal mediation framework for the study of educational effects on outcomes such as earnings. The framework considers the effect of a given educational transition as operating indirectly, via progression through subsequent transitions, as well as directly, net of these transitions. I demonstrate that the average treatment effect (ATE) of education can be additively decomposed into mutually exclusive components that capture these direct and indirect effects. The decomposition has several special properties which distinguish it from conventional mediation decompositions of the ATE, properties which facilitate less restrictive identification assumptions as well as identification of all causal paths in the decomposition. An analysis of the returns to high school completion in the NLSY97 cohort suggests that the payoff to a high school degree stems overwhelmingly from its direct labor market returns. Mediation via college attendance, completion and graduate school attendance is small because of individuals' low counterfactual progression rates through these subsequent transitions.

Suggested Citation

  • Aleksei Opacic, 2025. "Monotonic Path-Specific Effects: Application to Estimating Educational Returns," Papers 2508.13366, arXiv.org, revised Feb 2026.
  • Handle: RePEc:arx:papers:2508.13366
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2508.13366
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:fth:prinin:331 is not listed on IDEAS
    2. Weaver, Vesla M. & Lerman, Amy E., 2010. "Political Consequences of the Carceral State," American Political Science Review, Cambridge University Press, vol. 104(4), pages 817-833, November.
    3. Lesley J. Turner & Oded Gurantz, 2025. "Experimental Estimates of College Coaching on Postsecondary Reenrollment," Education Finance and Policy, MIT Press, vol. 20(2), pages 214-235, Spring.
    4. Thomas J. Kane & Cecilia Rouse, 1993. "Labor Market Returns to Two- And Four-Year College: Is A Credit a Credit And Do Degrees Matter?," Working Papers 690, Princeton University, Department of Economics, Industrial Relations Section..
    5. Joshua D. Angrist & Stacey H. Chen, 2011. "Schooling and the Vietnam-Era GI Bill: Evidence from the Draft Lottery," American Economic Journal: Applied Economics, American Economic Association, vol. 3(2), pages 96-118, April.
    6. Thomas J. Kane & Cecilia E. Rouse, 1993. "Labor Market Returns to Two- And Four-Year College: Is a Credit a Credit And Do Degrees Matter?," Working Papers 690, Princeton University, Department of Economics, Industrial Relations Section..
    7. R. M. Daniel & B. L. De Stavola & S. N. Cousens & S. Vansteelandt, 2015. "Causal mediation analysis with multiple mediators," Biometrics, The International Biometric Society, vol. 71(1), pages 1-14, March.
    8. Sandra E. Black & Jeffrey T. Denning & Lisa J. Dettling & Sarena Goodman & Lesley J. Turner, 2023. "Taking It to the Limit: Effects of Increased Student Loan Availability on Attainment, Earnings, and Financial Well-Being," American Economic Review, American Economic Association, vol. 113(12), pages 3357-3400, December.
    9. repec:fth:prinin:311 is not listed on IDEAS
    10. Hugo Bodory & Martin Huber & Lukáš Lafférs, 2022. "Evaluating (weighted) dynamic treatment effects by double machine learning [Identification of causal effects using instrumental variables]," The Econometrics Journal, Royal Economic Society, vol. 25(3), pages 628-648.
    11. Sarah R. Cohodes & Joshua S. Goodman, 2014. "Merit Aid, College Quality, and College Completion: Massachusetts' Adams Scholarship as an In-Kind Subsidy," American Economic Journal: Applied Economics, American Economic Association, vol. 6(4), pages 251-285, October.
    12. David Card, 1994. "Earnings, Schooling, and Ability Revisited," Working Papers 710, Princeton University, Department of Economics, Industrial Relations Section..
    13. Jack Mountjoy & Brent R. Hickman, 2021. "The Returns to College(s): Relative Value-Added and Match Effects in Higher Education," NBER Working Papers 29276, National Bureau of Economic Research, Inc.
    14. Jack Mountjoy, 2022. "Community Colleges and Upward Mobility," American Economic Review, American Economic Association, vol. 112(8), pages 2580-2630, August.
    15. Xiang Zhou & Guanghui Pan, 2023. "Higher Education and the Black-White Earnings Gap," American Sociological Review, , vol. 88(1), pages 154-188, February.
    16. Bird, Kelli A. & Castleman, Benjamin L. & Denning, Jeffrey T. & Goodman, Joshua & Lamberton, Cait & Rosinger, Kelly Ochs, 2021. "Nudging at scale: Experimental evidence from FAFSA completion campaigns," Journal of Economic Behavior & Organization, Elsevier, vol. 183(C), pages 105-128.
    17. Thomas J. Kane & Cecilia E. Rouse, 1993. "Labor Market Returns to Two- and Four-Year Colleges: Is a Credit a Credit and Do Degrees Matter?," NBER Working Papers 4268, National Bureau of Economic Research, Inc.
    18. Jeffrey M. Albert & Suchitra Nelson, 2011. "Generalized Causal Mediation Analysis," Biometrics, The International Biometric Society, vol. 67(3), pages 1028-1038, September.
    19. C H Miles & I Shpitser & P Kanki & S Meloni & E J Tchetgen Tchetgen, 2020. "On semiparametric estimation of a path-specific effect in the presence of mediator-outcome confounding," Biometrika, Biometrika Trust, vol. 107(1), pages 159-172.
    20. Victor Chernozhukov & Denis Chetverikov & Mert Demirer & Esther Duflo & Christian Hansen & Whitney Newey & James Robins, 2018. "Double/debiased machine learning for treatment and structural parameters," Econometrics Journal, Royal Economic Society, vol. 21(1), pages 1-68, February.
    21. Zachary Bleemer, 2022. "Affirmative Action, Mismatch, and Economic Mobility after California’s Proposition 209," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 137(1), pages 115-160.
    22. 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.
    23. Raj Chetty & David J Deming & John N Friedman, 2026. "Diversifying Society’s Leaders? The Determinants and Causal Effects of Admission to Highly Selective Private Colleges," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 141(1), pages 51-145.
    24. Joshua Goodman & Michael Hurwitz & Jonathan Smith, 2017. "Access to 4-Year Public Colleges and Degree Completion," Journal of Labor Economics, University of Chicago Press, vol. 35(3), pages 829-867.
    25. Helmut Farbmacher & Martin Huber & Lukáš Lafférs & Henrika Langen & Martin Spindler, 2022. "Causal mediation analysis with double machine learning [Mediation analysis via potential outcomes models]," The Econometrics Journal, Royal Economic Society, vol. 25(2), pages 277-300.
    26. Caleb H. Miles & Ilya Shpitser & Phyllis Kanki & Seema Meloni & Eric J. Tchetgen Tchetgen, 2017. "Quantifying an Adherence Path-Specific Effect of Antiretroviral Therapy in the Nigeria PEPFAR Program," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(520), pages 1443-1452, October.
    27. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    28. Susan Dynarski & CJ Libassi & Katherine Michelmore & Stephanie Owen, 2021. "Closing the Gap: The Effect of Reducing Complexity and Uncertainty in College Pricing on the Choices of Low-Income Students," American Economic Review, American Economic Association, vol. 111(6), pages 1721-1756, June.
    29. David Card, 1994. "Earnings, Schooling, and Ability Revisited," Working Papers 710, Princeton University, Department of Economics, Industrial Relations Section..
    30. Judith Scott-Clayton & Qiao Wen, 2019. "Estimating Returns to College Attainment: Comparing Survey and State Administrative Data–Based Estimates," Evaluation Review, , vol. 43(5), pages 266-306, October.
    31. James J. Heckman & John Eric Humphries & Gregory Veramendi, 2018. "Returns to Education: The Causal Effects of Education on Earnings, Health, and Smoking," Journal of Political Economy, University of Chicago Press, vol. 126(S1), pages 197-246.
    32. Orley Ashenfelter & David J. Zimmerman, 1997. "Estimates Of The Returns To Schooling From Sibling Data: Fathers, Sons, And Brothers," The Review of Economics and Statistics, MIT Press, vol. 79(1), pages 1-9, February.
    33. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    34. Jonathan Smith & Joshua Goodman & Michael Hurwitz, 2020. "The Economic Impact of Access to Public Four-Year Colleges," NBER Working Papers 27177, National Bureau of Economic Research, Inc.
    Full references (including those not matched with items on IDEAS)

    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. Ghazala Azmat & Jack Britton, 2024. "Labour Market Returns to Higher Education," Sciences Po Economics Publications (main) hal-04709561, HAL.
    2. Doan, Tinh & Stevens, Philip, 2011. "Labour market returns to higher education in Vietnam," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy, vol. 5, pages 1-21.
    3. Siameh, Celestine O., 2020. "The Impact of Education Reforms on Household Adult Welfare Outcomes in Ethiopia: The 1994 Free Primary Education (FPE) Reform," 2020 Annual Meeting, July 26-28, Kansas City, Missouri 304567, Agricultural and Applied Economics Association.
    4. Sloczynski, Tymon, 2021. "When Should We (Not) Interpret Linear IV Estimands as LATE?," IZA Discussion Papers 14349, IZA Network @ LISER.
    5. Drew M. Anderson & David B. Monaghan & Jed Richardson, 2024. "Can the Promise of Free Education Improve College Attainment? Lessons from the Milwaukee Area Technical College Promise," Research in Higher Education, Springer;Association for Institutional Research, vol. 65(8), pages 1747-1770, December.
    6. James J. Heckman & John Eric Humphries & Gregory Veramendi, 2018. "Returns to Education: The Causal Effects of Education on Earnings, Health, and Smoking," Journal of Political Economy, University of Chicago Press, vol. 126(S1), pages 197-246.
    7. Jack Mountjoy & Brent Hickman, 2020. "The Returns to College(s): Estimating Value-Added and Match Effects in Higher Education," Working Papers 2020-08, Becker Friedman Institute for Research In Economics.
    8. Mogstad, Magne & Torgovitsky, Alexander, 2024. "Instrumental variables with unobserved heterogeneity in treatment effects," Handbook of Labor Economics,, Elsevier.
    9. Evan Taylor, 2017. "The Impact of College Education on Old-Age Mortality: A Study of Marginal Treatment Effects," Working Papers 17-30, Center for Economic Studies, U.S. Census Bureau.
    10. Daeheon Choi & Chune Young Chung & Ha Truong, 2019. "Return on Education in Two Major Vietnamese Cities," Sustainability, MDPI, vol. 11(18), pages 1-30, September.
    11. Mogstad, Magne & Torgovitsky, Alexander & Walters, Christopher R., 2024. "Policy evaluation with multiple instrumental variables," Journal of Econometrics, Elsevier, vol. 243(1).
    12. Philip Oreopoulos & Kjell G. Salvanes, 2009. "How large are returns to schooling? Hint: Money isn't everything," NBER Working Papers 15339, National Bureau of Economic Research, Inc.
    13. Mustafizur Rahman & Md. Al-Hasan, 2018. "Returns to Schooling in Bangladesh Revisited: An Instrumental Variable Quantile Regression Approach," Bangladesh Development Studies, Bangladesh Institute of Development Studies (BIDS), vol. 41(02), pages 27-42.
    14. Empar Pons & Maria Teresa Gonzalo, 2001. "Returns to Schooling in Spain. How Reliable Are IV Estimates?," Working Papers 446, Queen Mary University of London, School of Economics and Finance.
    15. Ashley Edwards & Justin Ortagus & Jonathan Smith & Andria Smythe, 2025. "HBCU Enrollment and Longer-Term Outcomes," American Economic Journal: Economic Policy, American Economic Association, vol. 17(3), pages 197-235, August.
    16. Gensowski, Miriam, 2018. "Personality, IQ, and lifetime earnings," Labour Economics, Elsevier, vol. 51(C), pages 170-183.
    17. David Card, 1994. "Earnings, Schooling, and Ability Revisited," Working Papers 710, Princeton University, Department of Economics, Industrial Relations Section..
    18. David Card, 1993. "Using Geographic Variation in College Proximity to Estimate the Return to Schooling," Working Papers 696, Princeton University, Department of Economics, Industrial Relations Section..
    19. Thomas J. Kane & Cecilia E. Rouse & Douglas Staiger, 1999. "Estimating Returns to Schooling When Schooling is Misreported," Working Papers 798, Princeton University, Department of Economics, Industrial Relations Section..
    20. John Giles & Albert Park & Meiyan Wang, 2019. "The Great Proletarian Cultural Revolution, Disruptions to Education, and the Returns to Schooling in Urban China," Economic Development and Cultural Change, University of Chicago Press, vol. 68(1), pages 131-164.

    More about this item

    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:arx:papers:2508.13366. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.