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The efficacy of ability proxies for estimating the returns to schooling: A factor model‐based evaluation

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  • Mohitosh Kejriwal
  • Xiaoxiao Li
  • Linh Nguyen
  • Evan Totty

Abstract

A common approach to addressing ability bias is to augment the earnings‐schooling regression with proxies for cognitive and non‐cognitive skills. We evaluate this approach using a factor model framework, which allows consistent estimation of the returns to schooling without relying on proxies. The factor model estimators may be viewed as implicitly estimating proxy measurement error and/or accounting for omitted dimensions of ability. A bias decomposition quantifies the contribution of the proxies while the estimated latent skills are used to construct direct tests for their viability. Both sets of results confirm the inadequacy of the proxies in capturing the latent skills.

Suggested Citation

  • Mohitosh Kejriwal & Xiaoxiao Li & Linh Nguyen & Evan Totty, 2024. "The efficacy of ability proxies for estimating the returns to schooling: A factor model‐based evaluation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 39(1), pages 3-21, January.
    • Handle: RePEc:wly:japmet:v:39:y:2024:i:1:p:3-21
    DOI: 10.1002/jae.3011
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    1. Jeremy Lise & Fabien Postel-Vinay, 2020. "Multidimensional Skills, Sorting, and Human Capital Accumulation," American Economic Review, American Economic Association, vol. 110(8), pages 2328-2376, August.
    2. Joseph G. Altonji & Charles R. Pierret, 2001. "Employer Learning and Statistical Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 313-350.
    3. Hansen, Karsten T. & Heckman, James J. & Mullen, K.J.Kathleen J., 2004. "The effect of schooling and ability on achievement test scores," Journal of Econometrics, Elsevier, vol. 121(1-2), pages 39-98.
    4. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    5. 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.
    6. Jonah B. Gelbach, 2016. "When Do Covariates Matter? And Which Ones, and How Much?," Journal of Labor Economics, University of Chicago Press, vol. 34(2), pages 509-543.
    7. 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.
    8. 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).
    9. Lin, Dajun & Lutter, Randall & Ruhm, Christopher J., 2018. "Cognitive performance and labour market outcomes," Labour Economics, Elsevier, vol. 51(C), pages 121-135.
    10. 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.
    11. Lange, Fabian & Topel, Robert, 2006. "The Social Value of Education and Human Capital," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 8, pages 459-509, Elsevier.
    12. Fatih Guvenen & Burhan Kuruscu & Satoshi Tanaka & David Wiczer, 2020. "Multidimensional Skill Mismatch," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(1), pages 210-244, January.
    13. Koop, Gary M & Tobias, Justin, 2004. "Learning About Heterogeneity in Returns to Schooling," Staff General Research Papers Archive 12008, Iowa State University, Department of Economics.
    14. James J. Heckman & Jora Stixrud & Sergio Urzua, 2006. "The Effects of Cognitive and Noncognitive Abilities on Labor Market Outcomes and Social Behavior," Journal of Labor Economics, University of Chicago Press, vol. 24(3), pages 411-482, July.
    15. Christian Belzil & Jörgen Hansen, 2002. "Unobserved Ability and the Return to Schooling," Econometrica, Econometric Society, vol. 70(5), pages 2075-2091, September.
    16. Evan Totty, 2017. "The Effect Of Minimum Wages On Employment: A Factor Model Approach," Economic Inquiry, Western Economic Association International, vol. 55(4), pages 1712-1737, October.
    17. Westerlund, Joakim & Petrova, Yana, 2018. "Asymptotic collinearity in CCE estimation of interactive effects models," Economic Modelling, Elsevier, vol. 70(C), pages 331-337.
    18. Mohitosh Kejriwal & Xiaoxiao Li & Evan Totty, 2020. "Multidimensional skills and the returns to schooling: Evidence from an interactive fixed‐effects approach and a linked survey‐administrative data set," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(5), pages 548-566, August.
    19. M. Hashem Pesaran, 2006. "Estimation and Inference in Large Heterogeneous Panels with a Multifactor Error Structure," Econometrica, Econometric Society, vol. 74(4), pages 967-1012, July.
    20. Bai, Jushan & Ng, Serena, 2006. "Evaluating latent and observed factors in macroeconomics and finance," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 507-537.
    21. Jared Ashworth & V. Joseph Hotz & Arnaud Maurel & Tyler Ransom, 2021. "Changes across Cohorts in Wage Returns to Schooling and Early Work Experiences," Journal of Labor Economics, University of Chicago Press, vol. 39(4), pages 931-964.
    22. Heckman, James J. & Lochner, Lance J. & Todd, Petra E., 2006. "Earnings Functions, Rates of Return and Treatment Effects: The Mincer Equation and Beyond," Handbook of the Economics of Education, in: Erik Hanushek & F. Welch (ed.), Handbook of the Economics of Education, edition 1, volume 1, chapter 7, pages 307-458, Elsevier.
    23. Flavio Cunha & Fatih Karahan & Ilton Soares, 2011. "Returns to Skills and the College Premium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 39-86, August.
    24. Jushan Bai, 2009. "Panel Data Models With Interactive Fixed Effects," Econometrica, Econometric Society, vol. 77(4), pages 1229-1279, July.
    25. Card, David, 2001. "Estimating the Return to Schooling: Progress on Some Persistent Econometric Problems," Econometrica, Econometric Society, vol. 69(5), pages 1127-1160, September.
    26. Onatski, Alexei, 2012. "Asymptotics of the principal components estimator of large factor models with weakly influential factors," Journal of Econometrics, Elsevier, vol. 168(2), pages 244-258.
    27. Dukpa Kim & Tatsushi Oka, 2014. "Divorce Law Reforms And Divorce Rates In The Usa: An Interactive Fixed‐Effects Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 29(2), pages 231-245, March.
    28. Donna K. Ginther, 2000. "Alternative Estimates of the Effect of Schooling on Earnings," The Review of Economics and Statistics, MIT Press, vol. 82(1), pages 103-116, February.
    29. Benjamin Williams, 2019. "Controlling for ability using test scores," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 34(4), pages 547-565, June.
    30. Flavio Cunha & Fatih Karahan & Ilton Soares, 2011. "Returns to Skills and the College Premium," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(s1), pages 39-86, August.
    31. Hungerford, Thomas & Solon, Gary, 1987. "Sheepskin Effects in the Returns to Education," The Review of Economics and Statistics, MIT Press, vol. 69(1), pages 175-177, February.
    32. De Vos, Ignace & Westerlund, Joakim, 2019. "On CCE estimation of factor-augmented models when regressors are not linear in the factors," Economics Letters, Elsevier, vol. 178(C), pages 5-7.
    33. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
    34. Westerlund, Joakim & Urbain, Jean-Pierre, 2013. "On the estimation and inference in factor-augmented panel regressions with correlated loadings," Economics Letters, Elsevier, vol. 119(3), pages 247-250.
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