Abstract
This article takes a first look at the distribution of returns to education for people with disabilities, a particularly disadvantaged group whose labor market performances have not been well studied or documented. Using a nonparametric approach, we uncover significant heterogeneity in the returns to education for these workers, which is drastically masked by conventional parametric methods. Based on these estimates, we construct the Sharpe ratio of human capital investment (taking into account its substantial risk), and our results corroborate the claimed importance of human capital in improving these workers’ wages. Our stochastic dominance tests show that the returns to education for workers with disabilities, as a group, may have been affected more adversely in the most recent recession, relative to their non-disabled counterparts.
Notes
This figure varies with data sources, operating definitions of disability, and estimation methodologies.
In short, LLLS performs weighted least-squares regressions at a point x with weights determined by a kernel function and bandwidth vector. Specifically, more weight is given to observations in the neighborhood of x. This is performed over the range of x and then the unknown function is estimated by connecting the point estimates. Some of the benefits of LLLS are that it requires no assumptions on the underlying functional form and allows for heterogeneity in the partial effects. Further, if indeed the true functional form is linear, the LLLS estimator nests the OLS estimator when the bandwidth is very large.
A useful feature of the LSCV procedure, among others, is its ability to detect whether a continuous variable enters the function linearly in the LLLS case (Hall et al. 2007). A very large bandwidth (h →∞) (which implies K(⋅) → K(0), a constant) implies each observation is given equal weight in estimation, which makes the original minimization problem an OLS problem over the whole support.
Available for download at http://mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library.html.
Source: Prevalence of Disability and Disabiity Type Among Adults – United States, 2013 Weekly July 31, 2015. https://www.cdc.gov/mmwr/preview/mmwrhtml/mm6429a2.htm.
References
Aitchison J, Aitken C G G (1976) Multivariate binary discrimination by the kernel method. Biometrika 63:413–420
Angrist JD, Krueger AB (1991) Does compulsory school attendance affect schooling and earnings?. Q J Econ 106:979–1014
Auto DH, Duggan MG (2010) Supporting work: a proposal for modernizing the U.S. disability insurance system. Technical report, Center for American Perspective and the Hamilton Project, Washington, DC
Brault M (2012) Americans with Disabilities: 2010, Current Population Reports pp 70–131, U.S. Census Bureau, Washington, DC
Burkhauser RV, Daly M (2011) The declining work and welfare of people with disabilities: what went wrong and a strategy for change. AEI Press, Washington
Card D (1995) Earnings, schooling, and ability revisited. Res Labor Econ 14:23–48
Card D (1999) Handbook of labor economics, vol 3, chapter The causal effect of education on earnings. North Holland, Amsterdam
Congressional Budget Office (2011) An update to the economic and budget outlook: fiscal years 2012 to 2022. Technical report, congressional budget office
Congressional Budget Office (2015) The Budget and Economic Outlook: 2016 to 2026. Technical Report, Congressional Budget Office
Cunha F, Heckman JJ, Lochner L, Masterov DV (2006) Handbook of the economics of education, volume 1, chapter interpreting the evidence on life cycle skill formation, pp 698–812. Elsevier
Dickson M, Harmon C (2011) Economic returns to education: what we know, what we don’t know, and where we are going—some brief pointers. Econ Educ Rev 30:1118–1122
Eren O, Henderson DJ (2008) The impact of homework on student achievement. Econ J 11:326–348
Griliches Z (1977) Estimating the returns to schooling: some econometric problems. Econometrica 45(l):1–22
Hall P, Li Q, Racine JS (2007) Nonparametric estimation of regression functions in the presence of irrelevant regressors. Rev Econ Stat 89:784–789
Harmon CP, Hogan V, Walker I (2003) Dispersion in the economic return to schooling. Labour Econ 10(2):205–214
Heckman JJ, Lochner L, Todd L (2006) Handbook of the economics of education, volume 1, chapter earnings functions, rates of return and treatment effects: the mincer equation and beyond. Elsevier, pp 308–458
Heckman JJ, L Lochner, P Todd (2003) Fifty years of mincer earnings functions. IZA discussion papers no. 775
Henderson DJ, Parmeter CF (2015) Applied nonparametric econometrics. Cambridge University Press, New York
Henderson DJ, Polachek SW, Wang L (2011) Heterogeneity in schooling rates of return. Econ Educ Rev 30:1202–1214
Hogan V, Rigobon R (2002) Using heteroscedasticity to estimate the returns to education. NBER Working Paper 9145
Hollenbeck K, Kimmel J (2008) Differences in the returns to education for males by disability status and age of disability onset. South Econ J 74:707–724
Koop G, Tobias JL (2004) Learning about heterogeneity in returns to schooling. J Appl Econ 19(7):827–849
Lamichhane K, Sawada Y (2013) Disability and returns to education in a developing country. Econ Educ Rev 37:85–94
Li Q, Racine J (2004) Cross-validated local linear nonparametric regression. Stat Sin 14:485–512
Li Q, Racine JS (2007) Nonparametric econometrics: theory and practice. Princeton University Press, New Jersey
Linton O, Maasoumi E, Whang YJ (2005) Consistent testing for stochastic dominance: a subsampling approach. Rev Econ Stud 72:735–765
Løken KV, Mogstad M, Wiswall M (2012) What linear estimators miss: the effect of family income on child outcomes. American Economic Journal: Applied Economics 4(2):1–35
Maasoumi E, Heshmati A (2000) Stochastic dominance amongst swedish income distributions. Econ Rev 19:287–320
Mann D, Stapleton D (2012) A Roadmap to a 21st-Century disabilility policy. Technical report, Mathematica Policy Research, Washington
Palacios-Huerta I (2003) An empirical analysis of the risk properties of human capital returns. Am Econ Rev 93:948–964
Racine J, Li Q (2004) Nonparametric estimation of regression functions with both categorical and continuous data. J Econ 119:99–130
Sharpe WF (1966) Mutual Fund Performance. J Bus 39:119–138
Smetters K, Zhang X (2013) A sharper ratio, NBER working paper No. 19500
Stone C (1984) An asymptotically optimal window selection rule for kernel density estimates. Ann Stat 12(4):1285–1297
Acknowledgements
The authors would like to acknowledge the excellent research assistance of Jia Gao. The contents do not necessarily represent the policy of the Department of Education and you should not assume endorsement by the federal government (Edgar, 75.620 (b)). The authors are solely responsible for any errors or omissions.
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Funding for this paper was made possible by the Rehabilitation Research and Training Center on Employment Policy and Measurement, which is funded by the U.S. Department of Education, National Institute for Disability and Rehabilitation Research (NIDRR), under cooperative agreement H133B100030.
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Henderson, D.J., Houtenville, A. & Wang, L. The Distribution of Returns to Education for People with Disabilities. J Labor Res 38, 261–282 (2017). https://doi.org/10.1007/s12122-017-9245-8
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DOI: https://doi.org/10.1007/s12122-017-9245-8