I estimate the long term effect of military service on quantiles of earnings and education using the Vietnam draft lottery eligibility status as an instrument. I compare the local quantile treatment effect estimator studied by Abadie, Angrist, and Imbens (2002) to the instrumental variables quantile regression technique developed by Chernozhukov and Hansen (2008). Ordinary quantile regression shows a large negative association between service in Vietnam and earnings of white men, with the effect increasing in magnitude for the upper quantiles. Quantile treatment effects estimates show the opposite pattern, although much smaller in magnitude, with a small negative effect at the lower end of the distribution, and a small positive effect at the upper end. This suggests the ordinary quantile result is due to heterogeneous selection effects. The two methods of quantile treatment effects estimation give similar results.
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Did Vietnam Veterans Get Sicker in the 1990s? The Complicated Effects of Military Service on Self-Reported Health
August 2009
Working Paper Number:
CES-09-19
The veterans disability compensation (VDC) program, which provides a monthly stipend to disabled veterans, is the third largest American disability insurance program. Since the late 1990s, VDC growth has been driven primarily by an increase in claims from Vietnam veterans, raising concerns about costs as well as health. We use the draft lottery to study the long-term effects of Vietnam-era military service on health and work in the 2000 Census. These estimates show no significant overall effects on employment or work-related disability status, with a small effect on non-work-related disability for whites. On the other hand, estimates for white men with low earnings potential show a large negative impact on employment and a marked increase in non-work-related disability rates. The differential impact of Vietnam-era service on low-skill men cannot be explained by more combat or war-theatre exposure for the least educated, leaving the relative attractiveness of VDC for less skilled men and the work disincentives embedded in the VDC system as a likely explanation.
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Long-Term Effects of Vietnam-Era Conscription: Schooling, Experience and Earnings
August 2007
Working Paper Number:
CES-07-23
Instrumental variables (IV) estimates using the draft lottery show that white Vietnam-era draftees suffered substantial post-service earnings losses in the 1970s and 1980s. Angrist (1990) explains these losses as due primarily to lost labor market experience. Non-public use data from the 2000 Census allow the first longerterm follow-up for a large sample from the draft-lottery cohorts. We use these data to estimate the effects of military service on earnings, schooling, and a number of other variables. Consistent with the loss-of -experience model, IV estimates of the effects of Vietnam-era service on earnings are close to zero in 2000, when the draft-lottery cohorts were middle-aged and experience profiles relatively flat. On the other hand, draft-lottery estimates show a marked increase in schooling for Vietnam-era veterans. A variety of evidence suggests this increase reflects the impact of the Vietnam-era GI Bill more than draft-avoidance behavior. The economic return to the increased schooling generated by Vietnam-era service, estimated in a wage equation that constrains the impact of Vietnam-era military service to run solely through the experience and schooling channels, appears to be less than the OLS return. Finally, we look at measures of disability. The IV estimates point to an increase in non-workrelated disability rates and non-SSA disability income, but the fact that there is no corresponding effect on employment, hours worked, or work-related disability rates suggests health was affected little by Vietnam-era service. Allowing for excess disability among veterans raises the estimated returns to GI-Bill schooling slightly.
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The Impact of College Education on Old-Age Mortality: A Study of Marginal Treatment Effects
January 2017
Working Paper Number:
CES-17-30
Using a newly constructed dataset that links 2000 U.S. Census long-form records to Social Security Administration data files, I evaluate the effect of college education on mortality. In an OLS regression, women and men who have at least some college education have 20% lower mortality rates than those with a high school degree or less. I proceed with an empirical design intended to illuminate the extent to which this relationship is causal, estimating marginal treatment effects (MTEs) using the proximity of the nearest college to individuals' birthplace as an instrument. Results indicate positive selection into college education (in terms of longevity) for both women and men. Selection drives almost all of the mortality gap for women. For men, longevity gains from college attendance are concentrated among individuals with unobserved variables that make them unlikely attend college. This suggests that men who would benefit most from receiving college education in terms of mortality reductions are those who are not attending.
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The Effects of Smoking in Young Adulthood on Smoking and Health Later in Life: Evidence Based on the Vietnam Era Draft Lottery
September 2008
Working Paper Number:
CES-08-35
An important, unresolved question for health policymakers and consumers is whether cigarette smoking in young adulthood has significant lasting effects into later adulthood. The Vietnam era draft lottery offers an opportunity to address this question, because it randomly assigned young men to be more likely to experience conditions favoring cigarette consumption, including highly subsidized prices. Using this natural experiment, we find that military service increased the probability of smoking by 35 percentage points as of 1978-80, when men in the relevant cohorts were aged 25-30, but later in adulthood this effect was substantially attenuated and did not lead to large negative health effects.
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Distribution Preserving Statistical Disclosure Limitation
September 2006
Working Paper Number:
tp-2006-04
One approach to limiting disclosure risk in public-use microdata is to release multiply-imputed,
partially synthetic data sets. These are data on actual respondents, but with confidential data
replaced by multiply-imputed synthetic values. A mis-specified imputation model can invalidate
inferences because the distribution of synthetic data is completely determined by the model used
to generate them. We present two practical methods of generating synthetic values when the imputer
has only limited information about the true data generating process. One is applicable when
the true likelihood is known up to a monotone transformation. The second requires only limited
knowledge of the true likelihood, but nevertheless preserves the conditional distribution of the confidential
data, up to sampling error, on arbitrary subdomains. Our method maximizes data utility
and minimizes incremental disclosure risk up to posterior uncertainty in the imputation model and
sampling error in the estimated transformation. We validate the approach with a simulation and
application to a large linked employer-employee database.
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Wage Dispersion, Compensation Policy and the Role of Firms
November 2005
Working Paper Number:
tp-2005-04
Empirical work in economics stresses the importance of unobserved firm- and person-level characteristics
in the determination of wages, finding that these unobserved components account for the overwhelming
majority of variation in wages. However, little is known about the mechanisms sustaining these wage di'er-
entials. This paper attempts to demystify the firm-side of the puzzle by developing a statistical model that
enriches the role that firms play in wage determination, allowing firms to influence both average wages as
well as the returns to observable worker characteristics.
I exploit the hierarchical nature of a unique employer-employee linked dataset for the United States,
estimating a multilevel statistical model of earnings that accounts for firm-specific deviations in average
wages as well as the returns to components of human capital - race, gender, education, and experience -
while also controlling for person-level heterogeneity in earnings. These idiosyncratic prices reflect one aspect
of firm compensation policy; another, and more novel aspect, is the unstructured characterization of the
covariance of these prices across firms.
I estimate the model's variance parameters using Restricted (or Residual) Maximum Likelihood tech-
niques. Results suggest that there is significant variation in the returns to worker characteristics across
firms. First, estimates of the parameters of the covariance matrix of firm-specific returns are statistically
significant. Firms that tend to pay higher average wages also tend to pay higher than average returns to
worker characteristics; firms that tend to reward highly the human capital of men also highly reward the
human capital of women. For instance, the correlation between the firm-specific returns to education for
men and women is 0.57. Second, the firm-specific returns account for roughly 9% of the variation in wages
- approximately 50% of the variation in wages explained by firm-specific intercepts alone. The inclusion of
firm-specific returns ties variation in wages, otherwise attributable to firm-specific intercepts, to observable
components of human capital.
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Universal Preschool Lottery Admissions and Its Effects on Long-Run Earnings and Outcomes
March 2023
Working Paper Number:
CES-23-09
We use an admissions lottery to estimate the effect of a universal (non-means tested) preschool program on students' long-run earnings, income, marital status, fertility and geographic mobility. We observe long-run outcomes by linking both admitted and non-admitted individuals to confidential administrative data including tax records. Funding for this preschool program comes from an Indigenous organization, which grants Indigenous students admissions preference and free tuition. We find treated children have between 5 to 6 percent higher earnings as young adults. The results are strongest for individuals from the lower half of the household income distribution in childhood. Likely mechanisms include high-quality teachers and curriculum.
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School Equalization in the Shadow of Jim Crow: Causes and Consequences of Resource Disparity in Mississippi circa 1940
May 2024
Working Paper Number:
CES-24-25
A school finance equalization program established in Mississippi in 1920 failed to help many of the state's Black students'an outcome that was typical in the segregated U.S. South (Horace Mann Bond, 1934). In majority-Black school districts, local decision-makers overwhelmingly favored white schools when allotting funds from the state's preexisting per capita fund, and the resulting high expenditures on white students rendered these districts ineligible for the equalization program. Thus, while Black students residing in majority-white districts benefitted from increased spending and standards for Black schools, those in majority-Black districts continued to experience extremely low'and even worsening'school funding. We model the processes that led the so-called equalization policy to create disparities in schooling resources for Black students, and estimate effects on Black children using both a neighboring-counties design and an IV strategy. We find that local educational spending had large impacts on Black enrollment rates, as reported in the 1940 census, with Black educational attainment increasing in marginal spending. Finally, we link the 1940 and 2000 censuses to show that Black children exposed to higher levels of school expenditures had significantly more completed schooling and higher income late in life.
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Family Formation and the Great Recession
December 2020
Working Paper Number:
CES-20-42R
This paper studies how exposure to recessions as a young adult impacts long-term family formation in the context of the Great Recession. Using confidential linked survey data from U.S. Census, I document that exposure to a 1 pp larger unemployment shock in the Great Recession in one's early 20s is associated with a 0.8 pp decline in likelihood of marriage by their early 30s. These effects are not explained by substitution toward cohabitation with unmarried partners, are concentrated among whites, and are notably absent for individuals from high-income families. The estimated effects on fertility are also negative but imprecisely estimated. A back-of-the-envelope exercise suggests that these reductions in family formation may have increased the long-run impact of the Recession on consumption relative to its impact on individual earnings by a considerable extent.
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Education and Mortality: Evidence for the Silent Generation from Linked Census and Administrative Data
August 2025
Working Paper Number:
CES-25-56
We quantify the effect of education on mortality using a linkage of the full count 1940, 2000, and 2010 US census files and the Numident death records file. Our sample is composed of children aged 0-18 in 1940, observed living with at least one parent, for whom we can construct a rich set of parental and neighborhood characteristics. We estimate effects of educational attainment in 1940 on survival to 2000, as well as the effects of completed education, observed in 2000, on 10-year survival to 2010. The educational gradients in longevity that we estimate are robust to the inclusion of detailed individual, parental, household, neighborhood and county covariates. Given our full population census sample, we also explore rich patterns of heterogeneity and examine the effect of mediators of the education-mortality relationship. The mediators we consider in this study explain more than half of the relationship between education and mortality. We further show that the mechanisms underlying the education-mortality gradient might be different at different margins of educational attainment.
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