This article studies the returns to enrolling in U.S. public universities by comparing the long-term outcomes of barely admitted versus barely rejected applicants. I use administrative admission records spanning all 35 public universities in Texas, which collectively enroll 10% of all American public university students, to systematically identify and employ decentralized cutoffs in SAT/ACT scores that generate discontinuities in admission and enrollment. The typical marginally admitted student gains an additional year of education in the four-year sector, becomes 12 percentage points more likely to ever earn a bachelor’s degree, and eventually earns 8% more than their marginally rejected but otherwise identical counterpart. Marginally admitted students pay no additional tuition costs thanks to offsetting grant aid; cost-benefit calculations show internal rates of return of 26% for the marginal students themselves, 16% for society (which must pay for the additional education), and 7% for the government budget. Earnings gains are similar across admitting institutions of varying selectivity, but smaller for students from low-income families, who spend more time enrolled but complete fewer degrees and major in less lucrative fields. Finally, I develop a method to separately identify effects for students on the extensive margin of attending any university versus those on the margin of attending a more selective one, revealing larger effects on the extensive margin.

Two-year community colleges enroll nearly half of all first-time undergraduates in the United States, but to ambiguous effect: low persistence rates and the potential for diverting students from four-year institutions cast ambiguity over two-year colleges’ contributions to upward mobility. This paper develops a new instrumental variables approach to identifying causal effects along multiple treatment margins, and applies it to linked education and earnings registries to disentangle the net impacts of two-year college access into two competing causal margins: significant value added for two-year entrants who otherwise would not have attended college, but negative impacts on students diverted from immediate four-year entry.

We study the impacts of a major reform to vocational secondary education that aimed to move beyond the trade-off between providing occupational skills and closing off academic opportunities. Norway’s Reform 94 integrated more general education into the vocational track, offered vocational students a pathway to college, and increased access to apprenticeships. We identify reform impacts through a difference-in-discontinuity research design applied to linked population registries. The reform substantially increased initial vocational enrollment, but with divergent consequences by gender. Overall, the reform succeeded at improving social mobility, particularly for disadvantaged men, but it somewhat exacerbated the gender gap in adult earnings.

The decisions of judges, lenders, journal editors, and other gatekeepers often lead to significant disparities across affected groups. An important question is whether, and to what extent, these group-level disparities are driven by relevant differences in underlying individual characteristics or by biased decision makers. Becker (1957, 1993) proposed an outcome test of bias based on differences in post-decision outcomes across groups, inspiring a large and growing empirical literature. The goal of our paper is to offer a methodological blueprint for empirical work that seeks to use outcome tests to detect bias. We show that models of decision making underpinning outcome tests can be usefully recast as Roy models, since heterogeneous potential outcomes enter directly into the decision maker’s choice equation. Different members of the Roy model family, however, are distinguished by the tightness of the link between potential outcomes and decisions. We show that these distinctions have important implications for defining bias, deriving logically valid outcome tests of such bias, and identifying the marginal outcomes that the test requires.