We introduce a general framework to analyze the trade-off between education and family size. Our framework incorporates parental preferences for birth order and delivers theoretically consistent birth order and family size effects on children's educational attainment. We develop an empirical...

This paper builds on the methods of local instrumental variables developed by Heckman and Vytlacil (1999, 2001, 2005) to estimate person-centered treatment (PeT) effects that are conditioned on the person's observed characteristics and averaged over the potential conditional distribution of...

We analyze linear models with a single endogenous regressor in the presence of many instrumental variables. We weaken a key assumption typically made in this literature by allowing all the instruments to have direct effects on the outcome. We consider restrictions on these direct effects that...

In the canonical regression discontinuity (RD) design for applicants who face an award or admissions cutoff, causal effects are nonparametrically identified for those near the cutoff. The impact of treatment on inframarginal applicants is also of interest, but identification of such effects...

Spending on big-time college athletics is often justified on the grounds that athletic success attracts students and raises donations. Testing this claim has proven difficult because success is not randomly assigned. We exploit data on bookmaker spreads to estimate the probability of winning...

An instrumental variables (IV) identification strategy that exploits statutory class size caps shows significant achievement gains in smaller classes in Italian primary schools. Gains from small classes are driven mainly by schools in Southern Italy, suggesting a substantial return to class size...

Lottery estimates suggest oversubscribed urban charter schools boost student achievement markedly. But these estimates needn’t capture treatment effects for students who haven’t applied to charter schools or for students attending charters for which demand is weak. This paper reports...

We examine heterogeneity in the impacts of exposure to mixed-ability ‘comprehensive’ schools in adolescence on long-term health and smoking behaviour. We explore the roles that cognitive and non-cognitive skills may play in moderating these impacts. We use data from the 1958 National Child...

In this paper we provide some evidence that repeat taking of competitive exams may reduce the impact of background disadvantages on educational outcomes. Using administrative data on the university entrance exam in Turkey we estimate cumulative learning between the first and the nth attempt...

We consider nonparametric identification and estimation in a nonseparable model where a continuous regressor of interest is a known, deterministic, but kinked function of an observed assignment variable. This design arises in many institutional settings where a policy variable (such as weekly...