This paper uses the concept of the triad census first introduced by Holland and Leinhardt, and describes several distributions on directed graphs. Methods are presented for calculating the mean and the covariance matrix of the triad census for the uniform distribution that conditions on the...

This paper examines the econometric causal model for policy analysis developed by the seminal ideas of Ragnar Frisch and Trygve Haavelmo. We compare the econometric causal model with two popular causal frameworks: Neyman-Holland causal model and the do-calculus. The Neyman-Holland causal model...

We define a general class of network formation models, Statistical Exponential Random Graph Models (SERGMs), that nest standard exponential random graph models (ERGMs) as a special case. We provide the first general results on when these models' (including ERGMs) parameters estimated from the...

Haavelmo's seminal 1943 paper is the first rigorous treatment of causality. In it, he distinguished the definition of causal parameters from their identification. He showed that causal parameters are defined using hypothetical models that assign variation to some of the inputs determining...

This study reports the findings from a year-long randomized evaluation assessing the impact of assigning 62 classrooms in Nigeria to receive either blocked or interleaved math problem sets. Blocked practice sessions focused on a single skill at a time. Interleaved problem sets alternated between...

This paper shows that standard empirical methods for estimating log-linearized consumption Euler equations cannot successfully uncover structural parameters like the coefficient of relative risk aversion from the dataset of simulated consumers behaving exactly according to the standard model....

We study the correlation between parental gender attitudes and the performance in mathematics of girls using two different approaches and data. First, we identify families with a preference for boys by using fertility stopping rules in a population of households whose children attend public...

This paper studies the effects of university STEM education on innovation and labor market outcomes by exploiting a change in enrollment requirements in Italian STEM majors. University-level scientific education had two direct effects on the development of patents by students who had acquired a...

Prior research has shown that immigrants make important contributions to US innovation and are more likely than natives to become entrepreneurs. However, there is little evidence on how foreign and native high-skilled workers differ prior to entering the workforce. Moreover, little attention has...

This paper examines the dynamics of the gender gap in high math achievement over the high school years using data from the American Mathematics Competition. A clear gender gap is already present by 9th grade and the gender gap widens over the high school years. High-achieving students must...