allowing the marginal effects on children's outcomes of an increase in family income to vary across the income distribution …. Our nonlinear IV and fixed-effect estimates show an increasing, concave relationship between family income and children …

variable (IV) estimation. We show that tests for treatment effects, selection bias, and treatment effect heterogeneity are … causal effect of family size on children's education. Following common practice, a linear IV estimator has been used …, assuming constant marginal effects of additional children across family sizes. We find that the conclusion of no effect of …

Recent studies that aim to estimate the causal link between the education of parents and their children provide …. Finally, we conclude that income is a mechanism linking parent's and children's schooling, that can partly explain the …

variable (IV) estimation. We show that tests for treatment effects, selection bias, and treatment effect heterogeneity are … causal effect of family size on children's education. Following common practice, a linear IV estimator has been used …, assuming constant marginal effects of additional children across family sizes. We find that the conclusion of no effect of …