In this paper we study the process of children's skill formation. The identification of this process is challenging because children's skills are observed only through arbitrarily scaled and imperfect measures. Using a dynamic la- tent factor structure, we provide new identification results...

A recent and growing area of research applies latent factor models to study the development of children's skills. Some normalization is required in these models because the latent variables have no natural units and no known location or scale. We show that the standard practice of...

Using every major nationally-representative dataset on parental and non-parental care provided to children up to age 6, we quantify differences in American children's care experiences by socioeconomic status (SES), proxied primarily with maternal education. Increasingly, higher-SES children...

Using every major nationally-representative dataset on parental and non-parental care provided to children up to age 6, we quantify differences in American children's care experiences by socioeconomic status (SES), proxied primarily with maternal education. Increasingly, higher-SES children...

We examine instrumental variables estimation in situations where the instrument is only observed for a sub-sample, which is fairly common in empirical research. Typically, researchers simply limit the analysis to the sub-sample where the instrument is non-missing. We show that when the...

The linear IV estimator, in which the dependent variable is a linear function of a potentially endogenous regressor, is a major workhorse in empirical economics. When this regressor takes on multiple values, the linear specification restricts the marginal effects to be constant across all...