We present a theorem helpful in estimating the mean and variance of a linear function with arbitrary multivariate randomness in its coefficients and variables. We derive a generalized decomposition result from two random linear functions in which the result can be applied to most models using...

In the book Myth and Measurement, Card and Krueger (1995) examine the economic impact of the 1989 minimum wage hike on the welfare of 110 firms which employ a disproportionate number of minimum-wage workers. Their results show mixed evidence that excess returns associated with news about the...

We assess the effects of U.S. tax policy reforms on inequality by applying a new decomposition method that allows us to disentangle mechanical effects due to changes in pre-tax incomes from direct effects of policy reforms. While tax reforms implemented under Democrat administrations, in...

We develop a new approach to the decomposition of income risk within a nonstationary model of intertemporal choice. The approach allows for changes in income risk over the life-cycle and with the business cycle. It requires only repeated cross-section data and can allow for mixtures of...

Probit and logit models typically require a normalization on the error variance for model identification. This paper shows that in the context of sample mean probability decompositions, error variance normalizations preclude estimation of the effects of group differences in the latent variable...

We analyze four methods to measure unexplained gaps in mean outcomes: three decompositions based on the seminal work of Oaxaca (1973) and Blinder (1973) and an approach involving a seemingly naïve regression that includes a group indicator variable. Our analysis yields two principal findings....

This paper shows how difficult it is to study the roles of discrimination and unobserved skills when studying changes in racial and gender wage gaps over time by examining merits and shortcomings of a popular decomposition method by Juhn, Murphy and Pierce (1991). The JMP method shows that wage...

There is a large literature documenting that workers in exporting firms receive higher wages on average than workers in non-exporting firms. This is also the case for Denmark, where the unconditional exporter wage gap is 3 percent. However, little is known about the sources behind the gap: Is it...