We estimate the union premium for young men over a period of declining unionization (1980-87) through a procedure which identifies the alternative sources of the endogeneity of union status. While we estimate the average increase in wages resulting from union employment to be in excess of 20% we find that the return to unobserved heterogeneity operating through union status is substantial and that the union premium is highly variable. We also find that the premium is sensitive to the form of sorting allowed in estimation. Moreover, the data are consistent with comparative advantage sorting. Our results suggest that the unobserved heterogeneity which positively contributes to the likelihood of union membership is associated with higher wages. We are unable, however, to determine whether this is due to the ability of these workers to extract monopoly rents or whether it reflects the more demanding hiring standards of employers faced by union wages.