Although sociologists, demographers, and economists are generally agreed that economic independence enhances the likelihood that men will marry, there is disagreement concerning its effect on women. The view that economic independence weakens women's incentive to marry has probably been the most influential, although it has been subjected to few rigorous empirical tests with individual-level data. In the present paper we examine the predictors of forming a first cohabiting union, of progressing from this union to marriage, and of marrying without previously cohabiting by applying hazard regression to event-history data from the 1992 Swedish Family Survey, supplemented by earnings data extracted from the national taxation register. We test a battery of measures that reflect people's past, current, and potential attachment to the labour market. We find that the correlates of union formation for women are largely indistinguishable from the correlates of union formation for men, and that far from being less likely than other women to cohabit or to marry, women with a greater degree of economic self-sufficiency are more likely to do so.