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Between 1973 and 1988, private-sector unionism fell by 9.5 percentage points more for men than women, and the gender wage gap (one minus the ratio of female to male wages) decreased by.09. These trends support two findings: First, unionism fell more slowly for women primarily because the probability of unionism fell most rapidly in jobs dominated by males. Second, the greater decline in unionism among males is responsible for approximately one-seventh of the.09 decline in the gender wage gap.
Even et al. (Fri,) studied this question.