In this study, the percentage of certificates issued and jobs held by women in Pennsylvania from 1970 through 1984 for the positions of superintendent, assistant superintendent, secondary principal, and elementary principal were compared. Findings reveal that the percentage of women being certified each year is increasing in much greater proportion than the percentage of women who actually hold positions at each administrative level. Data on the number of withdrawals from each position indicate numerous opportunities for the hiring of women. If, during the past 15 years, a certified woman had been hired whenever a position became available, 73 percent of the administrative jobs would now be held by women. Yet the latest data available show that only 3.3 percent of superintendents, 7.6 percent of assistant superintendents, 3.5 percent of secondary principals, and 16.9 percent of elementary principals are women. Possible reasons for this disparity include differences in aspiration levels of men and women and internal or external barriers to achieving administrative positions. Strategies for overcoming these barriers are discussed. References are included, along with statistical tables and charts. (Author/TE)