Alicia McConnell, 18, a freshman at the University of Pennsylvania, scored 18 times before Gail Ramsay of Philadelphia could get a point yesterday and won the women's national open squash championship at the Washington Squash Racquets Club.

Ramsay, the nation's No. 3-ranked player, was shut out, 15-0, by the second-ranked McConnell in the first game. In the second and third games, Ramsay put up more resistance, even taking the lead for a short time in the second game. But she still lost, 15-11, 15-12.

In the 35-and-over division, second-seeded Mari Ann Greenberg of Merrimac, N.Y., was pushed to four games by No. 3 seed Pearla Manapol of Washington before winning, 5-15, 15-7, 15-9, 18-17.

Pittsburgh's Goldie Edwards, who gave McConnell her biggest challenge in the open semifinals Saturday, defeated Aggie Kurtz of Hanover, N.H., 15-9, 15-7, 15-8, to take the 40-and-over title.

McConnell appeared almost emotionless as she sent the offbalance Ramsay all over the court after her drop and corner shots. Ramsay, who berated herself much of the match, was forced to return many of McConnell's powerful serves after they bounced off the back wall.

Ramsay was so devastated by McConnell's serve that, when she finally managed to score in the second game, she loudly applauded herself.

"I was concentrating very intently from the very first," said McConnell, who has won the national junior championship five times. "I just tried to hit her with everything I had--all my different shots and a lot of power."

In the 35-and-over competition, Greenberg, who finished fourth in the open division, overpowered the 5-foot-1, 100-pound Manapol. Manapol won the first game easily by finessing her opponent with drop shots, but Greenberg rocked her back on her heels the next two games to go on top, 2-1.

Greenberg trailed in the last game, 7-3, then outscored Manapol, 8-1. Manapol rallied to tie at 13, 14 and 17 before Greenberg powered a shot past her to win the match.

Edwards' victory in the 40-and-over category was her seventh in eight years. "This was the first year I had competition in the final," she said. "Usually it's ridiculous how easily I win."