While their Democratic opponents in the race for the Arlington County Board are running as a team, Jane H. Bartlett, 45, and Dorothy T. Grotos, 56, Republican-backed independents, are running separate campaigns that reflect their differences in personal styles as well as divisions within Arlington's Republican Party.

Their opponents for two at-large seats on the five-member board are incumbent Chairman Albert C. Eisenberg and lawyer William T. Newman. The top two vote-getters, regardless of party, will be elected Nov. 3.

Political balance has been a common campaign theme for Bartlett and Grotos, who argue that a board dominated by Democrats threatens open government and stifles debate. However, Bartlett, a party moderate, and the more conservative Grotos differ on some key issues and have not presented a united front in their challenge to the Democrats, according to political analysts. Early in the race, each left the other's name off some campaign literature.

Yet, they have not pressed their differences in public forums and have consistently encouraged voters to elect them both.

They "have different bases of support, different circles of friends, different activities," said Michael E. Brunner, the sole Republican member of the County Board and Bartlett's campaign manager. Brunner chose not to seek reelection this year.

He is quick to add, however, that conducting separate campaigns is not a liability. "I think the voters want people who are not Tweedledum and Tweedledee," he said.

In recent years, the Arlington Republican Party has been torn between moderates and conservatives.

Those tensions came to light four years ago when Brunner, a moderate, was elected to the board while his more conservative running mate, Walter L. Frankland Jr., and Grotos, who ran for treasurer, lost.

Afterward, some Republicans accused Brunner of not working hard enough on behalf of his fellow candidates.

Bartlett and Grotos say past dissension in the party has not affected their relationship, which they describe as cordial and which is based on their mutual involvement in civic activities over the years.

Bartlett, under the tutelage of Brunner, is taking a moderate stance on issues and actively appealing to moderates of both parties.

"We have a philosophical approach that is designed towards outreach beyond the Republican Party," said Bartlett, a former president of the League of Women Voters who served six years on the Planning Commission. "The types of people I've attracted are very diverse: federal employes, active Democrats."

Grotos is identified with the more conservative wing of the Arlington Republican Party, particularly on fiscal issues. She is a past president of the conservative Arlington County Taxpayers Association.

Grotos served on the board between 1976 and 1983 and sees herself as a champion of Arlington's neighborhoods. It is a stance that has cost her some support among the county's business community.

"I guess I more than anyone else have listened to neighborhoods when it comes to development questions," Grotos said.

The two have different records on development. Bartlett has favored some commercial projects that Grotos has opposed.

One example was the board's decision to sell revenue bonds to finance a public parking garage next to the Ballston Common shopping mall.

Bartlett, as a member of the Planning Commission, favored construction of the garage, viewing it as key to the mall's success. Grotos, who was on the board at the time, voted against the garage bonds, citing concerns about the county taking on the financial commitment.

Both have criticized the growth of Arlington's bureaucracy but have differing views of county employes.

"I think we have a lot of bright people," Bartlett said. "I'm concerned about keeping them, I'm concerned about working conditions."

Grotos has criticized the "arrogant" way she says some bureaucrats deal with residents. "I certainly am not afraid to stand up to the bureaucracy on behalf of the citizens," she said.

They also have contrasting views of how they would function as a member of the board.

"I can ask questions and seek information that will help me make good decisions on the board," Bartlett said. "I feel I can do that in a cooperative fashion" and "reach a consensus."

Grotos said she "probably would be much more independent as a board member."

"I'm not concerned if I am not part of the club," she said. "I would know who elected me, not the bureaucrats or {other} board members. It's the average citizen."