John E. Sloan Jr. has been named president of the National Federation of Independent Business. Sloan is president and chief executive officer of First Tennessee Bank in Nashville.

He succeeds Wilson S. Johnson, who has been the federation's chairman of the board and president. Johnson will continue as chairman.

Sloan recently began serving his third term as chairman of the National Advisory Council of the Small Business Administration. He received the 1981 SBA advocate of the year award.

He is chairman of the U.S. Chamber of Commerce small business administration liaison committee and a member of its small business council.

Established in 1943, the federation serves as a lobbying organization for about 560,000 small business owners. Its members employ nearly 60 percent of the country's work force, a spokesman said.

Ralph L. Deacon has been elected president of the Virginia Bankers Association. Deacon is president of Central Fidelity Bank in Charlottesville, and senior vice president of Central Fidelity Banks Inc.

George W. Campbell Jr. has been installed as president of the Arlington County Bar Association. He is a partner in the Arlington law firm of Carman, Evans and Campbell.

Yale J. Wiesberg has been named president of the D.C. Institute of Certified Public Accountants. Wiesberg is an Internal Revenue Service agent.

Sandra L. LaFevre has been elected second vice president of the National Association of Insurance Women. LaFevre is area legislative representative of Nationwide Insurance in Annapolis.

James L. Doud has been named president-elect of the National Association of Elementary School Principals. Doud is principal of the Malcolm Price Laboratory School in Cedar Falls, Iowa.