Janice Rule, an actress in film and onstage who became a psychoanalyst late in her career, died on Friday at her home in Manhattan. She was 72. Born in Norwood, Ohio, Ms. Rule studied ballet and began dancing in Chicago nightclubs in her teens. She soon attracted attention in Hollywood and made her film debut in 1951 in "Goodbye, My Fancy," with Joan Crawford and Robert Young. She was pictured on the cover of Life magazine on Jan. 8, 1951, as a rising young actress. Her films in the 1950's included "Starlift," "Holiday for Sinners," "A Woman's Devotion" and "Bell,...