The Canterville ghost makes a number of attempts to scare the Otis family. In Chapter Two, for instance, he reapplies the blood stain in the library, which the family have cleaned off. In the same chapter, he appears to the family late at night by walking down the corridor, rattling his chains.
In Chapter Three, the ghost tries to frighten the family by wearing an antique suit of armor, which stands in the downstairs hallway. He also creeps up to Washington's room but is confronted by an unfamiliar "specter" which, ironically, frightens the ghost away.
In Chapter Four, he dresses as one of his alter-egos, "Black Isaac," in an attempt to frighten the twins. Later, he adopts the disguise of "Jonas the Graveless" and appears outside the library.
In all of these attempts, however, the Canterville ghost is unsuccessful. The family are not afraid of him and, in most cases, the twins outmaneuver him by creating traps to humiliate and drive him away.
It is one of the story's most ironic (and comical) notions that the ghost is more afraid of the family than they are of him.