In some versions the mysterious caller just laughs maniacally instead of making threatening statements.
The number of murdered children (one, two, or three) varies.
Sometimes the girl sees the killer first, then runs from the house and summons the police herself.
In an alternate humorous version (in which the babysitter runs out of the house without first seeing the murderer) the police arrive to find that one of the children upstairs has been making the threatening calls as a prank.
Another variation (combined with elements from The Roommate's Death) involves two babysitters. After the first girl learns from the operator that the calls are originating from the upstairs extension, she runs to the stairway to summon her friend. As she approaches the stairway she hears a thumping sound coming from the stairs -- the sound of the friend, her limbs severed, dragging herself down the stairway. (In some versions the mutilated friend warns the first babysitter that the children have all been murdered and urges her to flee the house.)