The venue and Australian National Drag Racing Association posted to social media: "Our thoughts are with the driver and their family."
Police say they would like to speak with anyone who saw or took video of the crash, which happened at the end of Anita's run.
Anita's father Ian earlier said the family was thankful for the "love and support" of friends, family and the motorsport community, Perth Now reported.
"Our baby girl is getting the best of care," he said. "We are all hurting at this time."
Pictures of Anita on family members' social media profiles show the young motorsport enthusiast with her purple dragster emblazoned with the words "Pony Power".
The dragster she was driving was powered by a 210cc engine.