One Nation leader Pauline Hanson has admitted she was wrong to suggest parents subject their children to a non-existent test for allergies to vaccinations.

Senator Hanson was roundly criticised for her remarks at the weekend linking vaccines with autism, and saying the government's "no jab, no pay" policy was akin to "dictatorship".

She urged parents to "have your tests first" to establish whether their children might react adversely to a vaccine.

"I advise parents to go out and do their own research with regards to this," she said. "No one is going to care any more about the child than the parents themselves. Make an informed decision. What I don't like about it is the blackmailing that's happening with the government. Don't do that to people. That's a dictatorship."