Applying Abroad to Australian Schools?

Hi everyone. I'm an American looking to apply to grad schools in Australia, and I wanted some advice on what the application process looks like/if and what tests I'd need to take. I know in the U.S. most of the programs I'm looking at say "GRE optional" but it's typically strongly requested, and I'm wondering if there's anything similar in Australia.

Specifically I want to go for statistics. Some of the schools I'm looking at in the U.S. also have admission exams for specific programs, but you have to contact them to find out if this is the case. Is there anything like that in Australia as well that I should be aware of?