The NHMRC Clinical Trials Centre at the University of Sydney has multiple positions available for biostatisticians. Positions are available for qualified individuals at both entry level and experienced level. If you are interested please see the job postings on the university's career site:

entry level: link1

experienced level:  link2

Applications close 26 July 2022. Note that visa sponsorship is not available for these positions so applicants will need to have the right to work in Australia.