is there a difference between a full tuition waiver and a full scholarship for doctoral students?
Not sure. Some schools offer tuition waiver w/no fees, pay health insurance, and pay a stipend for teaching.
My D received a tuition waiver for PhD study. It included all fees except health insurance. And then she receives a teaching stipend for living expenses. But all schools are different. She had to compare offers from the three schools that accepted her. Some paid insurance. Some paid fees. Some included a summer stipend.