What training would it take to be a true paranormal investigator?

If parapsychology is a serious field, I assume that there are some well known universities out there and some well known professors, that you can get training from.
I know I have seen little diploma mill ads in the back of magazines, advertising their correspondence courses, but I am talking about real scientific training, and real scientists.
I assume you would need training in psychology, physics, scientific methods, technology and many other areas. And not be biased in doing your investigating, as it seems many are.
It seems that there are not many really scientifically trained individuals out there. It also seems that most already believe that all of the events are paranormal, and they are just looking for evidence to back their beliefs up, and they have already made up their minds.
So are there legitimate programs, and legitimate trained professionals out there?
Or are most just plumbers that do it on the side, and are very gullible?