There was a profiler who had given her analysis on the case. She used things Casey had said and done to come up with that analysis. I do put a lot of weight on this type of thing. Profilers are fully trained to look for certain things and try interpret what it all means.
As for the psychic, well, they had one lady who claimed to have received a message from Caylee. There were also some psychics in Florida searching with Cadaver dogs early on. I think they got into some legal troubles while there, though.
I put NO weight on psychics, but profilers are an entirely different story. I can concur with the others, Dayle Hinman is pretty awesome.
For the record, I don't think LE brought in either one. If they did, they certainly have not released that information. I do think they asked the psychic who claimed to receive the message directly from Caylee for that information, though. Hey, I guess you just never know. It's just a guess on my part, but I don't think it turned out to be anything.