For a pk experiment that's been running at Princeton for years google Jahn and Dunne at the PEAR lab. It seems to have produced and replicated small but statistically significant results.
I don't understand why skeptics feel so comfortable pointing to probability every time something unexplainable happens, because that it is actually very irrational. Probability makes no meaning whatsover out of peculiar events that have no obvious cause. Even the simplest bivalent acts do not actually conform to probability predictions, and the more complicated ones are not even analyzable in terms of probability, because reality is basically a chaotic, emergent system.
If I am talking about a dream I had about a golden scarab, and then a rare golden scarab flies at the window repeatedly, probabality theory could not begin to cope with that. The skeptic can then say it was a coincidence, which is tautological, and as meaningless as saying it was god who sent it. Or they could say the person was lying, which is of course an equally untestable statement, since they weren't there. It's the skeptics who can't say "I don't know why or how that happened" because they can't bear not to have an explanation.
Also, just because we don't know the cause of something doesn't mean it doesn't happen, that is perfectly obvious. Nobody knows why a changing electric field produces a magnetic field and vice versa, they just know that it does and you can use it to start an engine. Nobody has the faintest idea how gravity works, they've been searching for a vector for years but haven't found one. Funny how they still believe in it though.
And it is not logical to say that because something can't be replicated under laboratory conditions, it doesn't happen. I, for example, doubt that I could become sexually aroused in a lab, but that does not mean I never get turned on. Saying that non-testable events or experiences are in some way not valid is actually an emotional and NOT a rational response.
And last but not least, ALL evidence is anecdotal. The difference is the conditions under which the observation is made, and who makes the observation. Even if 100 scientists all observe the same thing, they are each having a subjective experience. We're supposed to believe that because they are trained to be objective and because they all agree on the observation, they are somehow removed from the limitations of human perception and subjectivity. But that is also an irrational belief.