I think that it would be rather hard to test a pet psychic, actually, because all they do is (supposedly) tell you what your pet is thinking, and it's very hard to refute that. They go, "Your budgie says he wishes he had a little friend," and how are you going to argue with that? You can't ask the budgie yourself, "Well, did you tell this lady you want a friend or not?"
The easiest thing to test, IMO, is dowsing. This is because there are lots of people out there who do dowsing, and it's easy to find someone, and because the test itself is ridiculously easy. Dowsers claim that they can find water with a stick or a bent coat hanger--fine, then you get some coffee cans, and you put water in some of them, and sand in the rest (so they're weighted down, same as the ones with water), and put the lids on all of them, and then you ask the dowser to tell you which ones have water in them.
Usually you line the containers up on the ground, with big numbers on them, like #1, #2, and so on, so he can walk up and down, because that's how dowsers usually work. Then you give the dowser multiple tries, and you figure out how many he got right on each try, then you average his results. I can predict that his results will be the same as if he just guessed randomly.
And it's very important that the person who is standing there walking along with the dowser and keeping score on a clipboard does NOT know which coffee cans have water in them. This is because he could unconsciously be giving the dowser visual cues whenever he approaches one of the "right" ones, by his facial expression looking hopeful, like, "Yes! That's one!" So if the scorekeeper doesn't know which ones are "hits", then you remove that possibility.
The person who fills up and arranges the cans goes to where the dowser can't see him, like into the house, or goes and sits in the car.
There is also a ton of information here on JREF about dowsing tests and understanding your statistical results, which I am sure LibraryLady will be happy to tell you where to look in the stacks to find.
Another reason to test dowsing instead of pet psychics is that dowsers never seem to have their feelings hurt when they fail the test. They
always insist that it wasn't their fault, and they find some excuse for why they flunked. Pet psychics, on the other hand, sometimes take it very personally if you criticize them, if you even
suggest that they can't really talk to animals telepathically.
So your dowser will walk away from your experiment perfectly happy and self-confident. And don't be surprised when you fail to convince him that he doesn't really have the power to find water with his bent coat hanger, because you won't.
