Why in the heck does a demonstration of telekinesis need a statistical analysis?
Show me something that moves by thoughts. Even if it's an undersea, unexplained mass sponge migration. Either something moved, or it didn't.
Goes back to the fact that this is not why people believe(d) in telekinesis in the first place, the claims were that people could levitate, move macro-scale objects e.g. balls, pencils and so on. If this effect was real there is nothing to tie it into telekinesis.