Sorry for butting in, but don't you find it strangely convenient that your psi effect is defined just so as to move it outside the domain of scientific inquiry? Do you anticipate ever finding a way to reliably distinguish it from random chance, or do you anticipate forming another excuse, ahem, reason why you should have expected from the start that the way you just tried would not reliably show it? I'd claim you're chasing invisible dragons, but I find it incredulous that you haven't thought of the comparison yourself, which leaves me confused. How does an effect look like that is real but cannot be distinguished from random chance by any reliable method? How would you extract utility from such an effect? And is it worth it to break your tools of inquiry that otherwise work very well, just so you can end up believing in an effect that is true but useless? Food for thought.