a Chi Square is only as valid as the variable values collected, there again it’s already limited when describing parameters in the form of squares.
anyone of us who is willing to say our way is the only way is most likely offending opportunity.
if there is a probability then there’s a possibility and if there’s a possibility then it may have happened somewhere, some how and some place already. in truth I don’t know the absolute of it. bayes theorem is perhaps useful, but i doubt the equation as a whole.