I was thinking also if they were covered by #3, but I am not sure: >> 3) A lack of other plausible explanations This means that there are not other parameters

I was thinking also if they were covered by #3, but I am not sure: >> 3) A lack of other plausible explanations This means that there are not other parameters involved, satisfying the other two criteria, that can also plausibly "explain" the measured effect. In the example I gave, there may not be any such other available correlation. That the analyst picked the plausible cause by hunting though a large number of others is by itself not a plausible explanation asked for by #3.