One clarification/suggestion: Where you give sort of ‘null results’, e.g.,
There was no correlation with SAT scores. And notably, there was no correlation with studying economics, which suggests that these effects may not necessarily be driven by having learned expected value theory.
Can you do more to illustrate the confidence/credible intervals on these (above, correlation coefficient), so we can get a sense of ‘how tightly bounded the result is’ and how much confidence we can have that ‘any difference is likely to be small, at most’?
To ~belabor the point, it would be nice to get a sense of the extent to which results like these (and others like ‘no significant correlation’ or ‘no reliable relationship’) could be simply by an (un)lucky draw in the context of a lack of statistical power. Or, conversely, are these ‘real tightly bounded nulls’.
Very detailed and interesting, thanks.
One clarification/suggestion: Where you give sort of ‘null results’, e.g.,
Can you do more to illustrate the confidence/credible intervals on these (above, correlation coefficient), so we can get a sense of ‘how tightly bounded the result is’ and how much confidence we can have that ‘any difference is likely to be small, at most’?
To ~belabor the point, it would be nice to get a sense of the extent to which results like these (and others like ‘no significant correlation’ or ‘no reliable relationship’) could be simply by an (un)lucky draw in the context of a lack of statistical power. Or, conversely, are these ‘real tightly bounded nulls’.