That may require prohibitively large sample sizes, i.e. not be testable.
At least for certain populations the sample sizes should be pretty large. Also a smaller-than-desired sample size doesn’t mean it’s not testable, all it means is that your confidence in the outcome will be lower.
proxies generally fare even worse far from the mean than you’d expect from regression alone
Yes, I agree. The tails are a problem in general, estimation in the tails gets very fuzzy very quickly.
Yes, I agree. The tails are a problem in general, estimation in the tails gets very fuzzy very quickly.
And it seems to me that having studied math complete with boring exercises could help with understanding of that somewhat… all too often you see people not even ballpark by just how much necessary application of regression towards the mean affects the rarity.
At least for certain populations the sample sizes should be pretty large. Also a smaller-than-desired sample size doesn’t mean it’s not testable, all it means is that your confidence in the outcome will be lower.
Yes, I agree. The tails are a problem in general, estimation in the tails gets very fuzzy very quickly.
And it seems to me that having studied math complete with boring exercises could help with understanding of that somewhat… all too often you see people not even ballpark by just how much necessary application of regression towards the mean affects the rarity.