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> So either IQ is useful in classifying both success and failure. No, statistical relationships are not symmetric in general. You shouldn't expect equal absolu
by fractionalhare 6y ago
> So either IQ is useful in classifying both success and failure.
No, statistical relationships are not symmetric in general. You shouldn't expect equal absolute predictive power for events two sigma from the mean in opposite directions if the random variable doesn't have a normal distribution. IQ is normally distributed, but many obvious and conventional measures of success are clearly not.
> Your second argument essentially states that "measures that don't take time into account ... don't take time into account".
This isn't what I'm intending my argument to "essentially state". My second argument is just that drawing conclusions from "top line" statistics like R^2 is dangerous and potentially misleading.
- runarberg 6y agoDo note also that IQ is normally distributed only by design. There is no convinsing evidence that I have seen for any cognitive ability being normally distributed, let alone general intelligence—however they define it. Usually cognitive abilities have a step skew to the right. And even IQ fails the sniff test for normal distributions as you can imagine that the difference between 70 and 100 is far greater then the difference between 100 and 130.