Bomb#20
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- Sep 27, 2004
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- California
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- It's a free country.
- Basic Beliefs
- Rationalism
I assumed monotonicity and I assumed the means and SDs in this table. If you know of a distribution with those stats that fails to exhibit the property I described, share.Only if you assume Normal distributions with no skew and you also assume different thresholds on the basis of race.Both -- it's a hypothetical specific example of what's implied by the statistical facts. A Native American with a 509 MCAT is 1.0 standard deviation above the average admitted Native American, so he's very likely to be accepted. An Asian with a 509 MCAT is 0.9 standard deviations below the average admitted Asian, so he's very likely to be rejected.
I don't have any information right now that leads me to conclude that both of those are factual. I do, however, understand the risk and the perception of the latter.
(I saw your earlier exchange with Derec; to construct your counterexample you needed to have one ethnicity's SD much larger than the other's. The two SDs in the table are 6.8 and 6.0.)
