Chapter 17: Regression to the Mean
- e.g. story of Israeli pilots, praise/condemnation, afterwards better/worse performance
Talent and Luck
- success = talent + luck
great success = a little more talent + a lot of luck
- e.g. pro golfer who does v. well on Day 1 has above-avg talent + above-avg luck, prob’ly less well on Day 2 — regression to the mean
- more extreme original score, more regression expected (extremely good score suggests very lucky)
- regression has no causality, random fluctuations
Understanding Regression
- correlation coefficient (0 to 1) betw. 2 measures desc.’s relative weight of factors they share —
- e.g. correlation betw. size of objects measured English or in metric units is 1 (any factor that infl’s one measure also influences the other; 100% of determinants are shared) — e.g. corr. betw. family income & last four digits of phone number is 0
- correlation & regression are the same thing, viewed diff’ly
- if corr. betw. two scores is imperfect, will be regression to mean — e.g. highly intelligent women tend to marry men less intelligent than they are, but this is not a causal story — corr. betw. intelligence scores of spouses is less than perfect
- regression has an explan’n but not a cause — S1 confuses corr. with cause
- regression a difficult concept, our minds are biased toward causal explan’ns, not stats — so much that S1 nearly blocks S2’s attempt to underst.
Speaking of Regression to Mediocrity
- “She says experience has taught her that criticism is more effective than praise. What she doesn’t understand is that it’s all due to regression to the mean.”
- “Perhaps his second interview was less impressive than the first because he was afraid of disappointing us, but more likely it was his first that was unusually good.”
- “Our screening procedure is good but not perfect, so we should anticipate regression. We shouldn’t be surprised that the very best candidates often fail to meet our expectations.”
^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-^-
Intuitive predict’ns need to be corrected
because they are not regressive and therefore are biased.
No comments:
Post a Comment