Saturday, May 31, 2014

17 - Chapter 17: Regression to the Mean

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.”
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Intuitive predict’ns need to be corrected because they are not regressive and therefore are biased.


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