nhaliday + acm + biodet   7

Pearson correlation coefficient - Wikipedia
https://en.wikipedia.org/wiki/Coefficient_of_determination
deleted but it was about the Pearson correlation distance: 1-r
I guess it's a metric

https://en.wikipedia.org/wiki/Explained_variation

http://infoproc.blogspot.com/2014/02/correlation-and-variance.html
A less misleading way to think about the correlation R is as follows: given X,Y from a standardized bivariate distribution with correlation R, an increase in X leads to an expected increase in Y: dY = R dX. In other words, students with +1 SD SAT score have, on average, roughly +0.4 SD college GPAs. Similarly, students with +1 SD college GPAs have on average +0.4 SAT.

this reminds me of the breeder's equation (but it uses r instead of h^2, so it can't actually be the same)

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may 2017 by nhaliday
Information Processing: Assortative mating, regression and all that: offspring IQ vs parental midpoint
Assuming parental midpoint of n SD above the population average, the kids' IQ will be normally distributed about a mean which is around +.6n with residual SD of about 12 points. (The .6 could actually be anywhere in the range (.5, .7), but the SD doesn't vary much from choice of empirical inputs.)

possible to calculate the residual variance from first principles?

Some data on regression: http://infoproc.blogspot.com/2010/10/some-data-on-regression.html
hsu  parenting  iq  regression-to-mean  street-fighting  explanation  methodology  assortative-mating  scitariat  variance-components  biodet  nibble  behavioral-gen  multi  data  stories  education  acm
november 2016 by nhaliday