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 | | Subject: Simpson's paradox, continuous-case Date: Sun, 16 Apr 2000 10:57:38 -0700 Newsgroups: sci.math,sci.stat.math A general form of "Simpson's paradox" is as follows: Random variables X,Y,Z, are distributed such that, for y,z in the support of Y,Z, E(XY=y) is strictly increasing in y, but, for every z, E(XY=y,Z=z) is strictly decreasing in y. |
 | | Simpson's paradox is also know as "Ecological Fallacy," and I think that the examples under that name may be more apt to be continuous. |
 | | writes: > A general form of "Simpson's paradox" is as follows: > > Random variables X,Y,Z, are distributed such that, > for y,z in the support of Y,Z, > > E(XY=y) is strictly increasing in y, > but, for every z, > E(XY=y,Z=z) is strictly decreasing in y. |
| www.math.niu.edu /~rusin/known-math/00_incoming/simpsons (1352 words) |
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