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The wikipedia gives a reasonable take:

"Mathematician Jordan Ellenberg argues that Simpson's paradox is misnamed as 'there's no contradiction involved, just two different ways to think about the same data' and suggests that its lesson 'isn't really to tell us which viewpoint to take but to insist that we keep both the parts and the whole in mind at once.'"

My own take is that any statistic has a value and a strength (in the case of averages, strength can be the number of instances averaged, for instance). You can have to keep in mind both.

https://en.wikipedia.org/wiki/Simpson%27s_paradox




> its lesson 'isn't really to tell us which viewpoint to take

When the analysis is intended to inform a decision it’s important to take the appropriate viewpoint.

https://ftp.cs.ucla.edu/pub/stat_ser/r414.pdf

https://www.unige.ch/cisa/files/9616/7501/5107/CISA_BM_stats...




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