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"The key to understanding the paradox is that the players did not bat against the same set of pitchers."

This is misleading. I am baseball ignorant but I feel this is a contrived and bad example for Simpson's paradox.

(UC Berkeley gender bias example is much better)




There you have something like "The key to understanding the paradox is that the schools did not have the same set of applicants.” It seems similar.


My take:

The key to understanding the paradox is that women apply mostly to popular departments therefore women are declined more often than man who apply more to unpopular departments.


Ok, women and men applying to a different mix of easy/hard departments - not so different from the two players batting against a different mix of easy/hard pitchers.


Yes, easy/hard pitchers works better than right-handed/left-handed pitchers.

Don't know anything about baseball, I would have assumed teammates battle the same pitchers.




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