SimpsonsParadox.md (868B)
1 # Simpson's Paradox 2 3 Ch 1.1 4 5 **Definition:** Simpson's paradox is the seeming paradox that some outcome can be overall more common despite all individual cases making it seem less likely. 6 7 Consider the case of some batters and batting averages shown below: 8 9 Batter 1 | Batter 2 10 11 2020 .4 .3 12 2021 .5 .49 13 2022 .2 .19 14 15 One can see that the second batter did worse in every season, but if the number of at bats in the 2021 season was far higher for batter 2 than batter 1 then it is possible their overall batting average was higher despite them having a lower percentage in each season. 16 17 There are examples of this in MIT's admissions (more females apply to more difficult majors thus they have lower admission rates) as well as some airline stuff and sports related things signifying that it is not super uncommon and should be something to look out for.