Simpson's paradox again

Deepai.org have a post about our paper on Simpson's paradox (we wrote this in 2015 but only just uploaded it to arxiv). The full paper is here.

The paradox is covered extensively in both “The Book of Why" by Pearl and Mackenzie (see my review) and also David Spiegelhalter’s “The Art of Statistics: How to Learn from Data”(see my review). Speigelhalter's book contains a particularly good example of Cambridge University admissions data:

Overall the acceptance rate was higher for men and than women, but in each subject the rate was higher for women than men. This is explained by the observation that women were more likely to apply for those subjects where the overall accepance rates were lower. In other words the relevant causal model is this one:

See also: Doctoring Data