It took a little playing around to figure out some of the graphics. The donuts indicate which group (men or women) was admitted more in each kind of department

It took a little playing around to figure out some of the graphics. The donuts indicate which group (men or women) was admitted more in each kind of department. Play around with the sliders and you can see it toggle in the combined row, while simultaneously a yes/no answer updates after the question "Simpson's paradox?" It would really help if yes/no was highlighted. Basically, you can make the paradox appear by dropping the % of women applying to easy departments. You can't make the donut switch in easy or hard departments individually... that's the whole point: women have a slight advantage in each. Honestly, I found the "Proper Pooling" section to have the most intuitive explanation. Combined, there is a bias. By department, there is no bias. The reason is clear: very few women applying to easier departments.