I don&#x27;t think this is really a case of Simpson&#x27;s paradox.<p>What we&#x27;re seeing is that female students at Stanford are less concentrated on a single major than the male ones. As a result, their top pick isn&#x27;t as high as the male top pick. I&#x27;d guess that the distribution of female majors is higher entropy than the male one.<p>Simpson&#x27;s paradox would be if there was some second confounding variable that corelated to gender which was causing these results. There might be, but I&#x27;m not seeing it.