I'm usually not a stickler for details, but Stanford is not an Ivy League school.
Most people would agree that Stanford is better than many of the Ivy schools.
[No, I did not go to Stanford]
http://colleges.usnews.rankingsandreviews.com/best-colleges/...
Without debating quality, even if it was 10x better it would still remain "the closest thing to an Ivy League school".
As a graduate of Dartmouth, I see your point. (Of course, opinions are...)