The Ivy League refers to 8 high-echelon schools in the northeastern US. The term was originally coined to categorize these schools for the purpose of athletics. So the answer to your question?
Stanford is undoubtedly a great school, but isn't an Ivy League school because it doesn't fit the geographic requirement.
Stanford was not founded around the same time as the other Ivy Leagues, and obviously is geographically distant. That makes the difference. "Ivy League" is not synonymous with "top university".
Dartmouth is ranked quite a bit lower than Yale or Harvard. Stanford is certainly right up there near the top of every university ranking list. Other top non-Ivy schools include Caltech, UC Berkeley, and MIT, which depending on the discipline, one could argue are equally good when compared to Yale or Harvard.
There are a lot of really great schools in the united states, however, there can only be 8 "top" schools that are considered Ivy league. The idea behind an ivy league school is that they are of the 8 oldest or in the top 1% of the most financially supported colleges in the eastern part of the united states. Unfortunately, due to geographic limitations, Stanford cannot be included.
They're on the west coast, not the east. Ivy league also represents social elitism, which Stanford definitely possesses, but it's mostly because of the geography. Here is a list of the current ivy league lineup: Brown University, Columbia University, Cornell University, Dartmouth College, Harvard University, Princeton University, the University of Pennsylvania, Yale University Find out more about ivy league schools here: http://en.wikipedia.org/wiki/Ivy_League.
Old Money It takes a long time to grow Ivy all over buildings. The Ivy league schools were probably in business a hundred years before the signing of the declaration of independence. While being the best of the west Stanford is still too new to be an old time school.
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