<p>I believe Stanford is an interesting case. Its a relatively new school, and it should be judged that way. The fact that its undergraduate reputation is being included with other private institutions that have a 100 year advantage on it is nothing short of amazing. With that said, it is more important to consider future growth. Stanford has a few unmatchable qualities that make it unique and give it a distinct advantage (and disadvantage!) over other schools. I would argue that it is one of those institutions that have a tremendous upside to it.</p>
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I agree that its a better metric than simply counting Nobel Prizes. However, any science academic would argue that any metric that leaves out Caltech should be immediately discredited. The truth is that Caltechs density of high quality faculty is nearly unmatched by any other school. Now, is density the best way to measure overall science quality? I would argue no. Its inherently easier to run a small school than it is to run a big school. In this regard, there are so many factors to consider (philosophy, size, money, rankings, future prospects, etc.) that its silly to rank the schools. People cant just put arbitrary weights on each factor and sum them up like its some simple algebra equation.</p>
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I see a lot of number crunching to develop a metric to decide which undergraduate is better! and then extend this metric to the school as a whole which includes graduate school. How does this make any logical sense?</p>
<p>Elite graduate departments generally do not publish admission statistics for a reason they are cumbersome and they dont tell anything meaningful. If one particular department houses 200 academic giants in a field, it would be easy to see that that department would be willing to admit more students than another department that only has 1 giant and 10 total faculty members. For example, Yales selling point in its PhD admissions was that it only accepted ~5% of its applicants this year. The truth is that number isnt a reflection of the quality of Yales PhD programs as they generally lag behind other institutions with higher admittance rates.</p>