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Re: Characterizing features of various PhD programs?
To what end? Why do you believe those things about MIT and Harvard? Besides, unbiased comparison between two programs is very difficult, as no one has been to more than one.
I would argue that the breadth and depth of education between two similarly-ranked schools is immaterial. A more important distinction here is number of professors you want to work with and/or strength of fields of specialization.
Finding out this information, for me, was a good exercise in getting to know the programs better and helped me form my own preferences. I don't think anyone would complain if you compiled a list of fields of specialization at the top 100 schools, but I doubt it's the best use of your time.