how to judge a phd program
When people look at PhD programs, they usually base their judgment on the fame of its scholars or the placement of graduates. Fair enough, but any seasoned social scientist will tell you that is a very imperfect way to judge an institution. Why? Performance is often related to resources. In other words, you should expect the wealthiest universities to hire away the best scholars and provide the best environment for training.
Thus, we have a null model for judging PhD program (nothing correlates with success) and a reasonable baseline model (success correlates with money). According to the baseline, PhD program ranks should roughly follow measures of financial resources, like endowments. Thus, the top Ivy League schools should all have elite (top 5) programs in any field in which they choose to compete, anything less is severe under performance. Similarly, for a research school with a modest endowment to have a top program (say Rutgers in philosophy) is wild over performance.
According to this wiki on university endowments, the top ten wealthiest institutions are Harvard, Texas (whole system), Yale, Stanford, MIT, Texas A&M (whole system), Northwestern, Michigan, and Penn. This matches roughly with what you’d expect, except that Texas and Texas A&M are top flight engineering and medicine but much weaker in arts and sciences (compared to their endowment rank). This is why I remain impressed with my colleagues at Indiana sociology. Our system wide endowment is ranked #46 but our soc programs hovers in that 10-15 range. We’re pulling our weight.