Sometimes it's nice, and reassuring, to see some unsurprising results emerge from statistical exercises.
Brian Jacob, Brian McCall and Kevin Stange have recently produced a paper that analyses the determinants of college choice in the US. Amongst these determinants are college expenditures (per full-time equivalent student) on amenities (what the authors term 'country club' facilities) and on instruction. Unsurprisingly, spending on amentites attracts students. But it is a less strong attractor for the ablest students. Spending on instruction, meanwhile, positively attracts only the ablest students (and actually puts other students off). This means that different colleges' spending patterns can be rationalised by looking at the types of students that they are attracting (and are looking to attract in future).