Is there any published work that quantifies the roles of different factors on rising tuition in the U.S. over the past half-century?

I've heard a number of explanations bandied about, such as:

• increases in admin overhead
• IT infrastructure costs
• Baumol's cost disease
• more expensive facilities
• reductions in state funding over time (public institutions)

What I'm looking for is some quantitative analysis that tries to estimate how much each of these different factors contributes to the average increases in tuition over time.