Is There a Correlation between University Health Science and Arts & Humanities Rankings?

I am currently working with a few colleagues on a white paper that examines
the role of arts and humanities at health science oriented campuses. One of
the first topics with which we are concerning ourselves is the role that
arts and humanities play on campuses with leading health science and
medical schools. Is there, for example, a correlation between top-ranked
health science and medical programs and top-ranked arts and humanities
programs?