<p>For undergrad education:
HYPSM = Oxbridge > Columbia, Duke, UPenn = Imperial, LSE > Georgetown, CMU, Notre Dame = Warwick, UCL</p>
<p>For postgrad, it mostly depends on the program, but generally:
HYPSM+Caltech, Berkeley = Oxbridge > Imperial, LSE, UCL, Warwick = Brown, Emory, Vanderbilt, UVa</p>
<p>For overall (combined underdrad and postgrad):
HYPSM = Oxbridge > UPenn, Columbia, Duke > Imperial, LSE, UCL > Warwick = Vanderbilt, Emory, WashingtonU, CMU</p>
<p>For IB placements: HYPSM+Wharton > Duke, Columbia > Dartmouth > Cornell, Berkeley, Brown = LSE > Warwick, Imperial = Georgetown, Notre Dame, Vanderbilt, Emory</p>