Where do Rice and Vandy fall?

I'm not obsessed with rankings/tiers lol, but I was genuinely curious. I was always under the impression that these schools were basically non-ivy ivies, as prestigious as maybe Cornell or UPenn.

Recently though, I've been hearing they are T20 tier, alongside USC, NYU, etc. Not quite ivy plus like Duke or UChicago. So I'm curious. Where do they fall?