Here’s a link to the full AAUP 2018-19 faculty salary list:
https://www.insidehighered.com/aaup-compensation-survey?utm_source=ihe&utm_medium=editorial-site&utm_content=header-link&utm_campaign=aaup&institution-name=&professor-category=1591&order=field_avg_salary&sort=desc
The AAUP salary numbers generally are higher than the IPEDS/Chronicle numbers cited above; the rank order is indeed different in many cases. For example, AAUP shows Columbia at #1 with $259,700 as the full professor salary; IPEDS/Chronicle shows Columbia at #4 with $223,427 as the fps. The differences may reflect different reference years, or different accounting methods, or some combination. My understanding is that the both the AAUP and the IPEDS data ultimately come from the colleges themselves.