> Consumer price index is probably the most common one and it doesn’t include housing
Almost all BLS price indices, including CPI, include housing. (CPI measures the “rent of primary residence, owners' equivalent rent, utilities, bedroom furniture” [1].)
[1] https://www.bls.gov/opub/hom/cpi/concepts.htm#the-cpi-as-a-c...
Serves me right for asking AI.
Of course, CPI doesn’t capture whether people have roommates or have made other adjustments to keep their housing costs within income limits.