I didn't find this information on the website you listed.
Someone once told me you cal tell the rate of home ownership here by looking at what percentage voted for a proposition related to property tax or bonds. In LA, 60+% vote against bond, so the assumption is that 60+% are renters. Interesting concept.
You can take a look at home ownership data in Los Angeles by neighborhood here:
It has home ownership data, home prices, etc.
Hope that helps