Having done that, get another load of people to bang on every door in the 50 neighbourhoods in the treatment arm, and offer them money to replace their windows and their soil. (I don't know whether you can get away with not replacing windows & soil for the residents who don't have kids in the study. If you could skip them you'd save a lot of money.) Then do the cleanup jobs.
A study sort of like this was done in Rochester, and they found that nothing they did changed blood lead levels very much and so they didn't learn anything from it. I guess they could go further with actually replacing people's houses.
A friend has been asking my views on the likelihood that there's anything to a correlation between changing levels of lead in paint (and automotive exhaust) and the levels of crime. He quoted from a Reason Blog:
I responded with the following:
He's apparently continued to pursue the question, and just forwarded these remarks from Steven Pinker that I thought were very illuminating, and probably deserve a place in this community's toolkit for skeptics. Pinker's main point is that the association between Lead and crime is a long tenuous chain of suppositions, and several of the intermediate points should be far easier to measure. Finding correlations at this distance is not very informative.
http://stevenpinker.com/files/pinker/files/pinker_comments_on_lead_removal_and_declining_crime.pdf
Does the phrase "long-chain correlation" stick in your head and make it easier to dismiss this kind of argument?