When thousands of poor families were given federal housing subsidies in the early 1990s to move out of impoverished neighborhoods, social scientists expected the experience of living in more prosperous communities would pay off in better jobs, higher incomes and more education. That did not happen. But more than 10 years later, the families’ lives had improved in another way: They reported being much happier than a comparison group of poor families who were not offered subsidies to move, a finding that was published on Thursday in the journal Science. And using the gold standard of social surveys — the General Social Survey, in which researchers have questioned thousands of Americans of all income levels going back to the 1970s — researchers even quantified how much happier the families were. The improvement was equal to the level of life satisfaction of someone whose annual income was $13,000 more a year, said Jens Ludwig, a professor of public policy at the University of Chicago and the lead author of the study.