An analysis of US domestic migration via subset-stable measures of administrative data

How does the likelihood of moving across US regions vary with changes in household characteristics, and how does the risk of a change in status vary given a move? Statistics aimed at these questions are calculated for households who earned formal market income in the US, 2001–2015, totaling about 1.7 billion observations with 82.7 million long-distance moves, and covering statuses such as income, school enrollment, age, number of children, local cost of living, and retirement or marital status. The key theoretical result of this article shows that the Cochran–Mantel–Haenszel statistic is the unique aggregate risk ratio within a broad class that has the “subset stability” property: If a statistic has value $$s_1$$ s 1 for one subset and $$s_2$$ s 2 for another, then the statistic for the union of the two sets is between $$s_1$$ s 1 and $$s_2$$ s 2 . A sequence of pseudo-experiments generate a wealth of tests regarding the relationship between moving and a broad range of household characteristics, for the full population and salient subsets, with some focus on the characteristics of the 44.2% of movers who see negative income returns relative to the counterfactual of staying.