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Multisite trials, in which treatment is randomized separately in multiplesites, offer a unique opportunity to disentangle treatment effect variation dueto "compositional" differences in the distributions of unit-level features fromvariation due to "contextual" differences in site-level features. Inparticular, if we can re-weight (or "transport") each site to have a commondistribution of unit-level covariates, the remaining effect variation capturescontextual differences across sites. In this paper, we develop a framework fortransporting effects in multisite trials using approximate balancing weights,where the weights are chosen to directly optimize unit-level covariate balancebetween each site and the target distribution. We first develop our approachfor the general setting of transporting the effect of a single-site trial. Wethen extend our method to multisite trials, assess its performance viasimulation, and use it to analyze a series of multisite trials ofwelfare-to-work programs. Our method is available in the balancer R package.

Is it who you are or where you are? Accounting for compositional differences in cross-site treatment variation