Estimating the prevalance of peer effects and other spillovers

In settings where interference between units is possible, we define the prevelance of peer effects to be the number of units who are affected by the treatment of others. This quantity does not fully identify a peer effect, but may be used to show whether peer effects are widely prevalent. Given a randomized experiment with binary-valued outcomes, methods are presented for conservative point estimation and one-sided interval estimation. To show asymptotic coverage of our intervals in settings not previously covered, we provide a central limit theorem that combines local dependence and sampling without replacement. Consistency and minimax properties of the point estimator are shown as well. The approach is demonstrated on an experiment in which students were treated for a highly transmissible parasitic infection, for which we find that a significant fraction of students were affected by the treatment of schools other than their own.