We develop a framework to conduct experiments for estimating direct and spillover effects when units are grouped into mutually exclusive clusters. Crucially, our framework accounts for heterogeneous treatment effects across clusters and heterogeneous cluster sizes, which are pervasive in...

We develop a framework to analyze partial population experiments, a generalization of the cluster experimental design where clusters are assigned to different treatment intensities. Our framework allows for heterogeneity in cluster sizes and outcome distributions. We study the large-sample...