A diffusion model for mosquito control trials with spillover: application to calculations of power, sample size, and bias

Abstract

The analytical approach can be incorporated into power calculations for CRTs with geographical spillover, whenever the diffusion model is considered an acceptable approximation. The example suggests that the key to obtaining adequate power in the presence of spillover is the inclusion of a sufficiently large number of clusters, even if only a small amount of data can be obtained from each cluster. The method can be implemented in a publicly available R package.