Abstract:
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Inferring causal effects from an observational study is challenging because participants are not randomized to treatment. Observational studies in infectious disease research include the additional challenge that one participant's treatment may affect another participant's outcome, i.e., there may be interference. In this paper we will discuss recent approaches to defining causal effects in the presence of interference and propose a new class of causal estimands based on counterfactual propensity scores. Inverse probability-weighted estimators for these estimands are considered. The large sample properties of the estimators are derived, a simulation study showing the finite sample performance of the estimators is presented, and the proposed methods are illustrated by analyzing data from a study of cholera vaccination in over 100,000 individuals in Matlab, Bangladesh.
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