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Sensitivity Analysis for Marginal Structural Models
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We introduce several methods for assessing sensitivity to unmeasured confounding in marginal structural models; importantly we allow treatments to be discrete or continuous, static or time-varying. We consider three sensitivity models: a propensity-based model, an outcome-based model, and a subset confounding model, in which only a fraction of the population is subject to unmeasured confounding. In each case we develop efficient estimators and confidence intervals for bounds on the causal parameters.
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Stochastic interventions, sensitivity analysis, and optimal transport
Generalized treatment policies built from optimal transport couplings resolve the non-collapsing bound problem and give sharp, efficient sensitivity bounds for stochastic interventions.
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