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A Unified Framework for Rerandomization using Quadratic Forms

基于二次型的再随机化统一框架

When designing a randomized experiment, one way to ensure treatment and control groups exhibit similar covariate distributions is to randomize treatment until some prespecified level of covariate balance is satisfied; this strategy is known as rerandomization. Most rerandomization methods utilize balance metrics based on a quadratic form vTAv, where v is a vector of covariate mean differences and A is a positive semi-definite matrix. In this work, we derive general results…

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Incremental effects for continuous exposures

连续暴露的增量干预效应

Causal inference problems often involve continuous treatments, such as dose, duration, or frequency. However, identifying and estimating standard dose-response estimands requires that everyone has some chance of receiving any level of the exposure (i.e., positivity). To avoid this assumption, we consider stochastic interventions based on exponentially tilting the treatment distribution by some parameter $δ$ (an incremental effect); this increases or decreases the likelihood…

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