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Randomized controlled trials (RCTs) identify treatment effects without confounding but are often small, whereas observational studies (OBS) are large but may be confounded. Many estimators combining a small RCT with a large OBS have been developed for the average treatment effect (ATE) and the conditional ATE (CATE). H...
This work proposes a 5+3 design for HCT sample-size determination based on an inverse probability weighting estimator of the average treatment effect, and establishes the asymptotic distribution of the estimator and proves that its variance is determined by these design parameters under the proposed working models.
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