# Improving Efficiency of Tests for Composite Null Hypotheses

@inproceedings{Leibovici2021ImprovingEO, title={Improving Efficiency of Tests for Composite Null Hypotheses}, author={Yotam Leibovici and Yair Goldberg}, year={2021} }

The goal of mediation analysis is to study the effect of exposure on an outcome interceded by a mediator. Two simple hypotheses are tested: the effect of the exposure on the mediator, and the effect of the mediator on the outcome. When either of these hypotheses is true, a predetermined significance level can be assured. When both nulls are true, the same test becomes conservative. Adaptively finding the correct scenario enables customizing the tests and consequently enlarges their efficiency…

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