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A novel covering principle was recently proposed to address the multiplicity issue in the multiple hypotheses testing with a hierarchical structure. In this article, a sieve method is proposed to decompose the family of hypotheses into subfamilies. A Shiny web app in R is developed which makes it easier for users to build the objective-tailored multiple testing procedure based on the covering principle by a smart phone or a tablet with a web browser. The proposed methods are applied to two real clinical trials, demonstrating the flexibility and greater power than the popular gate-keeping method.

Applications of covering principle to clinical trials with multiple objectives