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Superiority, Non-inferiority, Equivalence Test, and Innovative Equivalence Test

Published:27 October 2021Publication History

ABSTRACT

In pharmaceutical and medical studies, randomized controlled trials (RCTs) aim to prove that a new treatment has better or superior efficacy than standard treatment or placebo. In fact, RCTs can also be used to evaluate the efficacy of a new treatment having similar or equivalence efficacy, or not worse or non-inferior efficacy depending on the objectives of the research. Meanwhile, the non-inferiority trials are more frequently found in research. However, the equivalence trials are another efficacy that RCTs would like to know sometimes. The purposes of this article are to provide a basic understanding for readers about the distinctions among the types of research, statistical hypothesis testing, the interpretation of hypothesis testing as well as the differences between statistical significance and clinical significance and also introduce an innovative equivalence test calls 2-df for shift-scale equivalence test.

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  • Published in

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    ICoMS '21: Proceedings of the 2021 4th International Conference on Mathematics and Statistics
    June 2021
    102 pages
    ISBN:9781450389907
    DOI:10.1145/3475827

    Copyright © 2021 ACM

    Publication rights licensed to ACM. ACM acknowledges that this contribution was authored or co-authored by an employee, contractor or affiliate of a national government. As such, the Government retains a nonexclusive, royalty-free right to publish or reproduce this article, or to allow others to do so, for Government purposes only.

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    New York, NY, United States

    Publication History

    • Published: 27 October 2021

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