Problems with constructing tests to accept the null hypothesis

André Rogatko, Steven Piantadosi

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Futility designs bhaveeen proposed and used by constructing classical (non-Bayesian) hypothesis tests such that the decision of therapeutic interest is to accept the null hypothesis.A consequence is that the probability of accepting (failing to reject) the null when the null is false is unknown. Reversal of the conventional null and alternative hypotheses is not required either to demonstrate futility/nonsuperiority, or to align type I and II errors with their consequences. Conventional methods to test whether the response to the investigational agent is superior to a comparative control (superiority trial) are preferable and in the case that the null hypothesis is rejected, the associated type I error is known.

    Original languageEnglish (US)
    Title of host publicationInterdisciplinary Bayesian Statistics, EBEB 2014
    EditorsAdriano Polpo, Francisco Louzada, Marcelo Lauretto, Julio Michael Stern, Laura Letícia Ramos Rifo
    PublisherSpringer New York LLC
    Pages49-54
    Number of pages6
    ISBN (Electronic)9783319124537
    DOIs
    StatePublished - Jan 1 2015
    Event12th Brazilian Meeting on Bayesian Statistics, EBEB 2014 - Atibaia, Brazil
    Duration: Mar 10 2014Mar 14 2014

    Publication series

    NameSpringer Proceedings in Mathematics and Statistics
    Volume118
    ISSN (Print)2194-1009
    ISSN (Electronic)2194-1017

    Other

    Other12th Brazilian Meeting on Bayesian Statistics, EBEB 2014
    CountryBrazil
    CityAtibaia
    Period3/10/143/14/14

    ASJC Scopus subject areas

    • Mathematics(all)

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