TY - GEN

T1 - Problems with constructing tests to accept the null hypothesis

AU - Rogatko, André

AU - Piantadosi, Steven

N1 - Funding Information:
This paper is supported in part by the National Center for Research Resources, Grant UL1RR033176, and is nowat the National Center forAdvancingTranslational Sciences, Grant UL1TR000124 (AR and SP), Grant 5P01CA098912-05 (AR), Grant P01 DK046763 (AR) and Grant 2R01CA108646-07A1 (AR). The content is solely the responsibility of the authors and does not necessarily represent the official views of the NIH.
Publisher Copyright:
© Springer International Publishing Switzerland 2015.

PY - 2015

Y1 - 2015

N2 - 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.

AB - 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.

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U2 - 10.1007/978-3-319-12454-4_4

DO - 10.1007/978-3-319-12454-4_4

M3 - Conference contribution

AN - SCOPUS:84924034345

T3 - Springer Proceedings in Mathematics and Statistics

SP - 49

EP - 54

BT - Interdisciplinary Bayesian Statistics, EBEB 2014

A2 - Polpo, Adriano

A2 - Louzada, Francisco

A2 - Lauretto, Marcelo

A2 - Stern, Julio Michael

A2 - Rifo, Laura Letícia Ramos

PB - Springer New York LLC

T2 - 12th Brazilian Meeting on Bayesian Statistics, EBEB 2014

Y2 - 10 March 2014 through 14 March 2014

ER -