Independent increments in group sequential tests : a review
Kim, KyungMann (University of Wisconsin-Madison. Department of Biostatistics and Medical Informatics)
Tsiatis, Anastasios A. (North Carolina State University. Department of Statistics)

Date:	2020
Abstract:	In order to apply group sequential methods for interim analysis for early stopping in clinical trials, the joint distribution of test statistics over time has to be known. Often the distribution is multivariate normal or asymptotically so, and an application of group sequential methods requires multivariate integration to determine the group sequential boundaries. However, if the increments between successive test statistics are independent, the multivariate integration reduces to a univariate integration involving simple recursion based on convolution. This allows application of standard group sequential methods. In this paper we review group sequential methods and the development that established independent increments in test statistics for the primary outcomes of longitudinal or failure time data.
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Failure time data ; Interim analysis ; Longitudinal data ; Clinical trials ; Repeated significance tests ; Sequential methods
Published in:	SORT : statistics and operations research transactions, Vol. 44 Núm. 2 (July-December 2020) , p. 223-264 (Invited article) , ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/377793
DOI: 10.2436/20.8080.02.101

42 p, 541.7 KB

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