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Sequential tests and estimates after overrunning based on p-value combination

W. J. Hall and Keyue Ding

Full-text: Open access

Abstract

Often in sequential trials additional data become available after a stopping boundary has been reached. A method of incorporating such information from overrunning is developed, based on the “adding weighted Zs” method of combining p-values. This yields a combined p-value for the primary test and a median-unbiased estimate and confidence bounds for the parameter under test. When the amount of overrunning information is proportional to the amount available upon terminating the sequential test, exact inference methods are provided; otherwise, approximate methods are given and evaluated. The context is that of observing a Brownian motion with drift, with either linear stopping boundaries in continuous time or discrete-time group-sequential boundaries. The method is compared with other available methods and is exemplified with data from two sequential clinical trials.

Chapter information

Source
Bertrand Clarke and Subhashis Ghosal, eds., Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2008), 33-45

Dates
First available in Project Euclid: 28 April 2008

Permanent link to this document
https://projecteuclid.org/euclid.imsc/1209398458

Digital Object Identifier
doi:10.1214/074921708000000039

Mathematical Reviews number (MathSciNet)
MR2459214

Subjects
Primary: 62L10: Sequential analysis
Secondary: 62P10: Applications to biology and medical sciences

Keywords
delayed observations deletion method double sampling lagged data meta analysis ML ordering sequential clinical trial

Rights
Copyright © 2008, Institute of Mathematical Statistics

Citation

Hall, W. J.; Ding, Keyue. Sequential tests and estimates after overrunning based on p -value combination. Pushing the Limits of Contemporary Statistics: Contributions in Honor of Jayanta K. Ghosh, 33--45, Institute of Mathematical Statistics, Beachwood, Ohio, USA, 2008. doi:10.1214/074921708000000039. https://projecteuclid.org/euclid.imsc/1209398458


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