Group sequential tests for delayed responses (with discussion)

Lisa V Hampson, Christopher Jennison

Research output: Contribution to journalArticlepeer-review

60 Citations (SciVal)


Group sequential methods are used routinely to monitor clinical trials and to provide early stopping when there is evidence of a treatment effect, lack of an effect, or concerns about patient safety. In many studies, the response of clinical interest is measured some time after the start of treatment and there are subjects at each interim analysis who have been treated but are yet to respond. We formulate a new form of group sequential test which gives a proper treatment of these “pipeline” subjects; these tests can be applied even when the continued accrual of data after the decision to stop the trial is unexpected. We illustrate our methods through a series of examples. We define error spending versions of these new designs which handle unpredictable group sizes and provide an information monitoring framework that can accommodate nuisance parameters, such as an unknown response variance. By studying optimal versions of our new designs, we show how the benefits of lower expected sample size normally achieved by a group sequential test are reduced when there is a delay in response. The loss of efficiency for larger delays can be ameliorated by incorporating data on a correlated short-term endpoint, fitting a joint model for the two endpoints but still making inferences on the original, longer term endpoint. We derive p-values and confidence intervals on termination of our new tests.
Original languageEnglish
Pages (from-to)3-54
Number of pages52
JournalJournal of the Royal Statistical Society, Series B (Statistical Methodology)
Issue number1
Early online date4 Dec 2012
Publication statusPublished - Jan 2013


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