Blinded continuous information monitoring of recurrent event endpoints with time trends in clinical trials

• Published in: Statistics in medicine 2020-11, Vol.39 (27), p.3968-3985
• Main Authors: Mütze, Tobias, Salem, Susanna, Benda, Norbert, Schmidli, Heinz, Friede, Tim
• Format: Article
• Language: English
• Subjects: adaptive designs; Binomial Distribution; Child; Clinical trials; Humans; information monitoring; Models, Statistical; multiple sclerosis; Multiple Sclerosis - drug therapy; negative binomial distribution; Pediatrics; Research Design; Sample Size; Time; Trends
• ISSN: 0277-6715; 1097-0258
• DOI: 10.1002/sim.8702

Blinded sample size re‐estimation and information monitoring based on blinded data has been suggested to mitigate risks due to planning uncertainties regarding nuisance parameters. Motivated by a randomized controlled trial in pediatric multiple sclerosis (MS), a continuous monitoring procedure for overdispersed count data was proposed recently. However, this procedure assumed constant event rates, an assumption often not met in practice. Here we extend the procedure to accommodate time trends in the event rates considering two blinded approaches: (a) the mixture approach modeling the number of events by a mixture of two negative binomial distributions and (b) the lumping approach approximating the marginal distribution of the event counts by a negative binomial distribution. Through simulations the operating characteristics of the proposed procedures are investigated under decreasing event rates. We find that the type I error rate is not inflated relevantly by either of the monitoring procedures, with the exception of strong time dependencies where the procedure assuming constant rates exhibits some inflation. Furthermore, the procedure accommodating time trends has generally favorable power properties compared with the procedure based on constant rates which stops often too late. The proposed method is illustrated by the clinical trial in pediatric MS.