Insights on the Robust Variance Estimator under Recurrent-Events Model
Article first published online: 18 MAR 2011
© 2011, The International Biometric Society
Volume 67, Issue 4, pages 1564–1572, December 2011
How to Cite
Al-Khalidi, H. R., Hong, Y., Fleming, T. R. and Therneau, T. M. (2011), Insights on the Robust Variance Estimator under Recurrent-Events Model. Biometrics, 67: 1564–1572. doi: 10.1111/j.1541-0420.2011.01589.x
- Issue published online: 14 DEC 2011
- Article first published online: 18 MAR 2011
- Received February 2010. Revised January 2011. Accepted January 2011.
- Andersen–Gill model;
- Clinical trials;
- Recurrent-events data;
- Robust standard error;
- Sample size;
- Sandwich estimator
Summary Recurrent events are common in medical research for subjects who are followed for the duration of a study. For example, cardiovascular patients with an implantable cardioverter defibrillator (ICD) experience recurrent arrhythmic events that are terminated by shocks or antitachycardia pacing delivered by the device. In a published randomized clinical trial, a recurrent-event model was used to study the effect of a drug therapy in subjects with ICDs, who were experiencing recurrent symptomatic arrhythmic events. Under this model, one expects the robust variance for the estimated treatment effect to diminish when the duration of the trial is extended, due to the additional events observed. However, as shown in this article, that is not always the case. We investigate this phenomenon using large datasets from this arrhythmia trial and from a diabetes study, with some analytical results, as well as through simulations. Some insights are also provided on existing sample size formulae using our results.