2010/12/16 by B. Klingenberg, Bernhard Klingenberg · 8 citations
Mathematics · #Advanced Causal Inference Techniques #Code (set theory) #Computer science #Confidence interval #Efficiency #Mathematics #Matrix (chemical analysis) #Multiple comparisons problem #Statistical Methods and Inference #Statistical Methods in Clinical Trials #Statistics #Upper and lower bounds
paper · doi:10.1002/sim.3924
published in Statistics in Medicine 29(30), 3232-3244 (Wiley)
openalex publication_date 2010/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
We discuss the construction of asymptotic simultaneous upper confidence limits that jointly bound relative risks formed by comparing several treatments to a control. Motivated by a vaccine study, we investigate the performance of several methods under such settings. Inverting the minimum of score statistics, together with estimating the correlation matrix of these statistics under the null gives simultaneous coverage rates closest to the nominal level. In typical settings of vaccine studies, this method proves to be the most powerful of the ones considered, but computationally simpler alternatives are also worth exploring when the number of comparisons is large. Simultaneous lower and two-sided confidence intervals are also considered. All procedures can be implemented and evaluated using freely available and general R code.