Premium
Simultaneous confidence bounds for relative risks in multiple comparisons to control
Author(s) -
Klingenberg B.
Publication year - 2010
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.3924
Subject(s) - confidence interval , statistics , computer science , multiple comparisons problem , code (set theory) , matrix (chemical analysis) , upper and lower bounds , mathematics , efficiency , mathematical analysis , materials science , set (abstract data type) , composite material , programming language , estimator
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. Copyright © 2010 John Wiley & Sons, Ltd.