Find the Location of Maximum, Standard OBF and POC
Calculate the location of maximal tyep I error of the standard O'Brien-Fleming and Pocock refined secondary boundaries.
initLocPeak(alpha, tVec, cvec, type = 2, initIntvl = c(1, 4))
alpha |
type I error. |
tVec |
information vector. |
cvec |
primary group sequential boundary. |
type |
type of the test procedure for the secondary endpoint. O'Brien- Fleming (OBF) type error spending funciton is 1, Pocock (POC) type error spending funciton is 2. |
initIntvl |
computing paramter, a pair of numbers containing the end-points of the interval to be searched for the root. |
This function search the location of the maximal point, in order to calculate the standard (origiinal) O'Brien-Fleming (OBF) and Pocock (POC) refined secondary boundaries.
location of maximum, a number between 1 and the number of interims
Jiangtao Gou
O'Brien, P. C., and Fleming, T. R. (1979). A multiple testing procedure for clinical trials. Biometrics 35, 549-556.
Pocock, S. J. (1977). Group sequential methods in the design and analysis of clinical trials. Biometrika 64, 191-199.
Tamhane, A. C., Gou, J., Jennison, C., Mehta, C. R., and Curto, T. (2018). A gatekeeping procedure to test a primary and a secondary endpoint in a group sequential design with multiple interim looks. Biometrics, to appear.
SecondaryBoundary, ldInitLocBeak
#require(mvtnorm) #K <- 8 #gammaVec <- sqrt((1:K)/K) #tVec <- gammaVec^2 #alpha = 0.025 #c <- 2.072274 #cvec <- c/gammaVec #loc <- initLocPeak(alpha,tVec,cvec,type=2,initIntvl=c(1,3))
Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.