Calculate Nominal Significance, Error Spending Approach
Nominal significance for the secondary endpoint are calculated by using the error spending approach.
ldNominalSig(alpha, tVec, cvec, locPeak, type = 2, initIntvl = c(1, 4))
alpha |
original significance level. |
tVec |
information vector. |
cvec |
primary group sequential boundary. |
locPeak |
location of maximum, a number between 1 and the number of interims. |
type |
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 calculates the nominal significance level of any Lan-DeMets error spending boundary. The original significance level is used to choose the initial searching range of the nominal significance.
nominal significance of the secondary group sequential boundary.
Jiangtao Gou
Lan, K. K. G., and Demets, D. L. (1983). Discrete sequential boundaries for clinical trials. Biometrika 70, 659-663.
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, 74, 40-48.
nominalSig, secondaryBoundaryVecLD
#require(mvtnorm) #require(ldbounds) #K <- 6; #tVec <- c(140,328,453,578,659,1080)/1080; #alpha = 0.025; #cvec.obf <- bounds(tVec,iuse=c(1),alpha=c(alpha)); #cvec <- cvec.obf$upper.bounds; #alphaprime <- ldNominalSig(alpha,tVec,cvec,locPeak=4,type=2, # initIntvl=c(1,4))
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