initLocPeak: Find the Location of Maximum, Standard OBF and POC

In gsrsb: Group Sequential Refined Secondary Boundary

Find the Location of Maximum, Standard OBF and POC

Description

Calculate the location of maximal tyep I error of the standard O'Brien-Fleming and Pocock refined secondary boundaries.

Usage

initLocPeak(alpha, tVec, cvec, type = 2, initIntvl = c(1, 4))

Arguments

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.

Details

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.

Value

location of maximum, a number between 1 and the number of interims

Author(s)

Jiangtao Gou

References

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.

See Also

SecondaryBoundary, ldInitLocBeak

Examples

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))

gsrsb documentation built on July 9, 2023, 6:02 p.m.