secondaryBoundaryVecLD | R Documentation |
Lan-DeMets refined secondary boundaries, and nominal significance for the secondary endpoint are calculated by using the error spending approach.
secondaryBoundaryVecLD(
alpha,
tVec,
primaryOBF = TRUE,
secondaryOBF = FALSE,
initIntvl = c(0.8, 8)
)
alpha |
type I error probability. |
tVec |
vector of relative information levels. The last element in the vector is 1. |
primaryOBF |
type of primary boundary, |
secondaryOBF |
type of secondary boundary, |
initIntvl |
computing paramter, a pair of numbers containing the end-points of the interval to be searched for the root. |
This function uses the Lan-DeMets error spending approach,
and gives a list including refined secondary boundary and the nominal significance for the secondary endpoint.
There is a computing parameter initIntvl
.
Parameter initIntvl
contains the end-points of the interval to be searched for the root.
For Lan-DeMets error spending approach, the lower end point should choose a number slightly less than 1,
and the upper end point should choose a number between 4 and 10.
a result list including Lan-DeMets refined secondary boundary and the nominal significance for the secondary endpoint.
Jiangtao Gou
Glimm, E., Maurer, W., and Bretz, F. (2010). Hierarchical testing of multiple endpoints in group-sequential trials. Statistics in Medicine 29, 219-228.
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Jennison, C. and Turnbull, B. W. (2000). Group Sequential Methods with Applications to Clinical Trials. Chapman and Hall/CRC, New York.
Lan, K. K. G., and Demets, D. L. (1983). Discrete sequential boundaries for clinical trials. Biometrika 70, 659-663.
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., Mehta, C. R., and Liu, L. (2010). Testing a primary and a secondary endpoint in a group sequential design. Biometrics 66, 1174-1184.
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.
secondaryBoundaryVec
, secondaryBoundaryVecOrig
require(mvtnorm)
require(ldbounds)
result <- secondaryBoundaryVecLD(alpha=0.025,tVec=c(1/2,1),primaryOBF=TRUE,
secondaryOBF=FALSE,initIntvl=c(0.8,6))
result$secondaryBoundary
result$nomialSignificance
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