Lower and Upper Bounds Generator
Generate lower and upper bounds for programs calculating the secondary endpoint's type I error when the correlation rho between the primary endpoint and the secondary endpoint equals 1.
cdBoundary(cvec, dvec, gammaVec, dlt, upper = TRUE)
cvec |
primary boundary. |
dvec |
secondary boundary. |
gammaVec |
square root of information vector. |
dlt |
test statistic of the primary endpoint follows a normal distribution with mean |
upper |
type of bounds, upper bound is |
This function generates upper and lower bounds for further computation. For more details, refer to Tamhane et al. (2018, Biometrics), section 4.2.
lower and upper bounds for programs calculating the secondary endpoint's type I error when the correlation rho is 1.
Jiangtao Gou
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(1), 40-48.
cvec <- rep(1.992,3) dvec <- c(1.535*sqrt(3),1.535*sqrt(3/2),1.535) gammaVec <- c(sqrt(1/3),sqrt(2/3),1) dlt <- 2 uBoundary <- cdBoundary(cvec, dvec, gammaVec, dlt, upper=TRUE)
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