triggerstrategy (version 1.2.0)

sPwRph2: Power of testing the secondary hypothesis in partially hierarchical design

Description

This function computes the power of testing the secondary hypothesis in partially hierarchical design.

Usage

sPwRph2(cvec0, cvec1, delta0, delta1, t0, t1, tc0 = t0, tc1 = t1, rho = 0)

Value

a value of the probability that H1 is rejected, the power

Arguments

cvec0

a vector of critical boundaries for testing H0

cvec1

a vector of critical boundaries for testing H1

delta0

a value of drift parameter for testing H0

delta1

a value of drift parameter for testing H1

t0

a vector of information times for H0

t1

a vector of information times for H1

tc0

a vector of calendar times for H0

tc1

a vector of calendar times for H1

rho

a value of correlation coefficient between H0 and H1

References

Gou, J. (2023). Trigger strategy in repeated tests on multiple hypotheses. Statistics in Biopharmaceutical Research, 15(1), 133-140. Gou, J. (2022). Sample size optimization and initial allocation of the significance levels in group sequential trials with multiple endpoints. Biometrical Journal, 64(2), 301-311.

Examples

alpha <- 0.05
alpha0 <- 0.03
iuse0 <- 4
iuse1h <- 4
iuse1t <- 4
phi0 <- -4
phi1h <- 1
phi1t <- 1
tc0 <- c(3,6,9,12)
tc1 <- c(6,12,18,24)
t0 <- c(0.3,0.6,0.9,1)
t1 <- (1:4)/4
rho <- 0
cvecList0 <- gbounds(t=t0, iuse=iuse0,
    alpha=alpha0, phi=phi0)
cvec0 <- cvecList0$bd
cvecList1 <- sBoundsPh2(alpha, alpha0,
    t0, t1, tc0, tc1,
    rho, iuse0, iuse1h, iuse1t,
    phi0, phi1h, phi1t)
cvec1 <- cvecList1$bd
sPwRph2(cvec0, cvec1,
    delta0=2, delta1=3,
    t0, t1, tc0, tc1,
    rho=0)