P(reject H0) in a 2-stage PhII single arm Sargent design — sargent2stage_prob_reject

This function calculates the P(reject null hypothesis|true success probability)

sargent2stage_prob_reject_H0(n1, n2, r1, s, p)

Arguments

n1	total number of patients in stage1
n2	total number of patients in stage2
r1	critical value for the first stage
s	critical value for the second stage
p	true success probability

Value

Probability

Details

if x1<=r1 --> stop futility
if (x1+x2)>=s --> success
with x1 the number of successes in the first stage and x2 the number of successes in the second stage

References

Sargent DJ, Chan V, Goldberg RM. A three-outcome design for phase II clinical
trials. Control Clin Trials. 2001;22(2):117-125. doi:10.1016/s0197-2456(00)00115-x

Examples

sargent2stage_prob_reject_H0(n1=10,n2=20,r1=0,s=4,p=0.25)
#> [1] 0.9189165