simon2stage_prob_reject_Ha.RdThis function calculates the P(reject alternative hypothesis|true success probability)
simon2stage_prob_reject_Ha(n1, n2, r1, r, p)| n1 | total number of patients in stage1 |
|---|---|
| n2 | total number of patients in stage2 |
| r1 | critical value for the first stage |
| r | critical value for the second stage |
| p | true success probability |
Probability
if x1<=r1 --> stop futility
if (x1+x2)<=r --> futility
with x1 the number of successes in the first stage and x2 the number of successes in the second stage
Simon R. Optimal two-Stage Designs for Phase II Clinical Trials.
Control Clin Trials. 1989;10:1-10
simon2stage_prob_reject_Ha(n1=10,n2=20,r1=0,r=4,p=0.25)
#> [1] 0.1308219