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Simon Two-Stage Design Calculator
Calculate optimal two-stage designs for phase II clinical trials
Input Parameters
This calculator helps determine optimal or minimax two-stage designs for phase II clinical trials, allowing early termination for futility.
Minimum Stage 1 Sample Size
Value between 1 and 500
Maximum Stage 1 Sample Size
Value between 1 and 500
Maximum Total Sample Size
Value between 2 and 500
Probability under null hypothesis (p₀)
Value between 0 and 1
Probability under alternative hypothesis (p₁)
Value between 0 and 1
Maximum Alpha
Type I error rate
Minimum Power (1 − β)
Value between 0 and 1
Calculate Design
Results
How to use this design:
Enroll N1 patients in Stage 1
Count the number of responses (x1) in Stage 1
If x1 ≤ n1, stop the trial and conclude the treatment is ineffective
If x1 > n1, continue to Stage 2 and enroll an additional (N − N1) patients
Count the total number of responses (x) across both stages
If x > n2, conclude the treatment is effective; otherwise, conclude it is ineffective
Design Types:
Minimax Design:
Minimizes the maximum possible sample size needed
Optimal Design:
Minimizes the expected sample size under the null hypothesis
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