PostP function

The posterior probability criterion function for Phase II single-arm design

Thall and Simon's criterion function for determining the trial decision boundaries based on the posterior probability.

PostP(x, n, a, b, p0)

Arguments

• x: the number of responses among $n$ patients treated by the experimental drug.
• n: the number of patients treated by the experimental drug.
• a: the hyperparameter (shape1) of the Beta prior for the experimental drug.
• b: the hyperparameter (shape2) of the Beta prior for the experimental drug.
• p0: the prespecified reseponse rate.

Returns

• prob: the posterior probability: $Pr(p > p_0 | X=x)$

Examples

PostP(8,15,1,1,0.8)

References

Berry, S. M., Carlin, B. P., Lee, J. J., & Muller, P. (2010). Bayesian adaptive methods for clinical trials.

CRC press.

Thall, P. F., Simon, R. (1994). Practical Bayesian guidelines for phase IIB clinical trials. Biometrics 50 : 337-349.

Yin, G. (2013). Clinical Trial Design: Bayesian and Frequentist Adaptive Methods.

New York: Wiley.