PostP {ph2bye}

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

Description

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

Usage

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.

Value

prob

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

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.

Examples

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