freq_binom_one_simons_twostage {EurosarcBayes}

Single arm, two stage, Binomial sample size calculator

Description

Sample size calculation for single arm, two stage designs (Simon's optimal and minmax designs) where stoping early for futility is permitted. Returns frequentist and Bayesian properties for the designs.

A shiny app is also provided. This is interactive for Simon's two stage design and also describes a number of multistage designs for the same problem.

Usage

freq_binom_one_simons_twostage(p0, p1, alpha, power, prior.a=0,
	prior.b=0, nmax=100, round=TRUE, method="optimal")
 
shiny_binom_single_twostage()

Arguments

p0

Probability of success under H0

p1

Probability of success under H1

alpha

The largest allowed value for the frequentist type one error

power

The smallest allowed frequentist power

prior.a, prior.b

The prior parameters for the beta prior distribution

nmax

The maximum sample size to search up to

round

Optionally round the probability outputs to 3 significant figures

method

Defining the method of optimisation. Either "optimal" or "minmax"

Details

freq_binom_one_simons_twostage is a wrapper function. It uses ph2simon from the clinfun package to generate optimal sample sizes for the the frequentist single arm, two stage designs. Frequentist and Bayesian properties are then calculated using properties_binom_one and then optimal and minimax designs are returned.

Value

Returns an object of class trialDesign_binom_one

References

Simon R. (1989). Optimal Two-Stage Designs for Phase II Clinical Trials. Controlled Clinical Trials 10, 1-10.

See Also

ph2simon

Examples

p0=0.2
p1=0.35
alpha=0.1
power=0.8
freq_binom_one_simons_twostage(p0,p1,alpha,power)