TwoSampleBernoulli.Design {BayesDIP} R Documentation

## Two sample Bernoulli model - Trial Design

### Description

Calculate the minimum planned sample size under an admissible design. The users decide the power and type-I-error, and pick the efficacy and futility boundaries. If there are no admissible design based on controlled type-I-error, then default to output the designs with the lowest type-I-error and at least the user-defined (e.g. 80%) power.

### Usage

TwoSampleBernoulli.Design(
prior,
nmin = 10,
nmax = 200,
p1,
p2,
d = 0,
ps = 0.95,
pf = 0.05,
power = 0.8,
t1error = 0.05,
alternative = c("less", "greater"),
seed = 202209,
sim = 500
)


### Arguments

 prior A list of length 3 containing the distributional information of the prior. The first element is a number specifying the type of prior. Options are DIP ; Beta(a,b), where a = shape, b = scale The second and third elements of the list are the parameters a and b, respectively. nmin The start searching total sample size for two treatment groups. nmax The stop searching total sample size for two treatment groups. p1 The response rate of the new treatment. p2 The response rate of the compared treatment. d The target improvement (minimal clinically meaningful difference). ps The efficacy boundary (upper boundary). pf The futility boundary (lower boundary). power The power to achieve. t1error The controlled type-I-error. alternative less (lower values imply greater efficacy) or greater (larger values imply greater efficacy). seed The seed for simulations. sim The number of simulations.

### Value

A list of the arguments with method and computed elements

### Examples


# with traditional Bayesian prior Beta(1,1)
TwoSampleBernoulli.Design(list(2,1,1), nmin = 100, nmax = 120, p1 = 0.5, p2 = 0.3, d = 0,
ps = 0.90, pf = 0.05, power = 0.8, t1error = 0.05, alternative = "greater",
seed = 202210, sim = 10)
# with DIP
TwoSampleBernoulli.Design(list(1,0,0), nmin = 100, nmax = 120, p1 = 0.5, p2 = 0.3, d = 0,
ps = 0.90, pf = 0.05, power = 0.8, t1error = 0.05, alternative = "greater",
seed = 202210, sim = 10)



[Package BayesDIP version 0.1.1 Index]