OneSampleBernoulli {BayesDIP} | R Documentation |

## One sample Bernoulli model

### Description

For a given planned sample size, the efficacy and futility boundaries, return the power, the type I error, the expected sample size and its standard deviation, the probability of reaching the efficacy and futility boundaries.

### Usage

```
OneSampleBernoulli(
prior,
N = 100,
p0,
p1,
d = 0,
ps = 0.95,
pf = 0.05,
alternative = c("less", "greater"),
seed = 202209,
sim = 5000
)
```

### 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. |

`N` |
The planned sample size. |

`p0` |
The null response rate, which could be taken as the standard or historical rate. |

`p1` |
The response rate of the new treatment. |

`d` |
The target improvement (minimal clinically meaningful difference). |

`ps` |
The efficacy boundary (upper boundary). |

`pf` |
The futility boundary (lower boundary). |

`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)
OneSampleBernoulli(list(2,1,1), N = 100, p0 = 0.3, p1 = 0.5, d = 0.05,
ps = 0.98, pf = 0.05, alternative = "greater",
seed = 202210, sim = 10)
# with DIP
OneSampleBernoulli(list(1,0,0), N = 100, p0 = 0.3, p1 = 0.5, d = 0.05,
ps = 0.98, pf = 0.05, alternative = "greater",
seed = 202210, sim = 10)
```

*BayesDIP*version 0.1.1 Index]