# Power and sample size

### Description

Power and sample size for a binomial proportion using the cloglog parameterization.

### Usage

1 2 3 |

### Arguments

`p.alt` |
The alternative proportion in a one-sample test. |

`n` |
The sample size in a one-sample test. |

`p` |
The null proportion in a one-sample test. Default is 0.5. |

`power` |
The desired power level. Default is 0.80. |

`alpha` |
The desired alpha level - probability of a Type I error. Default is 0.05. |

`alternative` |
Nature of alternative hypothesis. One of "two.sided", "greater", "less". |

`exact.n` |
logical; If |

`recompute.power` |
logical; If |

`phi` |
Dispersion parameter by which to inflate ( |

### Details

This function can be used to calculate sample size, power or minimum
detectable difference. It determines what to compute base on the
arguments provided. If `p.alt`

is given, but `n`

is not, then
sample size is computed. If `p.alt`

is given along with `n`

,
then the power is computed. If only `n`

is provided, the minimum
detectable difference is computed using the default power of 0.80.

### Value

A `data.frame`

containing the power, sample size and all of the
input which was used to perform the computations.

### Author(s)

Sundar Dorai-Raj (sdorairaj@gmail.com)

### See Also

`binom.confint`

### Examples

1 2 3 | ```
cloglog.sample.size(p.alt = 0.8)
cloglog.sample.size(n = 20)
cloglog.sample.size(n = 20, power = 0.9)
``` |