# Calculates an exact conditional confidence interval using a mid-p interval.

### Description

exact.midp gives a two-sided exact conditional confidence interval for the difference of two dependent proportions. It is built of a mid-p Interval. Data are assumed to be of a fourfold table, which contains the numbers of concordance and the numbers of discordance of two dependent methods.

### Usage

1 | ```
exact.midp(b, c, n, alpha)
``` |

### Arguments

`b` |
first number of discordant pairs in a fourfold table as described above |

`c` |
second number of discordant pairs in a fourfold table as described above |

`n` |
number of observed objects |

`alpha` |
type I error; between zero and one |

### Value

A list with class '"htest"' containing the following components:

`conf.int ` |
a confidence interval for the difference in proportions |

`estimate ` |
estimated difference in proportions |

### Author(s)

Daniela Wenzel, Antonia Zapf

### References

Vollset, S.E. (1993). Confidence intervals for a binomial proportion. Statistics in Medicine 12. 809-824.

Newcombe, R.G. (1998). Improved confidence intervals for the difference between binomial proportions based on paired data. Statistics in Medicine 17. 2635-2650.

### Examples

1 2 | ```
# b=10, c=20, n=50, type I error is 0.05
conf.int=exact.midp(10,20,50,0.05)
``` |

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