wilson.phi gives a two-sided Wilson confidence interval with continuity correction for the difference of two dependent proportions. Data are assumed to be of a fourfold table, which contains the numbers of concordance and the numbers of discordance of two dependent methods. The continuity correction is performed to the estimated phi which is calculated by the entries of the fourfold table.

1 | ```
wilson.phi(a, b, c, d, n, alpha)
``` |

`a` |
first number of concordant paires as described above |

`b` |
first number of discordant paires as described above |

`c` |
second number of discordant paires as described above |

`d` |
second number of concordant paires as described above |

`n` |
number of observed objects |

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

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

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

`estimate ` |
estimated difference in proportions |

Daniela Wenzel, Antonia Zapf

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

1 2 | ```
# a=10, b=15, c=5, d=20, n=50, type I error is 0.05
conf.int=wilson.phi(10,15,5,20,50,0.05)
``` |

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