minWO | R Documentation |

Minimum detectable or WO for alternative hypothesis for given power (no ties)

```
minWO(N, power = 0.5, SD = NULL, k = 0.5, alpha = 0.05, WOnull = 1, digits = 2)
```

`N` |
a numeric vector of sample size values (two arms combined). |

`power` |
the given power. The default is 0.5 corresponding to the minimum detectable win odds. A numeric vector of length 1. |

`SD` |
assumed standard deviation of the win proportion. By default uses the conservative SD. A numeric vector of length 1. |

`k` |
proportion of active group in the overall sample size. Default is 0.5 (balanced randomization). A numeric vector of length 1. |

`alpha` |
the significance level for the 2-sided test. Default is 0.05. A numeric vector of length 1. |

`WOnull` |
the win odds value of the null hypothesis (default is 1). A numeric vector of length 1. |

`digits` |
precision to use for reporting calculated win odds. |

a data frame containing the calculated WO with input values.

Gasparyan SB et al. (2021) "Power and sample size calculation for the win odds test: application to an ordinal endpoint in COVID-19 trials." Journal of Biopharmaceutical Statistics 31.6: 765-787. doi:10.1080/10543406.2021.1968893

`powerWO()`

, `sizeWO()`

for WO power and sample size calculation.

```
minWO(N = 100, digits = 5)
minWO(N = 1200, power = 0.9)
minWO(N = 1200, power = 0.9, k = 0.75)
```

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