Description Usage Arguments Details Value Author(s) References Examples

Implementation of the construction described on pp. 185-6 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition.

1 | ```
bi2by_ni_del(N1,N2,EPS,SW,NSUB,ALPHA,MAXH)
``` |

`N1` |
size of Sample 1 |

`N2` |
size of sample 2 |

`EPS` |
noninferiority margin to the difference of success probabilities |

`SW` |
width of the search grid for determining the maximum of the rejection probability on the common boundary of the hypotheses |

`NSUB` |
number of subintervals for partitioning the range of integration |

`ALPHA` |
target significance level |

`MAXH` |
maximum number of interval halving steps to be carried out in finding the maximally admissible nominal level |

The program uses 96-point Gauss-Legendre quadrature on each of the NSUB intervals into which the range of integration is partitioned.

`N1` |
size of Sample 1 |

`N2` |
size of sample 2 |

`EPS` |
noninferiority margin to the difference of success probabilities |

`NSUB` |
number of subintervals for partitioning the range of integration |

`SW` |
width of the search grid for determining the maximum of the rejection probability on the common boundary of the hypotheses |

`ALPHA0` |
result of the search for the largest admissible nominal level |

`SIZE0` |
size of the critical region corresponding to |

`SIZE_UNC` |
size of the critical region of the test at uncorrected nominal level |

Stefan Wellek <[email protected]>

Peter Ziegler <[email protected]>

Wellek S: Statistical methods for the analysis of two-armed non-inferiority trials with binary outcomes. Biometrical Journal 47 (2005), 48–61.

Wellek S: Testing statistical hypotheses of equivalence and
noninferiority. Second edition. Boca Raton:
Chapman & Hall/CRC Press, 2010, *Par.* 6.6.3.

1 | ```
bi2by_ni_del(20,20,.10,.01,10,.05,5)
``` |

```
Loading required package: BiasedUrn
N1 = 20 N2 = 20 EPS = 0.1 ALPHA = 0.05 NSUB = 10 SW = 0.01
ALPHA0 = 0.025625 SIZE0 = 0.03644203 SIZE_UNC = 0.101294
```

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