mcnby_ni {EQUIVNONINF} | R Documentation |

The program determines through iteration the largest nominal
level *α_0* such that comparing the posterior probability
of the alternative hypothesis *K_1: δ > -δ_0* to the lower
bound *1-α_0* generates a critical region whose size does not exceed
the target significance level *α*. In addition, exact values of the
power against specific parameter configurations with *δ = 0* are output.

mcnby_ni(N,DEL0,K1,K2,K3,NSUB,SW,ALPHA,MAXH)

`N` |
sample size |

`DEL0` |
noninferiority margin to the difference of the parameters of the marginal binomial distributions under comparison |

`K1` |
Parameter 1 of the Dirichlet prior for the family of trinomial distributions |

`K2` |
Parameter 2 of the Dirichlet prior for the family of trinomial distributions |

`K3` |
Parameter 3 of the Dirichlet prior for the family of trinomial distributions |

`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 |

`ALPHA` |
target significance level |

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

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

`N` |
sample size |

`DEL0` |
noninferiority margin to the difference of the parameters of the marginal binomial distributions under comparison |

`K1` |
Parameter 1 of the Dirichlet prior for the family of trinomial distributions |

`K2` |
Parameter 2 of the Dirichlet prior for the family of trinomial distributions |

`K3` |
Parameter 3 of the Dirichlet prior for the family of trinomial distributions |

`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 |

`ALPHA` |
target significance level |

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

`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 test at uncorrected nominal level |

`POW` |
power against 7 different parameter configurations with |

Stefan Wellek <stefan.wellek@zi-mannheim.de>

Peter Ziegler <peter.ziegler@zi-mannheim.de>

Wellek S: Testing statistical hypotheses of equivalence and
noninferiority. Second edition. Boca Raton:
Chapman & Hall/CRC Press, 2010, *Par.* 5.2.3.

mcnby_ni(25,.10,.5,.5,.5,10,.05,.05,5)

[Package *EQUIVNONINF* version 1.0.2 Index]