Description Usage Arguments Details Value Author(s) References Examples

Implementation of the interval estimation procedure described on pp. 305-6 of Wellek S (2010) Testing statistical hypotheses of equivalence and noninferiority. Second edition.

1 | ```
cf_reh_exact(X1,X2,X3,alpha,SW,TOL,ITMAX)
``` |

`X1` |
count of homozygotes of the first kind [ |

`X2` |
count of heterozygotes [ |

`X3` |
count of homozygotes of the second kind [ |

`alpha` |
1 - confidence level |

`SW` |
width of the search grid for determining an interval covering the
parameter point at which the conditional distribution function takes
value |

`TOL` |
numerical tolerance to the deviation between the computed confidence limits and their exact values |

`ITMAX` |
maximum number of interval-halving steps |

The program exploits the structure of the family of all genotype distributions,
which is 2-parameter exponential with *\log(REH)* as one of these parameters.

`X1` |
count of homozygotes of the first kind [ |

`X2` |
count of heterozygotes [ |

`X3` |
count of homozygotes of the second kind [ |

`alpha` |
1 - confidence level |

`SW` |
width of the search grid for determining an interval covering the
parameter point at which the conditional distribution function takes
value |

`TOL` |
numerical tolerance to the deviation between the computed confidence limits and their exact values |

`ITMAX` |
maximum number of interval-halving steps |

`C_l_exact` |
exact conditional lower |

`C_r_exact` |
exact conditional upper |

Stefan Wellek <[email protected]>

Peter Ziegler <[email protected]>

Wellek S, Goddard KAB, Ziegler A: A confidence-limit-based approach to the assessment of Hardy-Weinberg equilibrium. Biometrical Journal 52 (2010), 253-270.

Wellek S: Testing statistical hypotheses of equivalence and
noninferiority. Second edition. Boca Raton:
Chapman & Hall/CRC Press, 2010, *Par.* 9.4.3.

1 2 | ```
cf_reh_exact(34,118,96,.05,.1,1E-4,25)
``` |

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