Description Usage Arguments Details Value References See Also Examples

This uses Fieller's formula to calculate a confidence interval for a specified mortality proportion, commonly 0.50, or 0.90, or 0.99. Here "dose" is a generic term for any measure of intensity of a treatment that is designed to induce insect death.

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`phat` |
Mortality proportion |

`b` |
Length 2 vector of intercept and slope |

`vv` |
Variance-covariance matrix for intercept and slope |

`df.t` |
Degrees of freedom for variance-covariance matrix |

`offset` |
Offset to be added to intercept. This can be of
length 2, in order to return values on the original scale,
in the case where |

`logscale` |
Should confidence limits be back transformed from log scale? |

`link` |
Link function that transforms expected mortalities to the scale of the linear predictor |

`eps` |
If |

`type` |
The default is to use Fieller's formula. The
Delta ( |

`maxg` |
Maximum value of |

`lambda` |
The power |

See the internal code for details of the value `g`

.
The calculation gives increasing wide confidence intervals as
`g`

approaches 1. If *g>=1*, there are no limits.
The default value for `df.t`

is a rough guess at what
might be reasonable. For models fitted using `lme4::lmer()`

,
abilities in the lmerTest package can be used to determine
a suitable degrees of freedom approximation — this does not
extend to use with `glmer()`

or `glmmTMB`

.

A vector, with elements

`est` |
Estimate |

`var` |
Variance, calculated using the Delta method |

`lwr` |
Lower bound of confidence interval |

`upr` |
upper bound of confidence interval |

`g` |
If |

Joe Hirschberg & Jenny Lye (2010) A Geometric Comparison of the Delta and Fieller Confidence Intervals, The American Statistician, 64:3, 234-241, DOI: 10.1198/ tast.2010.08130

E C Fieller (1944). A Fundamental Formula in the Statistics of Biological Assay, and Some Applications. Quarterly Journal of Pharmacy and Pharmacology, 17, 117-123.

David J Finney (1978). Statistical Method in Biological Assay (3rd ed.), London, Charles Griffin and Company.

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