# Profile penalized likelihood

### Description

Evaluates the profile penalized likelihood of a variable based on a logistf model fit.

### Usage

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### Arguments

`fitted` |
An object fitted by |

`which` |
A righthand formula to specify the variable for which the profile should be evaluated, e.g., |

`variable` |
Alternatively to |

`steps` |
number of steps in evaluating the profile likelihood |

`pitch` |
alternatively to |

`limits` |
lower and upper limits of parameter values at which profile likelihood is to be evaluated |

`alpha` |
the significance level (1- |

`firth` |
use of Firth's penalized maximum likelihood ( |

`legends` |
legends to be included in the optional plot |

`control` |
Controls Newton-Raphson iteration. Default is |

`plcontrol` |
Controls Newton-Raphson iteration for the estimation of the profile likelihood confidence intervals.
Default is |

`plot` |
If TRUE, profile likelihood is plotted. This parameter becomes obsolete as a generic |

`...` |
Further arguments to be passed. |

### Value

An object of class `logistf.profile`

with the following items:

`beta` |
parameter values at which likelihood was evaluated |

`stdbeta` |
parameter values divided by standard error |

`profile` |
profile likelihood, standardized to 0 at maximum of likelihood. The values in profile are given as minus |

`loglike` |
unstandardized profile likelihood |

`signed.root` |
signed root ( |

`cdf` |
profile likelihood expressed as cumulative distribution function, obtained as |

### Author(s)

Georg Heinze and Meinhard Ploner

### See Also

`plot.profile.logistf`

### Examples

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