Description Usage Arguments Details Value Author(s) References See Also

Objectives that are used in `profile.brglm`

1 2 3 | ```
penalizedDeviance(fm, X, dispersion = 1)
modifiedScoreStatistic(fm, X, dispersion = 1)
``` |

`fm` |
the |

`X` |
the model matrix of the fit on all parameters. |

`dispersion` |
the dispersion parameter. |

These objectives follow the specifications for objectives in the
profileModel package and are used from `profile.brglm`

.

`penalizedDeviance`

returns a deviance-like value corresponding
to a likelihood function penalized by Jeffreys invariant prior. It
has been used by Heinze & Schemper (2002) and by Bull et. al. (2002)
for the construction of confidence intervals for the bias-reduced
estimates in logistic regression. The `X`

argument is the
model matrix of the full (**not** the restricted) fit.

`modifiedScoreStatistic`

mimics `RaoScoreStatistic`

in profileModel, but with the ordinary scores replaced with the
modified scores used for bias reduction. The argument `X`

has
the same interpretation as for `penalizedDeviance`

.

A scalar.

Ioannis Kosmidis, [email protected]

Bull, S. B., Lewinger, J. B. and Lee, S. S. F. (2007). Confidence
intervals for multinomial logistic regression in sparse data.
*Statistics in Medicine* **26**, 903–918.

Heinze, G. and Schemper, M. (2002). A solution to the problem of
separation in logistic regression.
*Statistics in Medicine* **21**, 2409–2419.

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