# Exact deletion residuals

### Description

Function to derive exact values of deletion (leave-one-out) residuals for binomial regression models

### Usage

1 | ```
exact.deletion(object)
``` |

### Arguments

`object` |
An object of class |

### Details

The *i*th deletion residual is calculated subtracting the
deviances when fitting a linear logistic model to the full set of
*n* observations and fitting the same model to a set of *n-1*
observations excluding the *i*th observation, for *i =
1,...,n*. This gives rise to *n+1* fitting processes and may be
computationally heavy for large data sets.

Approximations to the deletion residuals, as described in Williams
(1987), are provided by `rstudent`

.

Inconsistency regarding the terminology implies that the deletion residuals are called different names in the litterature, including likelihood residuals, studentized residuals, externally studentized residuals, deleted studentized residuals and jack-knife residuals. Conversely, some of these terms refer to different types of residuals

### Value

A vector with exact deletion residuals

### Author(s)

Merete K Hansen

### References

Collett, D. (2003) *Modelling binary data*. Second
edition. Chapman & Hall/CRC.

Fox, J. (2002) *An R and S-Plus Companion to Applied
Regression*. Sage Publ.

Williams, D. A. (1987) Generalized linear model diagnostics using the
deviance and single case deletions. *Applied Statistics*
**36**, 181-191.

### See Also

`Residuals`

, `rstudent`

### Examples

1 2 3 |