Exact deletion residuals
Function to derive exact values of deletion (leave-one-out) residuals for binomial regression models
An object of class
The ith 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 ith 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
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
A vector with exact deletion residuals
Merete K Hansen
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.
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