On Fri, 29 Apr 2005, Berton Gunter wrote:



-- Bert Gunter
Genentech Non-Clinical Statistics
South San Francisco, CA

"The business of the statistician is to catalyze the scientific learning
process."  - George E. P. Box



-----Original Message-----
From: [EMAIL PROTECTED]
[mailto:[EMAIL PROTECTED] On Behalf Of
[EMAIL PROTECTED]
Sent: Friday, April 29, 2005 9:26 AM
To: r-help@stat.math.ethz.ch
Subject: [R] robust model selection criteria

Dear R-help-team,

do you know if there is a package for R available that
contains a function,
which calculates a robust model selection criterium like

robust AIC and has
a robust selection function like "step" for lm-objects, for
an  rlm-object.
Unfortunately, functions like "step" or "stepAIC" cannot be applied to
rlm-objects. Moreover, these functions do not use  robust AIC.


??? How could this be meaningful? The robust "likelihood" need not increase as more parameters are added because of the robust reweighting (points would be downweighted differently in the different models). How do you account for the number of "parameters" in a robust model given that it is in essence nonlinear?

(This comment subject to correction/expansion by wiser heads than me)

More fundamentally, `AIC' is about maximum-likelihood fitting of true models. Now rlm does usually correspond to ML fitting of a non-normal linear model, so it would be possible to compute a likelihood and hence AIC. The point however is that the model is assumed to be false. There are AIC-like criteria for that situation, but they are essentially impossible to compute accurately as they depend on fine details of the unknown true error distribution (and still assume a linear model).



-- Bert Gunter Genentech Non-Clinical Statistics South San Francisco, CA

"The business of the statistician is to catalyze the scientific learning
process."  - George E. P. Box

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