suspect Ruben would note that, under a normal assumption, OLS and ML
coincide.  also, I suspect that Ruben's comments also apply to REML
results--altho in that case you may need to restrict inference to random
components.  brian

****************************************************************
Brian Gray
USGS Upper Midwest Environmental Sciences Center
575 Lester Avenue, Onalaska, WI 54650
ph 608-783-7550 ext 19, FAX 608-783-8058
[EMAIL PROTECTED]
*****************************************************************


                                                                                       
                                                
                      "Ruben Roa"                                                      
                                                
                      <[EMAIL PROTECTED]>           To:       vanessa stelzenm�ller 
<[EMAIL PROTECTED]>                              
                      Sent by:                 cc:       [EMAIL PROTECTED]           
                                                
                      ai-geostats-list@        Subject:  Re: AI-GEOSTATS: Akaike's 
information criterion (AIC)                         
                      unil.ch                                                          
                                                
                                                                                       
                                                
                                                                                       
                                                
                      12/18/2002 10:26                                                 
                                                
                      AM                                                               
                                                
                      Please respond to                                                
                                                
                      "Ruben Roa"                                                      
                                                
                                                                                       
                                                
                                                                                       
                                                




>Dear all,
>
>The AIC is used to select the "best" model from a list
>of theoretical functions. I wonder if its necessary
>the models need to be fitted by the same  method ?

Yes. The model must be fitted my maximum likelihood.

>Would it be possible to stress the AIC to select the
>"best" model from models which were fitted for example
>by OLS,WLS, REML etc. This means to use AIC to choose
>the model and the fitting method ?

The algebraic expression for the AIC results from the bias in the maximum
log-likelihood of a model as estimator of the mean expected log-likelihood,
this bias being a function of the number of free parameters in the model.
So it only covers those models fitted by maximum likelihood.

Rub�n
http://webmail.udec.cl

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