I would add Ordinary Least Squares (It may be the same as your SS), Weighted 
Least Squares, Maximum Likelihood and Restricted Maximum Likelihood.
These four methods are available in the function likfit of the package geoR.
I've been using it a little bit and I think sometimes one method works better 
than the other one but I don't know the clues for making an a priori decision!


Mª Pilar Tugores Ferrà

Becaria FPI - PhD Student

Acústica de Pesquerías

I.E.O. - Centro Oceanográfico de Baleares 

Muelle de Poniente s/n

07015 Palma de Mallorca (España)

Tel.: (34) 971 401561


-----Mensaje original-----
De: [EMAIL PROTECTED] [mailto:[EMAIL PROTECTED] En nombre de G. Allegri
Enviado el: 21 August 2008 00:09
Para: Paul Hiemstra
CC: r-sig-geo@stat.math.ethz.ch
Asunto: Re: [R-sig-Geo] variogram question

> You spoke of more sophisticated methods of automatically choosing between 
> models, what kind of methods did you have in mind?

Here's a list I gathered some time ago. Many of them are just buzzwords form me!

‧ Adjusted R-squared (Wherry 1931)
‧ Bootstrap (Efron 1979)
‧ Cross-validation (Stone 1974; Geisser 1975)
    – Generalized cross-validation (GCV) (Craven and Wahba 1979)
    – k-fold cross-validation
    – Leave-one-out cross-validation
‧ Jacknife
‧ Linear regression
‧ Shibata's model selector (sms) (Shibata 1981)
‧ Signal-to-noise ratio
‧ Test set validation
‧ Akaike information criterion (AIC)
   – AIC (Akaike 1973)
   – AICc (Hurvich and Tsai 1989)
   – QAIC (Lebreton, et al. 1992)
   – QAICc (Lebreton, et al. 1992)
   – AICW (Wilks 1995)
‧ CAT (Parzen 1974, 1977)
‧ CP (Mallow's Cp) (Mallows 1973)
‧ Deviance information criterion (DIC) (Spiegelhalter, et al. 2002)
‧ FIC (Wei 1992)
‧ Final prediction error (FPE) (Akaike 1969)
‧ FPEα (Bhansali and Downham 1977)
‧ FPEC (de Luna 1998)
‧ FPER (Larsen and Hansen 1994)
‧ GM (Geweke and Meese 1981)
‧ Generalized prediction error (GPE) (Moody 1991, 1992)
‧ Hannan and Quinn Criterion (HQ) (Hannan and Quinn 1979)
‧ KIC (Cavanaugh 1999)
‧ KICc (Cavanaugh 2004)
‧ Minimum description length (MDL) (Rissanen 1978)
‧ Minimum message length (MML) (Wallace and Boulton 1968)
‧ Predicted squared error (PSE) (Barron 1984)
‧ PRESS (Allen 1974)
‧ Schwarz criterion (also Schwarz information criterion (SIC) or
Bayesian information criterion (BIC) or Schwarz-Bayesian information
criterion) (Schwarz 1978)
‧ Structural risk minimization (SRM) (Vapnik and Chervonenkis 1974)
‧ TIC (Takeuchi's information criterion) (Takeuchi 1976)
‧ VC-dimension (Vapnik and Chervonekis 1968, 1971; Vapnik 1979)
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