Dear Edward,
Thanks for your early suggestion regarding different model selections. I have
been busy on other stuff and only recently got time to focus on this subject
again.
I have run all the diffusion models e.g. isotropic, prolate, oblate and
ellipsoid and model selections were made within each model (in aic directory).
I am not sure how to write a script to select different models using 
'model_selection()'. Could you please do me a favor?
Your help is highly appreciated!
Best wishes,
Hongyan

Quoting Edward d'Auvergne <[EMAIL PROTECTED]>:

> Hi,
> 
> To compare the results what you need to employ is a technique from the
> statistical field of model selection.  The spherical diffusion
> (isotropic) + all model-free models of all selected residues is one
> single mathematical model.  The prolate and oblate spheroids (prolate
> and oblate axially symmetric anisotropic diffusion tensors) + all
> model-free models, and the ellipsoid (fully anisotropic or three
> different eigenvalues) + all model-free models, are three additional
> mathematical models.  Therefore to compare these four different models
> you need to select the model which best represents your relaxation
> data.  These models are, however, not nested and therefore cannot be
> compared using ANOVA F-tests!  Firstly the three types of diffusion
> tensor are not nested (there is a reference from Dominique Marion's
> group in which they say ANOVA statistics cannot be used but I can't
> find it at the moment (although it shouldn't be too hard to track
> down, it's related to Tensor)).  Secondly the model-free models
> selected will be different between the four models.  Hence chi-squared
> and F-tests cannot be used.
> 
> A useful reference (I'm not at all biased ;) for this problem is my
> paper d'Auvergne, E. J. and Gooley, P. R. (2003), (see
> http://www.nmr-relax.com/refs.html for the full reference).  On page
> 37 at the end of that paper I discuss how AIC model selection is
> perfect for selecting between these non-nested models.  The AIC
> criterion is still
> 
> AIC = chi2 + 2k,
> 
> however chi2 is the minimised chi-squared value for the complete model
> and k is the sum of the number of diffusion parameters and number of
> model-free parameters for all spin systems.  BIC model selection is
> likely to work quite well as well.  If you have four runs, one for
> each of the diffusion models, then the relax user function
> 'model_selection()' is designed to select between these models.  I
> hope this helps and hasn't been too biased.
> 
> Cheers,
> 
> Edward
> 
> 
> P.S.  Prior to model selection between the diffusion models, the
> diffusion models must have fully converged.  Multiple iterations of
> optimisation of the model-free models, AIC model selection, and
> optimisation of all parameters together (diffusion tensor + model-free
> parameter of all residues) must be executed.  Convergence is when two
> iterations possess identical chi-squared values, identical model-free
> models, and identical parameter values.
> 
> 
> On 3/2/07, Hongyan Li <[EMAIL PROTECTED]> wrote:
> > Dear relax users,
> > I have managed to use Relax to run my dynamics data by both isotropic and
> > axial-oblate models. My qestion is how to compare the results, by
> chi-square??
> > what is the criteria to make judgment that which residues is beter
> simulated
> > with which model?
> >
> > Thanks for your kind help!
> >
> > Best wishes,
> >
> > Hongyan
> >
> > Dr. Hongyan Li
> > Department of Chemistry
> > The University of Hong Kong
> > Pokfulam Road
> > Hong Kong
> >
> >
> > _______________________________________________
> > relax (http://nmr-relax.com)
> >
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> 


Dr. Hongyan Li
Department of Chemistry
The University of Hong Kong
Pokfulam Road
Hong Kong


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