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On 10/11/2011 09:58 PM, Ethan Merritt wrote:
> On Tuesday, October 11, 2011 12:33:09 pm Garib N Murshudov wrote:
>> In the limit yes. however limit is when we do not have solution, i.e. when 
>> model errors are very large.  In the limit map coefficients will be 0 even 
>> for 2mFo-DFc maps. In refinement we have some model. At the moment we have 
>> choice between 0 and DFc. 0 is not the best estimate as Ed rightly points 
>> out. We replace (I am sorry for self promotion, nevertheless: Murshudov et 
>> al, 1997) "absent" reflection with DFc, but it introduces bias. Bias becomes 
>> stronger as the number of "absent" reflections become larger. We need better 
>> way of estimating "unobserved" reflections. In statistics there are few 
>> appraoches. None of them is full proof, all of them are computationally 
>> expensive. One of the techniques is called multiple imputation.
> 
> I don't quite follow how one would generate multiple imputations in this case.
> 
> Would this be equivalent to generating a map from (Nobs - N) refls, then
> filling in F_estimate for those N refls by back-transforming the map?
> Sort of like phase extension, except generating new Fs rather than new phases?

Some people call this the "free-lunch-algorithm" ;-)
Tim

>       Ethan
> [...]
- -- 
- --
Dr Tim Gruene
Institut fuer anorganische Chemie
Tammannstr. 4
D-37077 Goettingen

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