Dear Andre, 

I would strongly advice you to look at the article by Lunin and Skovoroda (Acta 
Cryst, A, 1995) that addresses exactly your question: 

[ https://scripts.iucr.org/cgi-bin/paper?vs0124 | 
https://scripts.iucr.org/cgi-bin/paper?vs0124 ] 

The authors remind a very important point that after model refinement ML phase 
errors are strongly underestimated if using all reflections, as that was done 
in the original works (see references in the article). While the same ML 
estimates work perfectly for unrefined models, that's not the case for refined 
ones, as was observed yet in the beginning of 80ths. 
These authors show then that using the test-set of reflections (the same as for 
R-free) is crucial to get the correct phase error estimates and respective FOMs 
for all cases, as this is implemented now in modern refinement programs. See 
also the article by Pannu & Read (Acta Cryst, A, 1996) 

[ https://onlinelibrary.wiley.com/doi/pdf/10.1107/S0108767396004370 | 
https://onlinelibrary.wiley.com/doi/pdf/10.1107/S0108767396004370 ] 

A more recent important article on this topic is that by Praznikar and Turk 
(Acta Cryst, D, 2009) 

[ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4257616/ | 
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4257616/ ] 

who discuss what can be done if a statistically significant test set of 
reflections is not available. 

I hope this helps you. 

With best wishes, 

Sacha Urzhumtsev 

----- Le 3 Oct 19, à 2:17, Andre LB Ambrosio <an...@ifsc.usp.br> a écrit : 

> Dear Jonathan, many thanks for this. I will have a look at it right away.
> With best wishes,
> Andre.

> On Wed, Oct 2, 2019, 7:51 PM Jonathan Cooper < [ mailto:bogba...@yahoo.co.uk |
> bogba...@yahoo.co.uk ] > wrote:

>> This is a very good place to start:

>> [ https://www-structmed.cimr.cam.ac.uk/Course/Statistics/statistics.html |
>> https://www-structmed.cimr.cam.ac.uk/Course/Statistics/statistics.html ]

>> Also recommend this one:

>> [ https://doi.org/10.1107/S0108767386099622 |
>> https://doi.org/10.1107/S0108767386099622 ]

>> and Main, P. (1979) Acta Cryst. A35, 779-85 - the maths in this one are a bit
>> easier!

>> On Wednesday, 2 October 2019, 22:47:56 BST, Andre LB Ambrosio < [
>> mailto:an...@ifsc.usp.br | an...@ifsc.usp.br ] > wrote:

>> Dear all,

>> How is the phase error estimated for any given reflection, specifically in 
>> the
>> context of model refinement? In terms of math I mean.

>> How useful is FOM in assessing the phase quality, when not for initial
>> experimental phases?

>> Many thank in advance,

>> Andre.

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