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How can there be nothing "wrong" with something that is unphysical?  Intensities cannot be negative.  How could you measure a negative number of photons?  You can only have a Gaussian distribution around I=0 if you are using an incorrect, unphysical statistical model.  As I understand it, the physics predicts that intensities from diffraction should be gamma distributed (i.e., the square of a Gaussian variate), which makes sense as the gamma distribution assigns probability 0 to negative values.  


On Jun 20, 2013, at 1:00 PM, Bernard D Santarsiero <[log in to unmask]> wrote:

> There's absolutely nothing "wrong" with negative intensities. They are measurements of intensities that are near zero, and some will be negative, and others positive.  The distribution around I=0 can still be Gaussian, and you have true esd's.  With F's you used a derived esd since they can't be formally generated from the sigma's on I, and are very much undetermined for small intensities and small F's. 
> 
> Small molecule crystallographers routinely refine on F^2 and use all of the data, even if the F^2's are negative.
> 
> Bernie
> 
> On Jun 20, 2013, at 11:49 AM, Douglas Theobald wrote:
> 
>> Seems to me that the negative Is should be dealt with early on, in the integration step.  Why exactly do integration programs report negative Is to begin with?
>> 
>> 
>> On Jun 20, 2013, at 12:45 PM, Dom Bellini <[log in to unmask]> wrote:
>> 
>>> Wouldnt be possible to take advantage of negative Is to extrapolate/estimate the decay of scattering background (kind of Wilson plot of background scattering) to flat out the background and push all the Is to positive values?
>>> 
>>> More of a question rather than a suggestion ...
>>> 
>>> D
>>> 
>>> 
>>> 
>>> From: CCP4 bulletin board [mailto:[log in to unmask]] On Behalf Of Ian Tickle
>>> Sent: 20 June 2013 17:34
>>> To: ccp4bb
>>> Subject: Re: [ccp4bb] ctruncate bug?
>>> 
>>> Yes higher R factors is the usual reason people don't like I-based refinement!
>>> 
>>> Anyway, refining against Is doesn't solve the problem, it only postpones it: you still need the Fs for maps! (though errors in Fs may be less critical then).
>>> -- Ian
>>> 
>>> On 20 June 2013 17:20, Dale Tronrud <[log in to unmask]<mailto:[log in to unmask]>> wrote:
>>> If you are refining against F's you have to find some way to avoid
>>> calculating the square root of a negative number.  That is why people
>>> have historically rejected negative I's and why Truncate and cTruncate
>>> were invented.
>>> 
>>> When refining against I, the calculation of (Iobs - Icalc)^2 couldn't
>>> care less if Iobs happens to be negative.
>>> 
>>> As for why people still refine against F...  When I was distributing
>>> a refinement package it could refine against I but no one wanted to do
>>> that.  The "R values" ended up higher, but they were looking at R
>>> values calculated from F's.  Of course the F based R values are lower
>>> when you refine against F's, that means nothing.
>>> 
>>> If we could get the PDB to report both the F and I based R values
>>> for all models maybe we could get a start toward moving to intensity
>>> refinement.
>>> 
>>> Dale Tronrud
>>> 
>>> 
>>> On 06/20/2013 09:06 AM, Douglas Theobald wrote:
>>> Just trying to understand the basic issues here.  How could refining directly against intensities solve the fundamental problem of negative intensity values?
>>> 
>>> 
>>> On Jun 20, 2013, at 11:34 AM, Bernhard Rupp <[log in to unmask]<mailto:[log in to unmask]>> wrote:
>>> As a maybe better alternative, we should (once again) consider to refine against intensities (and I guess George Sheldrick would agree here).
>>> 
>>> I have a simple question - what exactly, short of some sort of historic inertia (or memory lapse), is the reason NOT to refine against intensities?
>>> 
>>> Best, BR
>>> 
>>> 
>>> 
>>> 
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