Why do you want to quote "sigma" level anyway? It's more or less meaningless 
for the reasons you give. Stick to e/A^3

</flame>
Phil

On 22 Dec 2010, at 22:02, Dale Tronrud wrote:

> Hi,
> 
>   I have a crystal structure at 3A resolution with six copies in the
> asu.  When I average the map over the ncs I find that the original
> 2Fo-Fc style map has a sigma of 1.5 at 0.3 e/A^3.  When I adjust the
> contour level of the averaged map to match, by eye, the level of the
> unaveraged map I find them equivalent at a sigma of 2.6 at 0.28 e/A^3.
> These results imply that the "sigma" level of the original map was
> 0.2 e/A^3 and the averaged map was 0.11 e/A^3.
> 
>   The "sigma" of a 2Fo-Fc style map is not an estimate of uncertainty,
> of course, because nearly everything in the map is signal.  It is
> just a measure of the variability of the signal, i.e. the rms.  With
> averaging the signal should be preserved and the noise reduced, but
> the noise of a 2Fo-Fc map is small compared to the signal.  How is
> it that the rms of my averaged map drops to half of the unaveraged
> value and yet the electron density looks about the same when contoured
> at the same e/A^3 (0.3 vrs 0.28)?
> 
>   I guess the real question is, how does Coot calculate the "sigma"
> of an averaged map?  You can't calculate the rms over the asymmetric
> unit because the asymmetric unit is many millions of unit cells in
> size (and hugely variable depending on small changes in the ncs
> operators).
> 
>   The problem at hand is that I want to quote the sigma level I
> insisted upon when creating water molecules and think it will sound
> weird if I say I used a value of 12, which I did.  The numbers just
> don't seem right to me so I'd like a little reassurance.
> 
> Dale Tronrud

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