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Dear Reza,

> We are processing DTI data in our LAB in University of california ,  
> San Diego with fsl software version 4.1.3 .Currently we are using  
> fslstats utility of your program. I have noticed a paradox in the  
> output of the program and hereby want to notify you about it :
>
> I have used the following command on the FA map of the DTI of a  
> healthy subject processed by fsl :
>
>  fslstats 1_FAfsl.nii.gz -m -M -s -S -r -R
>
> The FA values are between 0 and 1 . the results of the program are :
>
>
> 0.050226  0.212998  0.120878  0.165211  0.000000  0.487615   
> 0.000000  1.195134
>
> so in the output the program calculated the range for non-zero  
> voxels between zero and 1.195 which is not correct at all (0<FA  
> value <1)

FA values > 1 is a consequence of a negative eigenvalue of the tensor.  
It is true that this is something that is "physically" impossible, but  
in practice something that is frequently observed with noisy data.  
Consider a voxel in an area with little/no signal. The true  
eigenvalues should be [0 0 0] (i.e. we have no signal and no  
diffusion). However, the estimated eigenvalues will be associated with  
some uncertainty e, so you'll really observe [0ħe 0ħe 0ħe], and hence  
some of those values will be negative leading to FA>1.

> -in the second stage we used the internal capsule , and purely  
> internal capsule as the ROI and the results are as follows :
>
> -fslstats IC_FA.nii.gz -m -M -s -S -r -R
>
> 0.000010  0.607764  0.002601  0.251947  0.565753  0.791101   
> 0.000000  0.793482
>
> So according to the program results the range of data f is 0.56 -  
> 0.79 , the mean for non-zero is 0.607 , however the SD for non-zero  
> is 0.2519 .It looks completely unacceptable .

0.56 -- 0.79 is the "robust" range, i.e. ignoring the tails of the  
observed distribution of values. The full range is 0 -- 0.79, the next  
two values. And then an s.d. of 0.25 looks more plausible.

Good Luck Jesper