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Try using:
pinv(K*W*X)*xX.V*pinv(K*W*X)' instead of (X'*X^(-1))

Then you should get the correct solution.

Best Regards, Donald McLaren
=================
D.G. McLaren, Ph.D.
Research Fellow, Department of Neurology, Massachusetts General Hospital and
Harvard Medical School
Postdoctoral Research Fellow, GRECC, Bedford VA
Website: http://www.martinos.org/~mclaren
Office: (773) 406-2464
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On Wed, Oct 30, 2013 at 11:03 PM, YAN Chao-Gan <[log in to unmask]> wrote:

> And here is an example based on 1st level results. The differences in T
> values are pretty big, although the pattern is similar.
>
> I think I missed something in the code?
> *TData = (beta_0001*Contrast(1)+beta_0002*Contrast(2))./(sqrt(
> ResMS*(Contrast*(X'*X)^(-1)*Contrast')));*
>
> Thanks,
>
> Chao-Gan
>
>
> On Wed, Oct 30, 2013 at 10:50 PM, YAN Chao-Gan <[log in to unmask]> wrote:
>
>> Dear SPM experts,
>>
>> Recently I would like to calculate the values based on the estimated
>> files (skip spm_results_ui), I followed the formulas in Page 20 of www.fil.ion.ucl.ac.uk/~mgray/Presentations/2nd
>> level analysis- Design contrast & inference.ppt<http://www.fil.ion.ucl.ac.uk/~mgray/Presentations/2nd%20level%20analysis-%20Design%20contrast%20&%20inference.ppt>
>>
>> X=SPM.xX.X;
>> Contrast=[1 -1];
>> TData =
>> (beta_0001*Contrast(1)+beta_0002*Contrast(2))./(sqrt(ResMS*(Contrast*(X'*X)^(-1)*Contrast')));
>>
>> However, the results (Left in the attached figure) is slightly different
>> from the results generated by spm_results_ui (Right in the attached
>> figure). Furthermore, seems this difference is even bigger when applied to
>> 1st level results (maybe due to the hidden high-pass filtering regressors?)
>>
>> I am wondering if the differences are caused simply by data precision, or
>> I made something wrong in the above code?
>>
>> Thanks a lot for your time and help in advance!
>>
>> Best,
>>
>> Chao-Gan
>>
>>
>> --
>> Chao-Gan YAN, Ph.D.
>> Research Scientist
>> The Nathan Kline Institute for Psychiatric Research, 140 Old Orangeburg
>> Road, Orangeburg, NY 10962
>> Center for the Developing Brain, Child Mind Institute, 445 Park Avenue,
>> New York, NY 10022
>> The Phyllis Green and Randolph Cowen Institute for Pediatric
>> Neuroscience, New York University Child Study Center, New York, NY 10016
>> -
>> Initiating + Service Node
>> The R-fMRI Network (RFMRI.ORG)
>> *http://rfmri.org/yan*
>> http://scholar.google.com/citations?user=lJQ9B58AAAAJ&hl=en
>>
>
>
>
> --
> Chao-Gan YAN, Ph.D.
> Research Scientist
> The Nathan Kline Institute for Psychiatric Research, 140 Old Orangeburg
> Road, Orangeburg, NY 10962
> Center for the Developing Brain, Child Mind Institute, 445 Park Avenue,
> New York, NY 10022
> The Phyllis Green and Randolph Cowen Institute for Pediatric Neuroscience,
> New York University Child Study Center, New York, NY 10016
> -
> Initiating + Service Node
> The R-fMRI Network (RFMRI.ORG)
> *http://rfmri.org/yan*
> http://scholar.google.com/citations?user=lJQ9B58AAAAJ&hl=en
>