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The only way to interpret the contrast is that the sum of A and C is
greater than B. In my opinion, this is a bad contrast. If A=B=C, then you
will still find an effect with the contrast. The reason for this is that
A+C>B will always be true is this case as 2*A>A, by substitution. Also if
A=C=0 and B is negative, then you would also get an effect, but I wouldn't
call it activation as A and C are 0.

The better contrast for investigating A and C > B, would be A/2+C/2>B. This
means that the average of A and C is greater than B.

Hope this helps.


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 Mon, Dec 1, 2014 at 9:42 AM, Daniela Rabellino <[log in to unmask]
> wrote:

> Dear Helmut,
>
> Thanks for your clarification and possible solutions.
>
> Just to be sure that I understood correctly, in case I also keep
> investigating the T contrast A-B+C, is it correct to state that we are
> answering the question:
> "Which brain areas show activation > 0 in response to A OR in response to
> C (-B), as an additive effect?"
>
> In this case, we cannot know, whether it is activation > 0, it is due to
> A, C, or both (if A=0 and C>0 I would still obtain a result), correct?
>
> Thank you for your help.
> Daniela
>
>
>
> On 2014-11-30 12:48, Helmut Nebl wrote:
>
>> Dear Danila,
>>
>> No. With [1 -1 1 0 0 0 0 0 0] you test whether (A - B + C) > 0 in case
>> of a T contrast or whether (A - B + C) is sig. different from zero in
>> case of an undirected F contrast. You can also think of "Is the sum of
>> A and B larger than B". There are instances in which such a comparison
>> makes sense, but usually it's not what one wants to look at
>>
>> It seems you're interested in
>> 1) voxels/clusters associated with higher activations for A relative
>> to B, this would be [1 -1 0 0 0 0 0 0 0]
>> 2) voxels/clusters showing a positive linear relationship with
>> regressor C, which would be [0 0 1 0 0 0 0 0 0]
>> 3) the conjunction of 1) and 2) = voxels/clusters with an effect A > B
>> AND a positive correlation with C. For setting up a conjunction, you
>> would first specifiy the contrasts for 1) and 2). Then press the
>> Results button once more, select the two contrasts (while holding
>> [control]) and choose "conjunction". However, it has been argued on
>> the mailing list that these conjunctions are statistically invalid for
>> within-subject designs. As a solution, you can save the SPMs for the
>> two contrasts at a certain threshold and generate an image that shows
>> the overlap. This is no proper statistical test of course.
>>
>> Best,
>>
>> Helmut
>>
>