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Hi, yes that all makes sense. Approach 2 is what you want and you're right
to take out the constant-EV ev1 from your original email.

Cheers.


On Tue, 31 Aug 2004, Xun Liu wrote:

> On Tue, 31 Aug 2004 21:17:33 +0100, X Liu <[log in to unmask]> wrote:
>
> >Concatenate run/session or not?
> >
> >We have a design with 2 independent variables (IV1 and IV2), each with 3
> >levels. IV1 is manipulated across blocks within a run and IV2 is
> >manipulated across runs. There are two approaches I can think of to anaylze
> >the data for the main effects and interaction for this design. What is the
> >advantage and disadvantage of each approach, from the conceptual and
> >practical perspectives? Is one more valid than the other from the
> >statistics point of view? Thanks very much.
> >
> >
> >Approach 2:
> >Analyze each run separately and model just the 3 conditions/levels of IV1
> >(ev1, ev2, ev3). Then the main effects of IV1 can be set up as below.
> >
> >Contrast ev1 ev2 ev3
> >mean (1)  1   1   1
> >IV1  (2)  1  -1   0
> >     (3)  1   0  -1
> >     (4)  0   1  -1
> >
> >And then proceed to the group analysis with the EVs/contrasts setup as
> >below for the three levels of IV2 (say for 5 subjects)
> >
> >Group ev1 ev2 ev3 ev4 ev5 ev6 ev7 ev8
> >1      1   1   1   1   0   0   0   0
> >1      1   1   1   0   1   0   0   0
> >1      1   1   1   0   0   1   0   0
> >1      1   1   1   0   0   0   1   0
> >1      1   1   1   0   0   0   0   1
> >1      1  -1   0   1   0   0   0   0
> >1      1  -1   0   0   1   0   0   0
> >1      1  -1   0   0   0   1   0   0
> >1      1  -1   0   0   0   0   1   0
> >1      1  -1   0   0   0   0   0   1
> >1      1   0  -1   1   0   0   0   0
> >1      1   0  -1   0   1   0   0   0
> >1      1   0  -1   0   0   1   0   0
> >1      1   0  -1   0   0   0   1   0
> >1      1   0  -1   0   0   0   0   1
> >
> >Contrast ev1 ev2 ev3 ev4 ev5 ev6 ev7 ev8
> >c1        1   0   0   0   0   0   0   0
> >c2        0   1   0   0   0   0   0   0
> >c3        0   0   1   0   0   0   0   0
> >c4        0   1  -1   0   0   0   0   0
> >
> >Then the .gfeat folder should include 4 cope#.feat subfolders, one for each
> >of the contrasts from the first level. zstat2 to zstat4 of cope1.feat will
> >assess the main effect of IV2 (zstat1 is the overall grand mean of both IVs
> >again baseline). zstat1 of cope2.feat to cope4.feat will assess the main
> >effect of IV1. zstat2 to zstat4 of cope2.feat to cope4.feat will assess the
> >interactions.
>
> Just found out an error. To correct myself, ev1 is a linear combination of
> ev4 to ev8. So take out ev1 and contrast 1 is just the combination of the
> new ev3 to ev7 (weighted or not WRT to the other contrasts?). The
> interpretation of the main effects and interaction above stands.
>
> Group ev1 ev2 ev3 ev4 ev5 ev6 ev7
> 1      1   1   1   0   0   0   0
> 1      1   1   0   1   0   0   0
> 1      1   1   0   0   1   0   0
> 1      1   1   0   0   0   1   0
> 1      1   1   0   0   0   0   1
> 1     -1   0   1   0   0   0   0
> 1     -1   0   0   1   0   0   0
> 1     -1   0   0   0   1   0   0
> 1     -1   0   0   0   0   1   0
> 1     -1   0   0   0   0   0   1
> 1      0  -1   1   0   0   0   0
> 1      0  -1   0   1   0   0   0
> 1      0  -1   0   0   1   0   0
> 1      0  -1   0   0   0   1   0
> 1      0  -1   0   0   0   0   1
>
> Contrast ev1 ev2 ev3 ev4 ev5 ev6 ev7
> c1        0   0  0.2 0.2 0.2 0.2 0.2
> c2        1   0   0   0   0   0   0
> c3        0   1   0   0   0   0   0
> c4        1  -1   0   0   0   0   0
>

 Stephen M. Smith  DPhil
 Associate Director, FMRIB and Analysis Research Coordinator

 Oxford University Centre for Functional MRI of the Brain
 John Radcliffe Hospital, Headington, Oxford OX3 9DU, UK
 +44 (0) 1865 222726  (fax 222717)

 [log in to unmask]  http://www.fmrib.ox.ac.uk/~steve