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Typo that could lead to confusion: "those4" should just read "those"

Jim Porter
TRiCAM Lab Coordinator
Elliott Hall N437
612.624.3892
www.psych.umn.edu/research/tricam 



James N. Porter wrote:
> Howdy FSLers-
>
> I have a question about proper design matrix procedures.
>
> First, say I've performed lower-level FEATs and obtained 8 copes (A-H) 
> for my 8 task conditions for each subjects' repeated scans. Next, I 
> run a higher-level analysis that obtains the subjects' means for the 8 
> copes across their scans. Then I run a higher-level analysis to obtain 
> contrasts between these 8 copes. My inputs are cope images, of which 
> each subject has 8. Here is my EV matrix for this set up (for 
> simplicity, as if I only had 2 subjects):
>
>                             A   B   C   D   E   F   G   H
> cope1.feat/stats/cope1.nii  1   0   0   0   0   0   0   0
> cope1.feat/stats/cope2.nii  1   0   0   0   0   0   0   0
> cope2.feat/stats/cope1.nii  0   1   0   0   0   0   0   0
> cope2.feat/stats/cope2.nii  0   1   0   0   0   0   0   0
> cope3.feat/stats/cope1.nii  0   0   1   0   0   0   0   0
> cope3.feat/stats/cope2.nii  0   0   1   0   0   0   0   0
> cope4.feat/stats/cope1.nii  0   0   0   1   0   0   0   0
> cope4.feat/stats/cope2.nii  0   0   0   1   0   0   0   0
> cope5.feat/stats/cope1.nii  0   0   0   0   1   0   0   0
> cope5.feat/stats/cope2.nii  0   0   0   0   1   0   0   0
> cope6.feat/stats/cope1.nii  0   0   0   0   0   1   0   0
> cope6.feat/stats/cope2.nii  0   0   0   0   0   1   0   0
> cope7.feat/stats/cope1.nii  0   0   0   0   0   0   1   0
> cope7.feat/stats/cope2.nii  0   0   0   0   0   0   1   0
> cope8.feat/stats/cope1.nii  0   0   0   0   0   0   0   1
> cope8.feat/stats/cope2.nii  0   0   0   0   0   0   0   1
>
> Now say I wanted to know the results of the contrasts
>     1-- ((A-B)-(C-D)) - ((E-F)-(G-H))
>     2-- ((A-C)-(B-D)) - ((E-G)-(F-H))
>
> Would it be mathematically/statistically correct to simply perform a 
> distribution of the signs/operators and end up with contrasts coded as:
>          A  B  C  D  E  F  G  H
>     1--  1 -1 -1  1 -1  1  1 -1
>     2--  1  1 -1  1 -1  1  1 -1
>
> Under this method, I can imagine two conceptually distinct contrasts 
> that multiply out to have the same ±1 values, which I also imagine 
> would be a bad thing. If so, would my analysis path be required to 
> follow the old PEMDAS rules and find the values of each parenthetical 
> contrast in the prescribed order? In other words, is it best to
>
> 1) define the /elements/ of a higher-order contrast in the lower-level 
> analyses, obtain subject means on the elements in a higher-level 
> analysis, then contrast those results in one shot in a group means 
> higher-level analysis, or
>
> 2) set up all desired higher-order contrasts from the get-go at the 
> single-subject level, then simply obtain subject and group means for 
> those4 copes (performing no extra contrasting) with the higher-level 
> analyses?
>
> Thanks for all your help,
>
> -- 
> Jim Porter
> TRiCAM Lab Coordinator
> Elliott Hall N437
> 612.624.3892
> www.psych.umn.edu/research/tricam