Hi Doug,

Thanks for replying. Yet I have a question on this matrix. From what I see,
each row corresponds to one contrast, which has one df. Thus why are we
having 8 rows while the interaction has a df of 4?

Thanks,
Cherry

On Sun, Nov 18, 2012 at 6:23 PM, Douglas Greve <gr...@nmr.mgh.harvard.edu>wrote:

>
> Hi Bo, you can think of  the Ftest as a logical 'OR' between the t-test
> contrasts indicated in each row. Each row is a difference of differences, so
>
> 1. (A-B)om - (A-B)pm --> Does the difference between A and B differ
> between groups O and P for Males?
> 2. (A-B)om - (A-B)qm
> 3. (A-C)om - (A-C)pm
> 4. (A-C)om - (A-C)qm
> 5. (A-B)of - (A-B)pf --> Does the difference between A and B differ
> between groups O and P for Females?
> 6. (A-B)of - (A-B)qf
> 7. (A-C)of - (A-C)pf
> 8. (A-C)of - (A-C)pf
>
> I've put together the first 9 columns of the first 4 rows. The last 9
> columns are all 0s. For the last for rows, the 0s and below matrix are
> swapped to give you the same for the females
>
> doug
>
>  AOM  BOM  APM  BPM  AQM  BQM  COM  CPM
> CQM
> --------------------------------------------------------------------------
>  +AOM -BOM -APM -BPM    0    0    0    0
> 0
>  +AOM -BOM    0    0 -AQM +BQM    0    0
> 0
>  +AOM    0 -APM    0    0    0 -COM +CPM
> 0
>  +AOM    0    0    0 -AQM      -COM    0
> +CQM
>
>
>
> On 11/17/12 9:21 PM, xiangbo_2010 wrote:
>
>   Hi Freesurfer experts,****
>
>  I'm very sorry to bother you, but I am very confused with the following
> questions:
>
> My experimental design includes three discrete factors:  factor
> 1 with three levels (A,B,C ); factor 2 with three levels (O,P,Q); gender
> (F, M), and one covariate.
>
> So I can get 18 classes: FAO, FAP,FAQ,FBO,FBP,FBQ,FCO,FCP,FCQ,MAO,
> MAP,MAQ,MBO,MBP,MBQ,MCO,MCP,MCQ.  I want to perform the interaction
> between factor 1 and factor 2 regressing out the effect of gender and one
> covariate, but I don't know the rules for setting the contrasts for the
> F-test.  The contrast matrix I used is:
>
> 1 1 1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
>
> 1 -1 0 1 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
>
> 1 1 1 0 0 0 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
>
> 1 0 -1 1 0 -1 1 0 -1  0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
> 0
>
> 0 0 0 0 0 0 0 0 0 1 1 1 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
> 0
>
> 0 0 0 0 0 0 0 0 0 1 -1 0 1 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
> 0
>
> 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 -1 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
> 0
>
> 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
> 0
>
> is it correct?
>
>
>
> Any help will be very appreciated.
>
>
>
> Best wishes,
>
>
>
> Bo Xiang
>
>
>
>
>
>
>
>
>
>
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