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On Mon, Feb 25, 2013 at 5:26 PM, Daniel Cole <[log in to unmask]> wrote:
> Hi Donald thanks for the response,
>
>
>> You can't do these types of statistics on 2 subjects.
>
> Do these types of designs simply lack power for 2 subjects?  I apologize as
> I'm not particularly savvy about design efficiency and such things.
> Wouldn't the linear trend analysis be an "ok" analysis for a small subject
> pool since it's comparing within subjects?  Are there other types of
> analyses that you could recommend?

>>> There really aren't any designs that work with 2 subjects. Jeanette Mumford has posted on this before. The statistics in FSL are the same as any statistics program. Think of a one-sample t-test, you wouldn't be allowed to use it with 2 subjects. Most people would say you need at least 5-10 subjects before the t-test would work. For small samples, randomise will be better, but with 2 subjects, it still wouldn't work. When you collect your 10 subjects, then the tests will be possible.


>
> I think you may have been mistaken about my EV values for the 2nd design.
> The 3rd and 4th session EVs are technically -0.5 and +0.5 but are written in
> scientific notation (-5.000000e-01).

>>> Yes. I missed that change in notation. The linear trends are fine. You should put both subjects linear columns in the same column. This analysis will use the within-subject variance, so you'll have a fixed effects analysis as opposed to a random effects analysis. One solution, once you have more subjects is to compute the slope for each subject and then feed the slope into one-sample t-test.

>
> Thanks again for your advice!
>
> Daniel
>
>
>
> On Mon, Feb 25, 2013 at 2:53 PM, MCLAREN, Donald <[log in to unmask]>
> wrote:
>>
>> Daniel,
>>
>> You can't do these types of statistics on 2 subjects. It looks like #1
>> is correct, but #2 is odd as S3 is the first scan collected and S4 is
>> the last scan collected. If the scans go from S1 to S6, then you will
>> want the covariate to go in the same direction across all scans. [-2.5
>> -1.5 -.5 .5 1.5 2.5]
>>
>> 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, Feb 25, 2013 at 1:20 PM, Daniel Cole <[log in to unmask]>
>> wrote:
>> > Hello FSLers,
>> > I'll start by explaining my experiment.  We have 2 monkey subjects who
>> > have
>> > been receiving training on an identical test over the period of months.
>> > I
>> > currently have 6 structural scans (6 test sessions) and would like to 1)
>> > see
>> > if any one session is different from the last (6th) scan and 2) see if
>> > there
>> > is a linear growth or shrinking of grey matter over the 6 sessions.
>> >
>> >
>> > 1) ANOVA 1 Factor 4-Levels (Repeated Measures)
>> > From looking at the FEAT Manual
>> > (http://fsl.fmrib.ox.ac.uk/fsl/fslwiki/FEAT/UserGuide#FEAT_Basics) I've
>> > created the following design matrix and contrasts.  The first two EVs
>> > are
>> > separate mean EVs for each subject and the rest model each session
>> > (except
>> > the 6th) across both subjects.
>> >
>> > Matrix
>> > 1.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00
>> > 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00
>> > 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00
>> >
>> > Contrasts
>> > C1:1-6  0.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00 *
>> > C2:2-6  0.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00
>> > 0.000000e+00 0.000000e+00 *
>> > C3:3-6  0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00
>> > 0.000000e+00 0.000000e+00 *
>> > C4:4-6  0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 *
>> > C5:5-6  0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 *
>> > C6:6-1  0.000000e+00 0.000000e+00 -1.000000e+00 0.000000e+00
>> > 0.000000e+00
>> > 0.000000e+00 0.000000e+00 **
>> > C7:6-2  0.000000e+00 0.000000e+00 0.000000e+00 -1.000000e+00
>> > 0.000000e+00
>> > 0.000000e+00 0.000000e+00 **
>> > C8:6-3  0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > -1.000000e+00
>> > 0.000000e+00 0.000000e+00 **
>> > C9:6-4  0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > -1.000000e+00 0.000000e+00 **
>> > C10:6-5 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > 0.000000e+00 -1.000000e+00 **
>> > * and ** denote F-Tests
>> >
>> > My questions for the ANOVA are a) Is this the correct setup for the
>> > question
>> > I posed (looking for any difference effect with N scan and the 6th
>> > scan)?
>> > and b) What exactly would the -1 contrasts be showing?  The activation
>> > for
>> > corresponding contrasts (C1 and C6) have no overlap, which might be
>> > expected, but I'm still unsure "what question" this contrast is asking.
>> >
>> >
>> > 2) Linear Trend
>> >
>> > Matrix
>> > 1.000000e+00 0.000000e+00 -2.500000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 -1.500000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 -5.000000e-01 0.000000e+00
>> > 1.000000e+00 0.000000e+00 5.000000e-01 0.000000e+00
>> > 1.000000e+00 0.000000e+00 1.500000e+00 0.000000e+00
>> > 1.000000e+00 0.000000e+00 2.500000e+00 0.000000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 -2.500000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 -1.500000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 -5.000000e-01
>> > 0.000000e+00 1.000000e+00 0.000000e+00 5.000000e-01
>> > 0.000000e+00 1.000000e+00 0.000000e+00 1.500000e+00
>> > 0.000000e+00 1.000000e+00 0.000000e+00 2.500000e+00
>> >
>> > Contrasts
>> > C1: Sub1 Mean    1.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
>> > C2: Sub2 Mean    0.000000e+00 1.000000e+00 0.000000e+00 0.000000e+00
>> > C3: Sub1 Linear+ 0.000000e+00 0.000000e+00 1.000000e+00 0.000000e+00
>> > C4: Sub2 Linear+ 0.000000e+00 0.000000e+00 0.000000e+00 1.000000e+00
>> > C5: Sub1 Linear- 0.000000e+00 0.000000e+00 -1.000000e+00 0.000000e+00
>> > C6: Sub2 Linear- 0.000000e+00 0.000000e+00 0.000000e+00 -1.000000e+00
>> >
>> > Does this design look appropriate for the question- 'Where is grey
>> > matter
>> > increasing linearly across sessions and where is it decreasing?'
>> >
>> >
>> > Thank you very much for your time and help in teaching me to understand
>> > this
>> > program.
>> >
>> > Daniel
>> > --
>> > Daniel Cole
>> > University of Rochester
>> > Brain and Cognitive Sciences
>> > [log in to unmask]
>
>
>
>
> --
> Daniel Cole
> University of Rochester
> Brain and Cognitive Sciences
> [log in to unmask]