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FSL  April 2009

FSL April 2009

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Subject:

Re: 2x4 ANOVA, 1 repeated measure

From:

Steve Smith <[log in to unmask]>

Reply-To:

FSL - FMRIB's Software Library <[log in to unmask]>

Date:

Wed, 22 Apr 2009 08:45:47 -1000

Content-Type:

text/plain

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text/plain (257 lines)

HI - we will try to get this added in for future versions,
Cheers.


On 21 Apr 2009, at 11:55, Kern, Kyle wrote:

> Thank you Tom. Would you predict that future versions of randomise  
> will be able to accomodate this type of design? I imagine it is a  
> pretty common setup for longitudinal studies. Also, can anyone  
> suggest alternative approaches to determining the group x time  
> interaction for tbss/vbm? This will be an important issue for me in  
> an upcoming study comparing treatment effects.
>
> thanks a lot,
>
> Kyle Kern
>
>
>
>
> ________________________________________
> From: FSL - FMRIB's Software Library [[log in to unmask]] On Behalf  
> Of Thomas Nichols [[log in to unmask]]
> Sent: Tuesday, April 21, 2009 3:09 AM
> To: [log in to unmask]
> Subject: Re: [FSL] 2x4 ANOVA, 1 repeated measure
>
> Dear Kyle,
>
> Sorry for the delay.  The reason that no one has chimed in is that  
> randomise can't deal with this design in general.  As you concisely  
> state, you have 2-way repeated measures ANOVA, 1 within-subject  
> factor (time) and 1 between subject factor (group) (and the repeated  
> 'cluster' variable subject).
>
> In this advanced model, the appropriate way to do a permutation test  
> depends on the question asked.  If you are asking just about the  
> within-subject factor (time), randomise *could* deal with this, just  
> use the model as you have specified it *but* be sure to specify an  
> exchangeability block  file marking the subjects (e.g., transposed  
> it would like like
> 1 1 1 1 2 2 2 2 3 3 3 3 ...
> ).  Randomise will then know to only permute scans within subject  
> (appropriate for a null hypothesis of no time effect, *and*  
> implicitly assuming exchangeability within subject).
>
> But if you're asking about the between-subject factor, the  
> appropriate way to permute is to shuffle subjects' data as a whole  
> around.  Or, equivalently to, permute the design ensuring that only  
> permutations that move around sets of four rows together are used).   
> That currently isn't implemented in randomise.
>
> Hope this helped!
>
> -Tom
>
>
> On Wed, Mar 25, 2009 at 12:34 AM, Kern, Kyle <[log in to unmask]<mailto:[log in to unmask] 
> >> wrote:
> Hi fsl users,
>
> I have a tbss dataset with a control group, a patient group, and 4  
> timepoints for each subject. I am trying to create a GLM design that  
> essentially models a 2x4 ANOVA with 1 repeated measure (time). I was  
> hoping that anyone who has worked with a similar design could look  
> over my setup  and steer me in the right direction. This study has  
> 11 controls and 21 patients, but for simplicity, the following  
> design has 3 controls and 4 patients. I would appreciate any  
> corrections or better approaches to the design below:
>
> .mat file:
>
> cont1_T1   1 0 0 0 0 0  1 0 0 0 0 0 0
> cont1_T2   0 1 0 0 0 0  1 0 0 0 0 0 0
> cont1_T3   0 0 1 0 0 0  1 0 0 0 0 0 0
> cont1_T4   0 0 0 0 0 0  1 0 0 0 0 0 0
> cont2_T1   1 0 0 0 0 0  0 1 0 0 0 0 0
> cont2_T2   0 1 0 0 0 0  0 1 0 0 0 0 0
> cont2_T3   0 0 1 0 0 0  0 1 0 0 0 0 0
> cont2_T4   0 0 0 0 0 0  0 1 0 0 0 0 0
> cont3_T1   1 0 0 0 0 0  0 0 1 0 0 0 0
> cont3_T2   0 1 0 0 0 0  0 0 1 0 0 0 0
> cont3_T3   0 0 1 0 0 0  0 0 1 0 0 0 0
> cont3_T4   0 0 0 0 0 0  0 0 1 0 0 0 0
> pat1_T1     0 0 0 1 0 0  0 0 0 1 0 0 0
> pat1_T2     0 0 0 0 1 0  0 0 0 1 0 0 0
> pat1_T3     0 0 0 0 0 1  0 0 0 1 0 0 0
> pat1_T4     0 0 0 0 0 0  0 0 0 1 0 0 0
> pat2_T1     0 0 0 1 0 0  0 0 0 0 1 0 0
> pat2_T2     0 0 0 0 1 0  0 0 0 0 1 0 0
> pat2_T3     0 0 0 0 0 1  0 0 0 0 1 0 0
> pat2_T4     0 0 0 0 0 0  0 0 0 0 1 0 0
> pat3_T1     0 0 0 1 0 0  0 0 0 0 0 1 0
> pat3_T2     0 0 0 0 1 0  0 0 0 0 0 1 0
> pat3_T3     0 0 0 0 0 1  0 0 0 0 0 1 0
> pat3_T4     0 0 0 0 0 0  0 0 0 0 0 1 0
> pat4_T1     0 0 0 1 0 0  0 0 0 0 0 0 1
> pat4_T2     0 0 0 0 1 0  0 0 0 0 0 0 1
> pat4_T3     0 0 0 0 0 1  0 0 0 0 0 0 1
> pat4_T4     0 0 0 0 0 0  0 0 0 0 0 0 1
>
> EVs 1-3 model controls at each timepoint, 4-6 model patients at each  
> timepoint, and 7-13 model the individual subject means.
>
> contrasts:
>
> Controls-Patients:     1  1  1 -1 -1 -1  0  0  0  0  0  0  0     
> X          Ftest1: Main effect of Group
> Time1-Time4:            1  0  0  1   0  0  0  0  0  0  0  0   
> 0        X
> Time2-Time4:            0  1  0  0   1  0  0  0  0  0  0  0   
> 0        X      Ftest2: Main effect of Time
> Time3-Time4:            0  0  1  0   0  1  0  0  0  0  0  0   
> 0        X
> C(T1-T4)-P(T1-T4):    1  0  0 -1   0  0  0  0  0  0  0  0   
> 0           X
> C(T2-T4)-P(T2-T4):    0  1  0  0  -1  0  0  0  0  0  0  0   
> 0           X   Ftest3: Interaction Group x Time
> C(T3-T4)-P(T3-T4):    0  0  1  0   0 -1  0  0  0  0  0  0   
> 0           X
>
> And I can also include contrasts for T1-T3, T2-T3, T1-T2, C(T1-T3)- 
> P(T1-T3), C(T2-T3)-P(T2-T3), C(T1-T2)-P(T1-T2), but not include them  
> as ftests right? (since they are linear combinations of the others)
> I am not sure how the data should be grouped for the exchangability  
> blocks, so I have them all in one group in the .grp file, is that  
> correct?
>
> Does this setup look appropriate?
> attached are the graphical representations.
>
> thanks for the help,
>
> Kyle Kern
>
>
>
>
> ________________________________________
> From: FSL - FMRIB's Software Library [[log in to unmask]<mailto:[log in to unmask] 
> >] On Behalf Of MCLAREN, Donald [[log in to unmask]<mailto:[log in to unmask] 
> >]
> Sent: Wednesday, March 18, 2009 10:06 PM
> To: [log in to unmask]<mailto:[log in to unmask]>
> Subject: Re: [FSL] modeling slope over time
>
> Instead of estimating the within-subject slopes, I'd do a repeated  
> measures ANOVA. In the ANOVA, you will want subject, group, time,  
> and a group-by-time interaction term. The reason for doing it this  
> way is to avoid the assumption that the change is linear with time.
>
> On Wed, Mar 18, 2009 at 10:01 PM, Kyle Kern <[log in to unmask]<mailto:[log in to unmask] 
> ><mailto:[log in to unmask]<mailto:[log in to unmask]>>>  
> wrote:
> Hi,
> I am trying to set up a longitudinal tbss analysis over 4 time  
> points contrasting a patient
> group to a control group. I'm interested in change over time rather  
> than the effect of any
> specifc time point. I was planning to model the slope for each  
> subject and then put this
> into a group t-test. Would modelling the slope for each subject be  
> the same approach as a
> simple correlation where my design matrix might look like this?:
>
> -3
> -1
> 1
> 3
>
> Would this reflect the magnitude of the slope or does it only  
> reflect the linearity like a
> correlation coefficient? I would hypothesize that patients show a  
> steeper slope than
> controls though they may show more variability, so a least squares  
> regression slope
> might detect differences but a simple correlation coefficient might  
> not.
>
> Also, to perform a 2 level analysis with tbss is it preferable to  
> use randomise and feed
> the within subject t-stat into the group comparison or should I use  
> the feat gui and treat
> each within subject analysis as a timeseries and feed that into a  
> higher level mixed
> effects analysis?
>
> thanks for all the help,
>
> Kyle Kern
>
>
>
> --
> Best Regards, Donald McLaren
> =====================
> D.G. McLaren
> University of Wisconsin - Madison
> Neuroscience Training Program
> Office: (608) 265-9672
> Lab: (608) 256-1901 ext 12914
> =====================
> This e-mail contains CONFIDENTIAL INFORMATION which may contain  
> PROTECTED HEALTHCARE INFORMATION and may also be LEGALLY PRIVILEGED  
> and which is intended only for the use of the individual or entity  
> named above. If the reader of the e-mail is not the intended  
> recipient or the employee or agent responsible for delivering it to  
> the intended recipient, you are hereby notified that you are in  
> possession of confidential and privileged information. Any  
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>
> --
> ____________________________________________
> Thomas Nichols, PhD
> Director, Modelling & Genetics
> GlaxoSmithKline Clinical Imaging Centre
>
> Senior Research Fellow
> Oxford University FMRIB Centre
>
> IMPORTANT WARNING:  This email (and any attachments) is only  
> intended for the use of the person or entity to which it is  
> addressed, and may contain information that is privileged and  
> confidential.  You, the recipient, are obligated to maintain it in a  
> safe, secure and confidential manner.  Unauthorized redisclosure or  
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> state penalties. If you are not the intended recipient, please  
> immediately notify us by return email, and delete this message from  
> your computer.
>


---------------------------------------------------------------------------
Stephen M. Smith, Professor of Biomedical Engineering
Associate Director,  Oxford University FMRIB Centre

FMRIB, JR Hospital, Headington, Oxford  OX3 9DU, UK
+44 (0) 1865 222726  (fax 222717)
[log in to unmask]    http://www.fmrib.ox.ac.uk/~steve
---------------------------------------------------------------------------

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