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FSL  March 2009

FSL March 2009

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Subject:

2x4 ANOVA, 1 repeated measure

From:

"Kern, Kyle" <[log in to unmask]>

Reply-To:

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

Date:

Tue, 24 Mar 2009 16:34:43 -0700

Content-Type:

multipart/mixed

Parts/Attachments:

Parts/Attachments

text/plain (111 lines) , 2x4_repeat_ANOVA_7subjects.png (111 lines) , 2x4_repeat_ANOVA_7subjects_cov.png (111 lines)

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]] On Behalf Of MCLAREN, Donald [[log in to unmask]]
Sent: Wednesday, March 18, 2009 10:06 PM
To: [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]>> 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 unauthorized use, disclosure, copying or the taking of any action in reliance on the contents of this information is strictly prohibited and may be unlawful. If you have received this e-mail unintentionally, please immediately notify the sender via telephone at (608) 265-9672 or email.

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