Hi Jodie,

are you familiar with mixed effects models? If not I would recommend you 
include a biostatistician.
What I mean (and you can do this in the matlab code, no need to include 
it in the qdec file) is to use a piecewise linear model.

So for a subject with visits at 0, 0.4 and 0.9 years you would have this 
design matrix:

1  0     0
1  0.4  0
1  0.9  0.5

your model could be like this:
Y_ij = beta0 + b_i + beta1 x_ij + beta2 z_ij +e_ij

(i is subject index, j is time point: 1,2,3)

where you have a random effect b_i for a subject specific intercept, 
x_ij is years and z_ij is the third column in your matrix:
z_i1 = 0
z_i2 = 0
z_i3 = x_i3 - x_i2

for hypothesis testing contrast, see my email below.

Best, Martin

On 05/12/2014 01:14 PM, Jodie Davies-Thompson wrote:
> Hi Martin,
>
> Thanks for your reply. I'm not entirely sure what you mean (sorry - I'm new 
> to this!). Do you mean something like this?
>
> For examining an increase between timepoint 1 and 2, but the same between 
> timepoint 2 and 3?
>
> fsid   fsid-base   years   years-to-years
> Day1   base   0   0.4
> Day2   base   0.4   0.4
> Day3   base   0.8   0
>
> All the best,
> Jodie
>
>
>
> Message: 6
> Date: Fri, 09 May 2014 16:52:25 -0400
> From: Martin Reuter <mreu...@nmr.mgh.harvard.edu>
> Subject: Re: [Freesurfer] nonlinear models in longitudinal analysis
> To: freesurfer@nmr.mgh.harvard.edu
> Message-ID: <536d4009.7030...@nmr.mgh.harvard.edu>
> Content-Type: text/plain; charset=ISO-8859-1; format=flowed
>
> Hi Jodie,
>
> 'years' should contain the real time between time points (usually,
> unless you have test-retest where time is irrelevant, or different task
> that can be ordered as you like). For what you are trying to do you
> should use linear mixed effects models with a piecewise linear setup.
> This will allow you to estimate a slope before and after timepoint 2 and
> compare those slopes.
> Your design matrix would probably have the column of 1, years and a
> column with
> years-years(at tp2 of that subject)   if that value is positive
> 0         otherwise
>
> Testing if the coef of the 3rd column is > 0 is asking if the slope
> increases in the second interval. Not exactly what you want, but close
> and of course you can test if the slope in interval 1 is different from
> zero (second column) and if the slope in interval 2 is different from
> zero ( 0 1 1, ie the sum of the last two columns).
>
> Best, Martin
>
> On 05/08/2014 03:48 PM, Jodie Davies-Thompson wrote:
>> Dear Freesurfer experts,
>>
>> I am attempting to do a longitudinal analysis of cortical thickness with 3 
>> timepoints. So far, I have successfully completed the analysis for 
>> long_mris_slopes comparing timepoint 1 to timepoint 2, timepoint 2 to 
>> timepoint 3, and a linear increase for timepoint 1 to 2 to 3.
>>
>> However, I am primarily interested in finding regions which show a) an 
>> increase between timepoint 1 and 2, but no difference between 2 and 3, and 
>> b) no difference between timepoint 1 and 2, but an increase between 2 and 3.
>>
>> Would the correct way of 'modelling' these two in the qdec file be:
>>
>> a)
>> fsid fsid-base years
>> day1 base 0
>> day2 base 3
>> day3 base 3
>>
>> and b)
>> fsid fsid-base years
>> day1 base 0
>> day2 base 0
>> day3 base 3
>>
>> All the best,
>> Jodie
>>
>> -
>> ---
>> Jodie Davies-Thompson, Postdoctoral Fellow
>> Department of Ophthalmology & Visual Sciences
>> UBC/VGH Eye Care Centre
>> 2550 Willow Street
>> Vancouver, BC, V5Z 3N9
>> Canada
>> Tel: 604-875-4111 ext 69003
>>
> -
> ---
> Jodie Davies-Thompson, Postdoctoral Fellow
> Department of Ophthalmology & Visual Sciences
> UBC/VGH Eye Care Centre
> 2550 Willow Street
> Vancouver, BC, V5Z 3N9
> Canada
> Tel: 604-875-4111 ext 69003
>
>
>
> _______________________________________________
> Freesurfer mailing list
> Freesurfer@nmr.mgh.harvard.edu
> https://mail.nmr.mgh.harvard.edu/mailman/listinfo/freesurfer
>
>

-- 
Martin Reuter, Ph.D.

Instructor in Neurology
   Harvard Medical School
Assistant in Neuroscience
   Dept. of Radiology, Massachusetts General Hospital
   Dept. of Neurology, Massachusetts General Hospital
Research Affiliate
   Computer Science and Artificial Intelligence Lab,
   Dept. of Electrical Engineering and Computer Science,
   Massachusetts Institute of Technology

A.A.Martinos Center for Biomedical Imaging
149 Thirteenth Street, Suite 2301
Charlestown, MA 02129

Phone: +1-617-724-5652
Email:
    mreu...@nmr.mgh.harvard.edu
    reu...@mit.edu
Web  : http://reuter.mit.edu

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