Hi Getaneh,

the estimates for D and phisq for a given analysis are contained within
the data structure that is returned by the lme_fit_FS procedure.

I.e. for the tutorial data, the command was:

total_hipp_vol_stats = lme_fit_FS(X,[1 2],Y(:,1)+Y(:,2),ni);

Dhat and phisqhat are fields of the 'total_hipp_vol_stats' structure,
and can be accessed by typing 'total_hipp_vol_stats.Dhat' and
'total_hipp_vol_stats.phisqhat', respectively.

Best regards,

Kersten


-----Original Message-----
From: "Tefera, Getaneh B" <getaneh.b.tef...@uth.tmc.edu>
Reply-to: Freesurfer support list <freesurfer@nmr.mgh.harvard.edu>
To: Freesurfer support list <freesurfer@nmr.mgh.harvard.edu>
Subject: Re: [Freesurfer] LME
Date: Tue, 9 Jan 2018 23:02:08 +0100

Hi Kersten.

Thank you very much .

I am not planning a new design for sample size calculation.

Can you please help me how to find those values?

Thank you

Getaneh 


________________________________________
From: freesurfer-boun...@nmr.mgh.harvard.edu <freesurfer-boun...@nmr.mg
h.harvard.edu> on behalf of Diers, Kersten /DZNE <kersten.di...@dzne.de
>
Sent: Tuesday, January 9, 2018 5:56 AM
To: freesurfer@nmr.mgh.harvard.edu
Subject: Re: [Freesurfer] LME

Hi Getaneh,

please find my responses below.

-----Original Message-----
From: "Tefera, Getaneh B" <getaneh.b.tef...@uth.tmc.edu>
Reply-to: Freesurfer support list <freesurfer@nmr.mgh.harvard.edu>
To: freesurfer@nmr.mgh.harvard.edu <freesurfer@nmr.mgh.harvard.edu>
Subject: [Freesurfer] LME
Date: Mon, 8 Jan 2018 22:54:49 +0100

Dear Freesurfer experts,


I have three groups g0, g1, and g2.

I am trying to use  LME model  with random effects y-int and time from
the base line.

Based on the LME tutorial  and the questions and answers from
Freesurfer support list:

Y=B1+B2*t+B3*g1+B4*g1*t+B5*g2+B6*g2*t+ …

The slope of g0 : 0 1 0 0 0 0
The slope of g1: 0 1 0 1 0  0
The slope of g2: 0 1 0 0 0 1

The slope difference between  g0 and g1: 0 0 0 1 0 0
The slope difference between  g0 and g2: 0 0 0 0 0 1
The slope difference between  g1 and g2: 0 0 0 -1 0 1


1)      Is this contrast matrix correct to observe pairwise slope
difference?

In the tutorial the contrast matrix   C = [zeros(3,3) [1 0 0 0 0; -1 0
1 0 0; 0 0 -1 0 1] zeros(3,6)]

This is a correct matrix, but only for the particular design given in
the tutorial, i.e. 4 groups and several covariates. Also, it is not
strictly speaking a pairwise test, but will indicate if there is *any*
difference between the slopes of the groups (i.e. it will give only one
F- and p-value).
If you specifically want to test differences between particular pairs,
use contrast matrices with just a single row.


2)      Is it necessary to combine contrast matrix of the pair
difference the same as the tutorial?

If so, my contrast matrix can be  C=[0 0 0 1 0 0; 0 0 0 -1 0 1]

It makes sense to look at the overall effect prior to looking at
pairwise differences. If you don't have any additional covariates, that
matrix is OK for looking the overall effect. Otherwise, add as many
columns of zeros as you have covariates, similar to the tutorial.

3)      How can we interpret the  result for this contrast matrix?

This is an F-test to detect if there is any difference between the
slopes of the groups.


4)      How can I obtain B1, B2, … ?

Consider the following command from the tutorial:

total_hipp_vol_stats = lme_fit_FS(X,[1 2],Y(:,1)+Y(:,2),ni);

Then B1 and B2 will be the first two entries of
total_hipp_vol_stats.Bhat


[sz1,sz2] = lme_plannedSampleSize(Zi,ZiCol,Dhat,phisqhat,effsz,...
                                                         dr,pw,alpha,gr
_pr)


5)      For sample size calculation how can I get Dhat ( Estimated
random effects covariance matrix) and phisqhat (Estimated intra-subject
variability)?

If you are planning a new design, these estimates should be based on
prior knowledge and can be derived e.g. from a pilot study or from the
literature.

Best regards,

Kersten



With regards

Getaneh




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