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Hi Courtney,

I have two general remarks:

1.)
For comparing n groups, the general rule is to have (n-1) binary
indicator variables (and possibly n-1 interaction variables). One group
(a reference group) will be implictly modeled by the intercept (1) and
time (2) regressors. As a consequence, you should drop one group
regressor and one interaction regressor from your design matrix
(assuming that you have exactly 3 groups).
As an analogy to your analysis, consider the example given on the
Freesurfer LME tutorial page where there are 4 groups (HC, sMCI, cMCI,
AD), but only 3 group indicators (sMCI, cMCI, AD) and 3 interaction
terms. HC is chosen as the reference group in this example and not
explicitly modeled.

2.)
Any single (possibly multi-row) contrast matrix is expected to give
only one single result, i.e. one F- and p-value. For example, a
classical F-contrast that tests whether or not there is a difference
between *any* pair of (more than 2) groups would be specified as a
multi-row contrast matrix. To test for a difference between a specific
pairs of groups, use a single-row contrast matrix (more precisely,
vector).

Best regards,

Kersten


On Mi, 2018-07-25 at 16:19 +0200, Courtney Haswell wrote:
>         External Email - Use Caution
> 
> We are working in Matlab to analyze longitudinal data using the mass-
> univariate approach to Linear Mixed Effects (LME) Modeling.
> 
> 
> Step 1: Below is the design matrix (first few rows) we created in an
> effort to compare subjects with low, moderate, and high drinking
> behavior with respect to time (3 groups).
> 
> 
> 1 0 1 0 0 0 0 0
> 1 3.0 1 3.0 0 0 0 0
> 1 0 1 0 0 0 0 0
> 1 1.2 0 0 1 1.2 0 0
> 1 2.3 0 0 0 0 1 2.3
> 1 3.5 0 0 0 0 1 3.5
> 1 0 1 0 0 0 0 0
> 
> Column 1 - intercept ones; 2 - time (years since baseline scan); 3 -
> low drinking group; 4 - low drinking x time; 5 - mod drinking group;
> 6 - mod drinking x time; 7 - high drinking group; 8 - high drinking x
> time
> 
> 
> Step 2: To compare low/moderate drinking, mod/high drinking, and
> low/high drinking, we created the contrast matrix below:
> 
> 
> CM=[0 0 0 1 0 -1 0 0; 0 0 0 0 0 1 0 -1; 0 0 0 1 0 0 0 -1]
> 
> 
> Row 1 - low/mod drinking; Row 2 - mod/high drinking; Row 3 - low/high
> drinking
> 
> 
> Please let us know if the contrast matrix is appropriate for our
> design matrix and the comparisons we would like to make. This seems
> incorrect since there is only one output from
> "lme_mass_F(lhstats,CM);"
> 
> 
> Thank you for your help.

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