On 3/5/14 5:25 PM, Tudor Popescu wrote:
Hello, I have some questions on doing group comparisons with thickness, area and volume. Many thanks in advance for any help!
- For a DOSS design with group and gender as categorical factors, I
see that an interaction contrast ("Is there a group-gender interaction in the mean thickness?") still exists - but what does this contrast mean, given that DOSS by definition doesn't allow for interactions?
Are you using QDEC? If so, don't use the DOSS as the contrasts are incorrect. It is possible to have an interaction among the categorical factors with a DOSS.
- it makes sense that measures such as thickness are analysed
vertex-wise in QDEC, however what does it mean when the dependent variable is area or volume - measures that do not make physical sense for a single vertex but only at the level of a region consisting of *several* vertices?
The interpretation is a little more difficult. Each vertex is assigned an area equal to the average of the triangles adjacent to it. This is just a value that can be mapped to a common space like any other value (eg, thickness) (but there is a special jacobain correction to account for stretching or compression). Smoothing reduces the effect of having different sized triangles. One can think of it like this: in the common space (fsaverage) image having a patch of a certain size. When you mapped that patch back to each individual, how big would that patch be? You could then do group statistics on that number. In this way you could analyze the entire hemisphere. Now imagine doing this but making the patch smaller and smaller.
- For values extracted from atlas regions with aparcstats2table, it
seems that the product of the extracted CT and area is in the same order of magnitude as the extracted volume, but never really the same or even close -- why, when the volume of a region should theoretically be the product of its surface area by its thickness?
It is an issue of how it is computed. Sum(CT*Area) != Sum(CT)*Sum(Area). When computing volume, CT*Area is computed for each vertex then summed across vertices. doug
Tudor
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