Print

Print


Hi,

This isn't all that unusual.  In the simplest case where the F-test
involves only a single contrast (numerator DF=1), the F-test will have
p-values twice as large as the t-test (assuming the t-test is 1-sided).
 Earlier, Tom Nichols posted this great reference that describes the
relationships between f-tests and t-tests well, when the numerator DF=2.
 The main issue relates to correlated contrasts, which I don't think is
your problem, but it sheds light on other issues as well.
http://www.amstat.org/publications/jse/v16n3/martin.html

Cheers,
Jeanette


On Mon, Aug 26, 2013 at 7:30 AM, Diederick Stoffers <[log in to unmask]>wrote:

> Hi,
>
> In a VBM analysis I am interested in the negative association between a
> clinical score and GM volume in four different roughly equal-size groups.
>
> I created a full factorial model in which I can test for negative
> associations between the clinical score and GM in the individual groups
> using four separate t-contrasts and run an omnibus F-test over the four
> individual contrasts. In one of the four groups a t-contrast shows a strong
> relation between volume and the clinical score in a large brain cluster
> (whole-brain, P<.001, FWE-corrected). In the omnibus F-test, a similar
> cluster can be seen at P<.001, but this cluster doesn't even come close to
> surviving FWE-correction (P=.4).
>
> I had a discussion with my PI about this, he says the effect from the
> t-contrast probably doesn't show because the variances are unequal between
> groups, which makes the F-test invalid. My feeling is that this is not an
> issue, as the contrasts I am adding to the F-test are not comparing groups.
> Can anyone comment on this and venture a guess as to why the cluster that
> shows as very significant in the t-test doesn't even come close to
> surviving FWE correction in the omnibus F-test?
>
> Many thanks,
>
> Diederick
>
>