help > RE: contrast ANOVA
Nov 19, 2014  02:11 AM | Andrew Zalesky
RE: contrast ANOVA
Hi Andreas,

What you have described is normal and possible.

When you increased to F=5, it is possible that the extent of your observed effect became smaller or remained the same. However, increasing your threshold also means that it is less likely for larger subnetworks to emerge in the randomized data.

So, it is perfectly fine to observe a significant effect for F=5, but not for F=4.

Andrew

Originally posted by Andreas Hahn:
Dear Andrew,

Thanks for the help!
Another question regarding thresholds: I tried several thresholds for the F-test, but interestingly F=5 gave a significant cluster but F=4 did not. How can this be? I thought a lower initial threshold would just make the cluster larger?

Best,
Andreas

Originally posted by Andrew Zalesky:
Dear Andreas,

NBS differs from SPM in this respect. However, both design matrix formats will give exactly the same result. Note that for a one-way ANOVA with four groups, you could also use a design matrix in the NBS of the following form:
1 1   0   0
1 1   0   0
1 -1  1   0
1 -1  1   0
1 0   -1  1
1 0   -1  1
1 0   0   -1
1 0   0   -1

The contrast is then: [ 0 1 1 1].

Looking at the above design matrix, it can be seen that columns 2, 3 and 4 correspond to the rows of your SPM contrast matrix.

I hope this provides you with some intuition above the equivalence between them.

The initial threshold refers to the F-statistic (if you select an F-test). So if you use an F-test, you would typically select a larger threshold than if you were using a t-test.



Originally posted by Andreas Hahn:
Dear Andrew,

Thank you very much for providing the NBS toolbox!
I have a question regarding the contrast setting for a one-way ANOVA with four independent groups of subjects with the following design matrix:
1 0 0 0
1 0 0 0
0 1 0 0
0 1 0 0
0 0 1 0
0 0 1 0
0 0 0 1
0 0 0 1
(with more than two subjects in each group).
Can you please explain why the F-contrast according to the example in the help is [1 1 1 1] to test if any of the means is significantly different? Being used to SPM contrasts it appears to test if the sum of all 4 groups is different from zero and the following would be more intuitive for me to test the differences across groups [1 -1 0 0; 0 1 -1 0; 0 0 1 -1].

Another quick question: does the initial "threshold" refer to the F-value (or t-value respectively) for the initial mass univariate testing?

Thank you and best regards,
Andreas

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TitleAuthorDate
Andreas Hahn Nov 14, 2014
Andrew Zalesky Nov 16, 2014
Charanya Muralidharan Nov 9, 2017
Andrew Zalesky Nov 10, 2017
Charanya Muralidharan Nov 13, 2017
Yuan-Fang Zhao Oct 14, 2016
Andrew Zalesky Oct 15, 2016
Andreas Hahn Nov 18, 2014
RE: contrast ANOVA
Andrew Zalesky Nov 19, 2014