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How to handle twin pairs that are not statisticly independent

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Dear Alfonso and CONN Community

In advance excuse me if my questions are a little bit blunt I m new to the field.

I am currently using weighted GLM correlation measures within task condition to map the ROI to ROI effects of task performance. The HCP dataset that I am using consists around 200 MZ and 200 DZ twins out of 1200 subjects and I am wondering how to control for this statistically independent subjects since they are sharing exactly the same genes.

As an approach to this problem I was wondering whether if it would be appropriate to assign a number for each twin pair and use it as a covariate:
TwinPair1 sub1       1
TwinPair1 sub2       1
TwinPair2 sub1       2
TwinPair2 sub2       2
...

whereas second level modeling would be like: 

All Subjects - Age - Gender - Education - Handedness - [b]TwinPairs[/b] - Relational Task [0 0 0 0 0 [b]0[/b] 1]

Regards
Erkam

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