help > RE: Design matrix and contrast for 2x2 design
Nov 1, 2024  10:11 AM | Max Kathofer
RE: Design matrix and contrast for 2x2 design

Dear Andrew,


 


Thanks for the quick response!



  1. Thanks for catching the missing 1 in the permutation vector (was a copy error on my part)
  2. If drug contrast tests [0 1 0 0 ..] or [0 -1 0 0 ..]. the interpretation is: which network cluster is increased during drug over placebo and the other one would be which network is more active during placebo over drug right? But they do not need to yield symmetrical effects right? So if I find a cluster for contrast 1, I do not need to find a cluster for -1, right?
  3. The interaction between drug and high low would be coded like this I guess: 

Sub1PH   0 1 0 1 0 0 ... 
Sub1PL    0 0 0 1 0 0 ...
Sub1DH   1 1 1 1 0 0 ...
Sub1DL    1 0 0 1  0 0 ... 


(First column main effect drug, second main effect highvlow, third column interaction drugxHigh) 


The interpretation of this effect would be: is there a network that is more activated during drug and high conditions compared to everything else, right? [contrast: [0, 0, 1, 0 , 0 ..]


 


Last question, does the interaction reduce the power to detect main effects? E.g. normally using behavioral data I  would test which regressors to include and then use the model that performs best (BIC or AIC). I usually do this since interaction terms use a lot of df and thus - if not beneficial for the glm - can result in decreased power to detect other effects right? Is there a potential with NBS in this regard as well? Can I test e.g. wether including this effect is necessary?  


 


Thanks so much! 


Cheers, 


Max 


 

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TitleAuthorDate
David de Wide Aug 3, 2017
Max Kathofer Oct 31, 2024
Andrew Zalesky Nov 1, 2024
RE: Design matrix and contrast for 2x2 design
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