help > RE: 2 x 3 ANOVA set up
Oct 17, 2025  02:10 PM | Alfonso Nieto-Castanon - Boston University
RE: 2 x 3 ANOVA set up

Hi Jose,


The model is perfectly correct but the contrast is not exactly correct. That contrast is looking at any main or interaction effects combined, not just the interaction terms. To evaluate the diagnosis-by-group interaction you would use a contrast of the form:


[0 0 0 1 -1 0 -1 1 0;0 0 0 0 1 -1 0 -1 1]


(to clarify, you can get the combined contrast by using the kronecker product of the separate diagnosis and group contrasts: kron( [-1 1], [-1 1 0;0 -1 1] ) and then adding 0's at the beginning for the control terms; if, for example, you wanted to evaluate the main effect of diagnosis you would use kron( [-1 1], [1/3 1/3 1/3] ), and to evaluate the main effect of group you would use kron( [1/2 1/2], [-1 1 0; 0 -1 1] ))


Hope this helps


Alfonso


 


Originally posted by Jose Maximo:



Hi, I have a quesiton about my ANOVA design. I have the following 2nd-level covariates:


age: 19 25 21 21 24 23 29 35 21 25  


sex: 1 0 1 1 0 1 0 1 0 1


motion: 0.2 0.3 0.2 0.4 0.3 0.4 0.4 0.1 0.1 0.2


HC:       1 1 1 1 1 0 0 0 0 0


FEP:      0 0 0 0 0 1 1 1 1 1


group1: 0 0 0 0 0 0 0 0 1 1


group2: 1 0 1 1 0 1 0 0 0 0


group4: 0 1 0 0 1 0 1 1 0 0


I wanted to run a diagnosis (HC, FEP) by group (1, 2, 4) interaction so I selected these variables and using the covariate tools I created interaction terms :


HC*group1, HC*group2, HC*group4, FEP*group1, FEP*group2, and FEP*group4


Then, on the results tab I did the following contrast to run a 2x3 ancova while controlling for age, sex, and motion: 


 [ 0 0 0 -1 1 0 0 0 0; 0 0 0 0 -1 1 0 0 0; 0 0 0 0 0 -1 1 0 0; 0 0 0 0 0 0 -1 1 0; 0 0 0 0 0 0 0 -1 1 ]


The first 3 zeros are for controlling for age, sex, and motion, and the rest are the variables of interest. 


Is this correct? I did not get any warnings or errors so I assumed its correct, but just wanting to make sure this is correct. 


Thank you.



 

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TitleAuthorDate
Jose Maximo Oct 9, 2025
RE: 2 x 3 ANOVA set up
Alfonso Nieto-Castanon Oct 17, 2025