help > RE: ANOVA 2*2 with between and within factors vs. with only within factors , design & exchange blocks
Jan 10, 2026  07:01 PM | Philippe Peigneux
RE: ANOVA 2*2 with between and within factors vs. with only within factors , design & exchange blocks

Dear Andrew 


there is some ambiguity in your description but I will do my best to answer. 

 

Apologies if my description was ambiguous, and thanks for the effort 😊 


 

What you have described in (1) is all correct. But I assume that the subjects in group A are distinct individuals compared to the subjects in group B. If they are instead the same subjects, you may want to include a single column within-subject mean for each subject rather than modeling the within-subject mean separately for each group. 


Here it is indeed 2 distinct groups with different individuals, thus a 2*2 anova with one between- (group) and one within- (day) subject factors  


For option (2), I am a little confused about the set up. I wasn't sure if you mean that subjects can potentialluy crossover from one group to another at the second measuremnt. If this is not the case, and you rather  have more than two repeated measurments, you may want to consider inference on the slopes (rates of changes) acorss the time points. 

 

No, actually in my real study I have 3 factors in total but 2*2*2 anova are definitely impossible to implement and even more to interpret 😊 In option (2) each subject is recorded 4 times (A and B at day 1, A and B at day 2) and there is no group factor, thus it is full within-subject repeated measurement anova. Since it is the same subjects, based on your answer to option (1) I would include a single column within-subject mean for each subject.

 

By inference on the slopes (rates of changes) across the time points, do you mean e.g. subtracting (or computing % change) matrices A and B , and then use the resulting matrices to compare time points day 1 and day 2 ? 

 

Thanks a lot and best regards,



Philippe


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TitleAuthorDate
Philippe Peigneux Jan 9, 2026
Andrew Zalesky Jan 9, 2026
RE: ANOVA 2*2 with between and within factors vs. with only within factors , design & exchange blocks
Philippe Peigneux Jan 10, 2026
Andrew Zalesky Jan 10, 2026
Philippe Peigneux Jan 9, 2026