Dear Andrew, dear all
I know there is a lot of questions about ANOVA but I would appreciate checking the issue of 2*2 ANOVA with full repeated measures vs. within*between with you if you don't mind.
1) Between * Within ANOVA : I have a design in which subjects
from two different groups (A & B, factor between) have two repeated
measurements at day 1(d1) and day 2(d2, factor within) . There are
30 subjects per group but for the sake of simplicity I will
restrict here the example to 3
Given that there are 2 separate groups, I built the matrix design
this way:
A d1 1 1 1 0 0 0 0 0
A d1 1 1 0 1 0 0 0 0
A d1 1 1 0 0 1 0 0 0
A d2 -1 -1 1 0 0 0 0 0
A d2 -1 -1 0 1 0 0 0 0
A d2 -1 -1 0 0 1 0 0 0
B d1 -1 1 0 0 0 1 0 0
B d1 -1 1 0 0 0 0 1 0
B d1 -1 1 0 0 0 0 0 1
B d2 1 -1 0 0 0 1 0 0
B d2 1 -1 0 0 0 0 1 0
B d2 1 -1 0 0 0 0 0 1
(col1: interaction groups*day, col2: day, col3-6: Within-subjects
mean group A, col7-9 Within-subjects mean group B)
And the exchange blocks based on within-subject factor day would be
[1:3 1:3 4:6 4:6]
I can then test the interaction effect either using T or F-test with [1 0 0 0 0 0 0 0], and the main day effect with [0 1 0 0 0 0 0 0] (or -1)
Is it correct ? And in particular, am I right to have within-subjects mean group A in different columns than Within-subjects mean group B ?
2) Within * Within ANOVA :Now, let's imagine I have a similar design but with subjects who have 2 repeated measures A & B at day1 then 2 repeated measures A & B at day 2 , hence 4 measurements per subject.
Question is ; is it sufficient to modify the exchange block to reflect that one subject has four measurements, i.e. [1:3 1:3 1:3 1:3] ?
Or should I also adjust the design matrix and put in same
columns Within-subjects mean cond A and Within-subjects mean
condition B ? , like here below :
A d1 1 1 1 0 0 0
A d1 1 1 0 1 0 0
A d1 1 1 0 0 1 0
A d2 -1 -1 1 0 0
A d2 -1 -1 0 1 0
A d2 -1 -1 0 0 1
B d1 -1 1 1 0 0
B d1 -1 1 0 1 0
B d1 -1 1 0 0 1
B d2 1 -1 1 0 0
B d2 1 -1 0 1 0
B d2 1 -1 0 0 1
with exchange block [1:3 1:3 1:3 1:3] again ?
Thanks in advance for your support in using this nice NBS tool !
Philippe
Threaded View
| Title | Author | Date |
|---|---|---|
| Philippe Peigneux | Jan 9, 2026 | |
| Andrew Zalesky | Jan 9, 2026 | |
| Philippe Peigneux | Jan 10, 2026 | |
| Andrew Zalesky | Jan 10, 2026 | |
| Philippe Peigneux | Jan 9, 2026 | |
