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Dear FSL users,

I have a question about ANOVA analysis that I hope some of you can help me with.

I have data from a 3-factor design. Each factor has 2 levels. I have run the
first level analyses with 8 EVs, each defining one condition ("cell" in the
2x2x2 paradigm):

A1 B1 C1
A1 B1 C2
A1 B2 C1
A1 B2 C2
A2 B1 C1
A2 B1 C2
A2 B2 C1
A2 B2 C2

I have also run a higher-level standard GLM analysis to calculate simple
effects, and found an interesting difference between the two contrasts
(A1B1C1 > A1B2C1) and (A2B1C1 > A2B2C1). A referee suggested I test if this
difference is statistically significant. So, is the effect (B1C1>B2C1)
significantly different between A1 and A2? To do this, I guess I should run
a 3-factor ANOVA as described on the support site.

The problem (?) is: The third factor, C, is defined by the subjects´
responses (task accuracy). Two of my conditions, A2B1C2 and A2B2C2 were very
easy and therefore contain very few trials - in several subjects no trials
at all. These empty conditions are not of particular interest to me, since I
mainly want to compare B1C1>B2C1 across the two levels of A. But I will have
to include all conditions in my factor analysis.

So my question is: Is it still possible to run an ANOVA? If so, how do I
deal with the empty factor levels? I can’t see how ANOVA would produce any
meaningful results in this case, but maybe some of you can. Or perhaps you
know of an alternative way to test the interaction effect I described above?

Any suggestions are welcome!
Kind regards,
Hanne