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Good morning everyone. I am performing an omnibus two-way anova test. In the set of factors that I want to test I included biological replication and technical replication.

The function used for the test was:

anova(lm(var~fac1*tech_rep*biol_rep, data = data))

I had a significant effect of fac1, and biol_rep, but also a significant interaction fac1:biol_rep. I decided to run independent ANOVAs for the levels of the two factors. Is this approach correct?

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