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p-correction for effects in LMM

I must admit that I do not understand what is that you are asking. Those 
CIs are for the parameters of your model (a 3x4 model + random effects: 
subject + residuals).
The referent group here are cond2 and rep1.
Maybe the problem that you have is that you would like to have an F 
statistic for the main effects and for the interaction. I do not know.

Marko
On 04. 12. 2021. 11:26, Bojana Dinic wrote: