I am using the R packages lme4, merTools and Amelia to run a multi-level model with multiply imputed data. The merTools function "print.summary.merModList" gives the model results, including for the fixed effects part of the model (it gives the estimates, standard errors and t values for the fixed effects). However, I need to report p values for the fixed effects. I understand the problem with p values for multi-level models and will focus on confidence intervals in my interpretation, but I need to report the p values out of convention.
I see that there are several options to display p values in the lme4 package (derived using Satterthwaite approximations). However, I cannot seem to find a a way to do this with multiply imputed data when the model results are in the form of a merModList object (from merTools). It would also be helpful if the confidence intervals displayed automatically, rather than having to calculate them. Does anyone know if either of these things is possible?