Is it meaningful to compare the coefficients of two different predictors in multilevel model when the two are at different levels?
Specifically I have two variables which measure the same construct at two different levels (individual and group). I am using R package
nlme to fit a multilevel model and want to test the hypothesis that the individual level predictor is significantly better than the group level predictor.
Does it make sense to fit the model and then examine whether the confidence intervals of the individual predictor do not overlap with the coefficient of the group level predictor?
Is the fact that they have different degrees of freedom a problem?
Is there a better way to test this hypothesis?