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Is it allowed to incorporate static covariates in Mixed effects models with time series data?

I was recently told that it is not allowed to include static covariates 
in mixed effect models. There should be something written in "Applied 
Longitudinal Analysis, Fitzmaurice, Laird and Ware, Wiley & Sons, 2004. 
Chapter 12", however I do not have the book and cannot look it up.

When I have time series data, and season is a grouping factor, then the 
the response mean values should be tested, against the static covariates 
in the different seasons or not?

If it is not allowed, how could the effect of the static covariates then 
be tested for within a Longitudinal framework? only with a repeated 
measures anova?


Jens