is there a way to analyze measurement invariance and the mean structure with trend data?
I have multiple datasets of the same cohort at different timepoints and want to compare CFA models. Each dataset at each timepoint consists of about 3000 cases which are nearly the same persons but not linked together as in panel studies. So for each case there is only one valid measurement (at one timepoint) but on the aggregate level I have repeated measurement of the same variables.
I suspect that it is not possible to do multigroup CFA because the data is pooled and the assumption of independence is violated. What can I do?
The same people should be repeatedly measured for this method. You say you have nearly the same pupils in which case the ones who were not measured at each time point could be represented by missing data. If you do not have the same students, you can do a multiple group analysis.