detecting a variance trend in random effects

#1
Greetings

I have a measurements on grouped individuals. There are approximately 100 groups, and approximately 500 individuals per group, with measurements taken over 5 years. There are no repeated measurements. The data are observational. The outcome is binary and there are 5 candidate covariates.

Interest is centered on the change in variation of the group level effects. In particular there is a hypothesis that there has been a meaningful decreasing trend in variation of the group effects over the 5 year period.

To investigate this, I'm considering these approaches
1. Slice up the data into years, and run a 2-level linear mixed effects model on each slice;
2. Add a covariate for year (eg 1=2000, 2=2001, 3=2002 etc) and run the model on the whole dataset;
3. Use a 3-level linear mixed effects model: individuals within years within groups.

I would be grateful for any comments on these and/or any alternative approaches.

Thanks
LR
 
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