I'm conducting an impact evaluation for a school level program and interested in evaluating if there is a dose response relationship between levels of implementation and student outcomes. I have binary student level outcome data (time points 1 and 3) and continuous school level implementation data (time points 1, 2, and 3). The student data was collected from a random sample of classrooms in each school at both time points thus a repeated cross section design, however I do not have a classroom identifier. School level implementation data is collected from all schools with no missing data.

I'm wondering if it would be possible to fit a GEE model to assess the dose-response relationship with this data structure? I've been trying to find research on GEE with nested repeated cross sectional data only to find more and more research on longitudinal data. Any guidance would be much appreciated!