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An important difference between REMs and FEMs is that the REM can be used to make inferences regarding a hypothetical population of clusters, while the FEM can be used to make inferences on the clusters in the sample in exactly the given time period (Rabe-Hesketh and Skrondal 2008) (see Supplementary Appendix p. 8 and 9 for further particulars on the statistical models).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com