Hi! I'm building a SEM with PISA data, which uses a two-step sampling procedure, where 30 students from each school are selected.
I wish to use the replicate weights in the dataset, combined with using the school ID as clusters, but I get different kind of error messages. When I use BRR, I get an error message which states that the Replicate Weights already contain information about clustering, and when I use Fay's modification (used by PISA), it automatically assumes two strata, and I'm not allowed to set School ID as clusters/strata.
It is possible to solve it. The error message is correct. When you use replicate weights the standard errors are entirely based on the replicate weights and no additional information is needed. The replicate weights are designed to yield correct result. They are very specific to the survey design and should only be used as instructed by the survey admin, i.e., if Fay is the method that they want you to use it would be incorrect to use another method because the replicate weights are constructed to work only with that method. So, indeed remove the instructions for cluster/strata from the input file and specify the replicate weights as Fay.