An article by Laura Stapleton came out in the most recent issue of the SEM journal which shows how to use SAS in conjunction with Mplus and replicate weights. We will eventually be adding this to Mplus. In the meantime, you can see that article.
I'm using the ECLS-K data and am confused after reading the above paper and the others by Tihomir on analyzing multilevel complex samples in Mplus -- about which weights to use for these data. The file for the longitudinal data comes with both PSU and Strata weights, and full sample weights and Jackknife2 replicate weights for the kids.
Since I want to take the unequal selection probabilities of the schools into account for my longitudinal analysis, I'm thinking that I should set up a growth model multivariate style, but as a multilevel model to take PSUs and strata into account.
So, do I use the Taylor linearization weights for the clusters and strata for the multilevel part, as well as the full sample and JK2 replicate weights for the kids?