Mplus Users Guide v6.. - Muthén & Muthén

Examples: Multilevel Modeling With Complex Survey DatayWithinxuyBetweenwuzThe difference between this example and Example 9.3 is that thebetween part of the model has an observed cluster-level mediatingvariable z and a latent mediating variable y that is a random intercept.The model is estimated using weighted least squares estimation insteadof maximum likelihood.By specifying ESTIMATOR=WLSM, a robust weighted least squaresestimator using a diagonal weight matrix is used (Asparouhov &Muthén, 2007). The ESTIMATOR option of the ANALYSIS commandcan be used to select a different estimator.In the between part of the model, the first ON statement describes thelinear regression of the random intercept u on the cluster-level covariatew, the random intercept y, and the observed cluster-level mediatingvariable z. The third ON statement describes the linear regression of theobserved cluster-level mediating variable z on the cluster-level covariatew. An explanation of the other commands can be found in Examples 9.1and 9.3.249