Mplus Users Guide v6.. - Muthén & Muthén

CHAPTER 9using the ON option. In the first | statement, the random slope s2 isdefined by the linear regression of the dependent variable y2 on themediating variable y1. In the second | statement, the random slope s1 isdefined by the linear regression of the mediating variable y1 on theindividual-level covariate x2. The within-level residual variances of y1and y2 are estimated as the default. The first ON statement describes thelinear regression of the dependent variable y2 on the individual-levelcovariate x2. The second ON statement describes the linear regressionof the mediating variable y1 on the individual-level covariate x1.In the between part of the model, the ON statement describes the linearregressions of the random intercepts y1 and y2 and the random slopes s1and s2 on the cluster-level covariate w. The intercepts and residualvariances of y1, y2, s2, and s1 are estimated as the default. The residualcovariances between y1, y2, s2, and s1 are fixed at zero as the default.This default can be overridden. The default estimator for this type ofanalysis is maximum likelihood with robust standard errors. TheESTIMATOR option of the ANALYSIS command can be used to selecta different estimator. An explanation of the other commands can befound in Examples 9.1 and 9.3.EXAMPLE 9.6: TWO-LEVEL CFA WITH CONTINUOUSFACTOR INDICATORS AND COVARIATESTITLE: this is an example of a two-level CFA withcontinuous factor indicators andcovariatesDATA: FILE IS ex9.6.dat;VARIABLE: NAMES ARE y1-y4 x1 x2 w clus;WITHIN = x1 x2;BETWEEN = w;CLUSTER = clus;ANALYSIS: TYPE = TWOLEVEL;MODEL:%WITHIN%fw BY y1-y4;fw ON x1 x2;%BETWEEN%fb BY y1-y4;y1-y4@0;fb ON w;252