Mplus Users Guide v6.. - Muthén & Muthén

CHAPTER 9residual variances of the outcome variables are fixed at zero on thebetween level in line with conventional multilevel growth modeling.These residual variances can be estimated. The ON statement describesthe linear regressions of the growth factors on the cluster-level covariatew. The residual variances and the residual covariance of the growthfactors are free to be estimated as the default.In the parameterization of the growth model shown here, the interceptsof the outcome variable at the four time points are fixed at zero as thedefault. The intercepts of the growth factors are estimated as the defaultin the between part of the model. 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 Example 9.1.EXAMPLE 9.13: TWO-LEVEL GROWTH MODEL FOR ACATEGORICAL OUTCOME (THREE-LEVEL ANALYSIS)TITLE: this is an example of a two-levelgrowth model for a categorical outcome(three-level analysis)DATA: FILE IS ex9.13.dat;VARIABLE: NAMES ARE u1-u4 x w clus;CATEGORICAL = u1-u4;WITHIN = x;BETWEEN = w;CLUSTER = clus;ANALYSIS: TYPE = TWOLEVEL;INTEGRATION = 7;MODEL:%WITHIN%iw sw | u1@0 u2@1 u3@2 u4@3;iw sw ON x;%BETWEEN%ib sb | u1@0 u2@1 u3@2 u4@3;ib sb ON w;OUTPUT: TECH1 TECH8;The difference between this example and Example 9.12 is that theoutcome variable is a binary or ordered categorical (ordinal) variableinstead of a continuous variable.272