Mplus Users Guide v6.. - Muthén & Muthén

Examples: Mixture Modeling With Cross-Sectional Datay1y4y2f1f2y5y3y6cIn this example, the structural equation mixture model shown in thepicture above is estimated. A continuous latent variable f2 is regressedon a second continuous latent variable f1. The solid arrows from thecategorical latent variable c to f1 and f2 indicate that the mean of f1 andthe intercept of f2 vary across classes. The broken arrow from c to thearrow from f1 to f2 indicates that the slope in the linear regression of f2on f1 varies across classes. For related models, see Jedidi, Jagpal, andDeSarbo (1997).In the overall model, the first BY statement specifies that f1 is measuredby y1 through y3. The second BY statement specifies that f2 ismeasured by y4 through y6. The ON statement describes the linearregression of f2 on f1. In the model for class 1, the mean of f1, theintercept of f2, and the slope in the regression of f2 on f1 are specified tobe free across classes. All other parameters are held equal across classesas the default. The default estimator for this type of analysis ismaximum likelihood with robust standard errors. The ESTIMATORoption of the ANALYSIS command can be used to select a differentestimator. An explanation of the other commands can be found inExample 7.1.175