Mplus Users Guide v6.. - Muthén & Muthén

CHAPTER 7In this example, the model with both a continuous and categorical latentvariable shown in the picture above is estimated. The categorical latentvariable c is regressed on the continuous latent variable f in amultinomial logistic regression.By specifying ALGORITHM=INTEGRATION, a maximum likelihoodestimator with robust standard errors using a numerical integrationalgorithm will be used. Note that numerical integration becomesincreasingly more computationally demanding as the number of factorsand the sample size increase. In this example, one dimension ofintegration is used with 15 integration points. The ESTIMATOR optioncan be used to select a different estimator. In the overall model, the BYstatement specifies that f is measured by the categorical factor indicatorsu1 through u4. The categorical latent variable c has four binary latentclass indicators u5 through u8. The ON statement specifies themultinomial logistic regression of the categorical latent variable c on thecontinuous latent variable f. An explanation of the other commands canbe found in Example 7.1.EXAMPLE 7.20: STRUCTURAL EQUATION MIXTUREMODELINGTITLE: this is an example of structural equationmixture modelingDATA: FILE IS ex7.20.dat;VARIABLE: NAMES ARE y1-y6;CLASSES = c (2);ANALYSIS: TYPE = MIXTURE;MODEL:%OVERALL%f1 BY y1-y3;f2 BY y4-y6;f2 ON f1;%c#1%[f1*1 f2];f2 ON f1;OUTPUT: TECH1 TECH8;174