Mplus Users Guide v6.. - Muthén & Muthén

Examples: Mixture Modeling With Cross-Sectional Datadescribes the multinomial logistic regression of the categorical latentvariable c on the covariate x when comparing class 1 to class 2. Theintercepts of this regression are estimated as the default. The second ONstatement describes the logistic regression of the binary indicator u4 onthe covariate x. This is referred to as a direct effect from x to u4. Theregression coefficient is held equal across classes as the default. Thedefault estimator for this type of analysis is maximum likelihood withrobust standard errors. The ESTIMATOR option of the ANALYSIScommand can be used to select a different estimator. An explanation ofthe other commands can be found in Examples 7.1 and 7.3.EXAMPLE 7.13: CONFIRMATORY LCA WITH BINARYLATENT CLASS INDICATORS AND PARAMETERCONSTRAINTSTITLE: this is an example of a confirmatory LCAwith binary latent class indicators andparameter constraintsDATA: FILE IS ex7.13.dat;VARIABLE: NAMES ARE u1-u4;CLASSES = c (2);CATEGORICAL = u1-u4;ANALYSIS: TYPE = MIXTURE;MODEL:%OVERALL%%c#1%[u1$1*-1];[u2$1-u3$1*-1] (1);[u4$1*-1] (p1);%c#2%[u1$1@-15];[u2$1-u3$1*1] (2);[u4$1*1] (p2);MODEL CONSTRAINT:p2 = - p1;OUTPUT: TECH1 TECH8;In this example, constraints are placed on the measurement parametersof the latent class indicators to reflect three hypotheses: (1) u2 and u3are parallel measurements, (2) u1 has a probability of one in class 2, and(3) the error rate for u4 is the same in the two classes (McCutcheon,2002, pp. 70-72).163