Mplus Users Guide v6.. - Muthén & Muthén

Examples: Mixture Modeling With Cross-Sectional DataEXAMPLE 7.15: LOGLINEAR MODEL FOR A THREE-WAYTABLE WITH CONDITIONAL INDEPENDENCE BETWEENTHE FIRST TWO VARIABLESTITLE: this is an example of a loglinear modelfor a three-way table with conditionalindependence between the first twovariablesDATA: FILE IS ex7.15.dat;VARIABLE: NAMES ARE u1 u2 u3 w;FREQWEIGHT = w;CATEGORICAL = u1-u3;CLASSES = c1 (2) c2 (2) c3 (2);ANALYSIS: TYPE = MIXTURE;STARTS = 0;PARAMETERIZATION = LOGLINEAR;MODEL:%OVERALL%c1 WITH c3;c2 WITH c3;MODEL c1:%c1#1%[u1$1@15];%c1#2%[u1$1@-15];MODEL c2:%c2#1%[u2$1@15];%c2#2%[u2$1@-15];MODEL c3:%c3#1%[u3$1@15];%c3#2%[u3$1@-15];OUTPUT: TECH1 TECH8;In this example, a loglinear model for a three-way frequency table withconditional independence between the first two variables is estimated.The loglinear model is estimated using categorical latent variables thatare perfectly measured by observed categorical variables. It is alsopossible to estimate loglinear models for categorical latent variables thatare measured with error by observed categorical variables. Theconditional independence is specified by the two-way interaction167