Mplus Users Guide v6.. - Muthén & Muthén

Examples: Mixture Modeling With Cross-Sectional Data• Latent variable interactions and non-linear factor analysis usingmaximum likelihood• Random slopes• Linear and non-linear parameter constraints• Indirect effects including specific paths• Maximum likelihood estimation for all outcome types• Bootstrap standard errors and confidence intervals• Wald chi-square test of parameter equalities• Test of equality of means across latent classes using posteriorprobability-based multiple imputationsFor TYPE=MIXTURE, multiple group analysis is specified by using theKNOWNCLASS option of the VARIABLE command. The default is toestimate the model under missing data theory using all available data.The LISTWISE option of the DATA command can be used to delete allobservations from the analysis that have missing values on one or moreof the analysis variables. Corrections to the standard errors and chisquaretest of model fit that take into account stratification, nonindependenceof observations, and unequal probability of selection areobtained by using the TYPE=COMPLEX option of the ANALYSIScommand in conjunction with the STRATIFICATION, CLUSTER, andWEIGHT options of the VARIABLE command. TheSUBPOPULATION option is used to select observations for an analysiswhen a subpopulation (domain) is analyzed. Latent variable interactionsare specified by using the | symbol of the MODEL command inconjunction with the XWITH option of the MODEL command. Randomslopes are specified by using the | symbol of the MODEL command inconjunction with the ON option of the MODEL command. Linear andnon-linear parameter constraints are specified by using the MODELCONSTRAINT command. Indirect effects are specified by using theMODEL INDIRECT command. Maximum likelihood estimation isspecified by using the ESTIMATOR option of the ANALYSIScommand. Bootstrap standard errors are obtained by using theBOOTSTRAP option of the ANALYSIS command. Bootstrapconfidence intervals are obtained by using the BOOTSTRAP option ofthe ANALYSIS command in conjunction with the CINTERVAL optionof the OUTPUT command. The MODEL TEST command is used to testlinear restrictions on the parameters in the MODEL and MODELCONSTRAINT commands using the Wald chi-square test. TheAUXILIARY option is used to test the equality of means across latentclasses using posterior probability-based multiple imputations.143