Mplus Users Guide v6.. - Muthén & Muthén

CHAPTER 10• Complex survey data• Latent variable interactions and non-linear factor analysis usingmaximum likelihood• Random slopes• Individually-varying times of observations• Linear and non-linear parameter constraints• Maximum likelihood estimation for all outcome types• Wald chi-square test of parameter equalities• Analysis with between-level categorical latent variables• 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,WEIGHT, WTSCALE, BWEIGHT, and BWTSCALE options of theVARIABLE command. Latent variable interactions are specified byusing the | symbol of the MODEL command in conjunction with theXWITH option of the MODEL command. Random slopes are specifiedby using the | symbol of the MODEL command in conjunction with theON option of the MODEL command. Individually-varying times ofobservations are specified by using the | symbol of the MODELcommand in conjunction with the AT option of the MODEL commandand the TSCORES option of the VARIABLE command. Linear andnon-linear parameter constraints are specified by using the MODELCONSTRAINT command. Maximum likelihood estimation is specifiedby using the ESTIMATOR option of the ANALYSIS command. TheMODEL TEST command is used to test linear restrictions on theparameters in the MODEL and MODEL CONSTRAINT commandsusing the Wald chi-square test. Between-level categorical latentvariables are specified using the CLASSES and BETWEEN options ofthe VARIABLE command. The AUXILIARY option is used to test theequality of means across latent classes using posterior probability-basedmultiple imputations.290