Mplus Users Guide v6.. - Muthén & Muthén

Examples: Confirmatory Factor Analysis AndStructural Equation ModelingANALYSIS command can be used to select a different estimator. Withmaximum likelihood estimation, logistic regressions are estimated forthe categorical dependent variables using a numerical integrationalgorithm. Note that numerical integration becomes increasingly morecomputationally demanding as the number of factors and the sample sizeincrease. An explanation of the other commands can be found inExample 5.1.EXAMPLE 5.4: CFA WITH CENSORED AND COUNT FACTORINDICATORSTITLE: this is an example of a CFA with censoredand count factor indicatorsDATA: FILE IS ex5.4.dat;VARIABLE: NAMES ARE y1-y3 u4-u6;CENSORED ARE y1-y3 (a);COUNT ARE u4-u6;MODEL: f1 BY y1-y3;f2 BY u4-u6;OUTPUT: TECH1 TECH8;The difference between this example and Example 5.1 is that the factorindicators are a combination of censored and count variables instead ofall continuous variables. The CENSORED option is used to specifywhich dependent variables are treated as censored variables in the modeland its estimation, whether they are censored from above or below, andwhether a censored or censored-inflated model will be estimated. In theexample above, y1, y2, and y3 are censored variables. The a inparentheses following y1-y3 indicates that y1, y2, and y3 are censoredfrom above, that is, have ceiling effects, and that the model is a censoredregression model. The censoring limit is determined from the data. TheCOUNT option is used to specify which dependent variables are treatedas count variables in the model and its estimation and whether a Poissonor zero-inflated Poisson model will be estimated. In the example above,u4, u5, and u6 are count variables. Poisson regressions are estimated forthe count dependent variables and censored regressions are estimated forthe censored dependent variables.The default estimator for this type of analysis is maximum likelihoodwith robust standard errors using a numerical integration algorithm.Note that numerical integration becomes increasingly more59