Mplus Users Guide v6.. - Muthén & Muthén

TITLE, DATA, VARIABLE, And DEFINE CommandsCENSOREDThe CENSORED option is used to specify which dependent variablesare treated as censored variables in the model and its estimation, whetherthey are censored from above or below, and whether a censored orcensored-inflated model will be estimated.The CENSORED option is specified as follows for a censored model:CENSORED ARE y1 (a) y2 (b) y3 (a) y4 (b);where y1, y2, y3, y4 are censored dependent variables in the analysis.The letter a in parentheses following the variable name indicates that thevariable is censored from above. The letter b in parentheses followingthe variable name indicates that the variable is censored from below.The lower and upper censoring limits are determined from the data.The CENSORED option is specified as follows for a censored-inflatedmodel:CENSORED ARE y1 (ai) y2 (bi) y3 (ai) y4 (bi);where y1, y2, y3, y4 are censored dependent variables in the analysis.The letters ai in parentheses following the variable name indicate thatthe variable is censored from above and that a censored-inflated modelwill be estimated. The letters bi in parentheses following the variablename indicate that the variable is censored from below and that acensored-inflated model will be estimated. The lower and uppercensoring limits are determined from the data.With a censored-inflated model, two variables are considered, acensored variable and an inflation variable. The censored variable takeson values for individuals who are able to assume values of the censoringpoint and beyond. The inflation variable is a binary latent variable inwhich the value one denotes that an individual is unable to assume anyvalue except the censoring point. The inflation variable is referred to byadding to the name of the censored variable the number sign (#)followed by the number 1. In the example above, the censored variablesavailable for use in the MODEL command are y1, y2, y3, and y4, andthe inflation variables available for use in the MODEL command arey1#1, y2#1, y3#1, and y4#1.487