In SAS it is possible to extract “latent variable score regression coefficients”. In SAS these coefficients are used to calculate a factor score. Is it also possible in MPLUS to extract “latent variable score regression coefficients”?
I am trying to compare the way SAS and MPLUS calculate factor scores. Both use the regression method and the parameter estimates and fscoefficients are the same for both programs. In both programs the fscoefficients are multiplied with standardized observations. To mean it seems that in SAS observations are standardized as ((obs-means)/sd)), whereas in MPLUS they are standardized as(obs-means). Do you know what the advantages are of the different standardization methods?
Your understanding of Mplus is correct. In principle it doesn't matter what standardization is used as long as it implies the correct factor score (posterior mean). However from your information above it seems that you would get different results in the two programs. You should make sure that the factors scores you get agree with those computed by Mplus using the savedata command. savedata: save=fs; file=...;
Thanks for your explanation. Bij default sas uses a prior distribution to calculate a factor score. If I understand you well Mplus uses a posterior distribution to calculate factor scores.
With the "prior distribution approach" I used the following strategy. 1) I calculated a factor score for controls. 2) I calculate a factor score for cases using the factor score coefficients for controls multiplied by observations which were standardized according to the distribution in controls (so I used mean + sd values of controls to standardize the distribution)
Is such an approach also possible when using a posterior distribution? If yes, how can I extract the posterior mean + sd from MPLUS?
Here are a couple of clarifying points. Mplus also uses a prior distribution - a normal distribution. The standard regression method of computing factor scores gets the estimates from the peak of the posterior. So in this regard, there seems to be no differences between SAS and Mplus.
I don't understand your 1) and 2) steps. You mention "controls" - is that a certain group and you also have other groups? If you have several groups, it seems like there is a better approach that can be used.