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st: Difference between factor score and linear prediction of latent variables after sem


From   Guillermo Montes <gmontes@childrensinstitute.net>
To   "statalist@hsphsun2.harvard.edu" <statalist@hsphsun2.harvard.edu>
Subject   st: Difference between factor score and linear prediction of latent variables after sem
Date   Mon, 14 Oct 2013 18:05:41 +0000

I estimated a sem model that regresses many observable predictors on two latent variables (SOC1 SOC2), each measured by 4 observable indicators.  Then, I used the post estimation commands to calculate both the factor scores and the linear predictions of the latent variables using the commands below. 

Predict Lat*, xblatent(SOC1 SOC2)
Predict Fac*, latent(SOC1 SOC2)

http://www.stata.com/manuals13/sempredictaftersem.pdf  The manual says factor scores are predicted values of latent variables.

 What is the difference between a factor score and a linear prediction of a latent variable? The numbers are only correlated .7 or so in my case.

Thanks

Guillermo Montes Ph.D.

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