Adding/Subtracting Two Latent Factors PreviousNext
Mplus Discussion > Confirmatory Factor Analysis >
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 Thomas Scotto posted on Friday, December 06, 2013 - 5:49 pm
Hello,

VIA CFA with ordinal indicators and the WLSMV estimator, I've obtained two latent variables of concepts that are of interest to me, say X and Y. Fit of the model is excellent, and I'd like to move on to full SEM where I test the following--A large gap between the respondent's location on factor X and their location on Factor Y drives evaluations of Z. I have read up on the warnings associated with using saved factor scores in a separate analysis, so is there a way to combine factors in an additive or subtractive manner?

Thanks,

Tom
 Bengt O. Muthen posted on Friday, December 06, 2013 - 6:15 pm
Would it work to consider

Z = a + b *(X-Y ) + e

and say

Model:

Z ON X (posb)
Y (negb);

Model Constraint:
0 = posb+negb;
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