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 Anonymous posted on Wednesday, August 10, 2005 - 12:10 am
Hi,
I've just started using MPlus. I'm testing a CFA-model and I'd like to fix the CORRELATION between the two factors to one. "f1 WITH f2 @ 1" seems to refer to the covariance, which causes a bad model fit in my case. How can I refer to the correlation between the two factors?
 Linda K. Muthen posted on Wednesday, August 10, 2005 - 8:24 am
If you free the first factor loading of f1 and f2 and set the metric of the factors by fixing the factor variances to one (f1@1 f2@1;), then f1 WITH f2 @1; will refer to a correlation.
 Anonymous posted on Wednesday, August 10, 2005 - 8:54 am
Thank you very much !!!
 anonymous posted on Tuesday, January 16, 2007 - 8:29 pm
Hi,

I have performed a CFA with 7 factors. These factors represent dimensions under a bigger construct, which I am not testing. I want to say that these 7 represent multiple dimensions of this construct. CFA results show that these 7 factors are correlated. I am using them then to predict a binary outcome. In my logit/probit model should I force these factor to not correlate? What would it be if I do?

Thanks
 Linda K. Muthen posted on Wednesday, January 17, 2007 - 9:08 am
If you have significant factor correlations and you fix them to zero, this will misspecify the model.
 min soo kim posted on Friday, February 19, 2010 - 11:51 am
I;m testing 2 factor model CFA and tried to conduct chi-square difference test for discriminat validity.

I set correlation between factors @1.

F1 by x1* x2 x3;
F2 by y1* y2 y3;
F1@0;
F2@0;
F1 with F2 @1;

but I got the message:
NO CONVERGENCE. SERIOUS PROBLEMS IN ITERATIONS.ESTIMATED COVARIANCE MATRIX NON-INVERTIBLE.CHECK YOUR STARTING VALUES.

What's wrong with this?

I appreciate.
 Linda K. Muthen posted on Friday, February 19, 2010 - 6:32 pm
If the factor correlation is not one, fixing it at one could cause convergence problems. Instead, try the following using the Wald test.

MODEL:
F1 by x1* x2 x3;
F2 by y1* y2 y3;
F1@0;
F2@0;
F1 with F2 (p1);

MODEL TEST:
0 = p1-1;
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