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Dec 9, 2018, 1:14:15 PM12/9/18

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I am new to lavaan after AMOS and I was wondering how I can fix the correlation between two latent factors to 1.

Cor(X,Y) $= 1 = \frac{\text{Cov(X,Y)}}{\text{SD(X)} \times \text{SD(Y)}}$, so Cov(X,Y) $= \text{Cor(X,Y)} \times \text{SD(X)} \times \text{SD(Y)}$

So you can fix a covariance to the equivalent of a correlation = 1 by labeling the factor (co)variance estimates and using them to define a constraint.

`X =~ ...`

Y =~ ...

X ~~ psi11*X + psi21*Y

Y ~~ psi22*Y

## model constraint

psi21 == sqrt(psi11 * psi22)

Terrence D. Jorgensen

Assistant Professor, Methods and Statistics

Research Institute for Child Development and Education, the University of Amsterdam

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