Common Latent Factor

[ecelik]

I'm trying to solve three Common Latent Factor (CLF) models that were previously estimated in Mplus using Jamovi.

Here are the models:

# Model A – CLF with no constraints
CLF =~ cr1 + cr2 + cr3 + cr4 + f1 + f2 + f3 + f4 + pp1 + pp2 + pp3 + pp4
# Measurement Model
CR =~ cr1 + cr2 + cr3 + cr4
FB =~ f1 + f2 + f3 + f4
PP =~ pp1 + pp2 + pp3 + pp4
# Orthogonal factors
CLF ~~ 0*CR
CLF ~~ 0*FB
CLF ~~ 0*PP

# Model B – CLF with constraints all loadings fixed to 0
CLF =~ 0*cr1 + 0*cr2 + 0*cr3 + 0*cr4 + 0*f1 + 0*f2 + 0*f3 + 0*f4 + 0*pp1 + 0*pp2 + 0*pp3 + 0*pp4
# Measurement Model
CR =~ cr1 + cr2 + cr3 + cr4
FB =~ f1 + f2 + f3 + f4
PP =~ pp1 + pp2 + pp3 + pp4
# Orthogonal factors
CLF ~~ 0*CR
CLF ~~ 0*FB
CLF ~~ 0*PP

# Model C – CLF with constraints all loadings fixed to 1
CLF =~ 1*cr1 + 1*cr2 + 1*cr3 + 1*cr4 + 1*f1 + 1*f2 + 1*f3 + 1*f4 + 1*pp1 + 1*pp2 + 1*pp3 + 1*pp4
# Measurement Model
CR =~ cr1 + cr2 + cr3 + cr4
FB =~ f1 + f2 + f3 + f4
PP =~ pp1 + pp2 + pp3 + pp4
# Orthogonal factors
CLF ~~ 0*CR
CLF ~~ 0*FB
CLF ~~ 0*PP

In Mplus, I get consistent test statistics and parameter estimates for these models.

In Jamovi, Model B and Model C produce very different test statistics and parameter estimates compared to Mplus.

Are the constraints for Model B and Model B correct in Jamovi?

What are your opinions and suggestions on making the Jamovi solution compatible with Mplus for CLF models?

I appreciate any help you can provide.