How to calculate Intraclass Correlation (ICC) for latent variables

General
1

Hi,
I have a two-level nested dataset where students are nested in teachers. To calculate ICC for a given variable I can use,

library(lme4)
model0 <- lmer (Variable1 ~ 1 + (1|teacher), data=df)
summary(model0)
Running this model gives me the Between and Within group variances for teachers to calculate ICC.

However, I would like to calculate ICC at level 2 (i.e., teachers) for a latent variable instead of observed variable.

My latent variable is:
library (lavaan)
model_Latent <- '

measurement model

Latent_Var  =~ Variable1 + Variable2 + Variable3 '

Is there a way to calculate ICC for latent variables?
Thanks!

2

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