Yes! We don't have built-in and super convenient mechanisms for this, but it's possible. Using the Beta, you'd write something like this
rF1 <- mxMatrix(..., name="F1")# First order factor loadings
rU1 <- mxMatrix(..., name="U1")# First order uniquenesses
rF2 <- mxMatrix(..., name="F2")# Second order factor loadings
rU2 <- mxMatrix(..., name="U2")# Second order uniquenesses
ru <- mxMatrix(..., name="u")# intercepts for manifest vars
rv <- mxMatrix(..., name="v")# means for second order latent vars
ecov <- mxAlgebra(F1 %*%(F2 %*% U2 %*%t(F2))%*%t(F1)+ U1 , name="expCov")
emean <- mxAlgebra(F1 %*% F2 %*% v + u, name="expMean")
expectation <- mxExpectationNormal(cov="expCov", means="expMeans")
Yes! We don't have built-in and super convenient mechanisms for this, but it's possible. Using the Beta, you'd write something like this