Inspect model information
modsem_inspect.Rdfunction used to inspect fitted object. Similar to lavaan::lavInspect
argument what decides what to inspect
modsem_inspect.modsem_da Lets you
pull matrices, optimiser diagnostics, expected moments, or fit
measures from a modsem_da object.
Usage
modsem_inspect(object, what = NULL, ...)
# S3 method for class 'lavaan'
modsem_inspect(object, what = "free", ...)
# S3 method for class 'modsem_da'
modsem_inspect(object, what = NULL, ...)
# S3 method for class 'modsem_pi'
modsem_inspect(object, what = "free", ...)Value
A named list with the extracted information. If a single piece of information is returned, it is returned as is; not as a named element in a list.
Details
For modsem_pi objects, it is just a wrapper for lavaan::lavInspect.
For modsem_da objects an internal function is called, which takes different
keywords for the what argument.
Below is a list of possible values for the what argument,
organised in several sections. Keywords are case-sensitive.
Presets
"default"Everything in Sample information, Optimiser diagnostics Parameter tables, Model matrices, and Expected-moment matrices except the raw
dataslot"coef"Coefficients and variance-covariance matrix of both free and constrained parameters (same as
"coef.all")."coef.all"Coefficients and variance-covariance matrix of both free and constrained parameters (same as
"coef")."coef.free"Coefficients and variance-covariance matrix of the free parameters.
"all"All items listed below, including
data."matrices"The model matrices.
"optim"Only the items under Optimiser diagnostics
.
"fit"A list with
fit.h0,fit.h1, comparative.fit
Sample information:
"N"Number of analysed rows (integer).
Parameter estimates and standard errors:
"coefficients.free"Free parameter values.
"coefficients.all"Both free and constrained parameter values.
"vcov.free"Variance–covariance of free coefficients only.
"vcov.all"Variance–covariance of both free and constrained coefficients.
Optimiser diagnostics:
"coefficients.free"Free parameter values.
"vcov.free"Variance–covariance of free coefficients only.
"information"Fisher information matrix.
"loglik"Log-likelihood.
"iterations"Optimiser iteration count.
"convergence"TRUE/FALSEindicating whether the model converged.
Parameter tables:
"partable"Parameter table with estimated parameters.
"partable.input"Parsed model syntax.
Model matrices:
"lambda"\(\Lambda\) – Factor loadings.
"tau"\(\tau\) – Intercepts for indicators.
"theta"\(\Theta\) – Residual (Co-)Variances for indicators.
"gamma.xi"\(\Gamma_{\xi}\) – Structural coefficients between exogenous and endogenous variables.
"gamma.eta"\(\Gamma_{\eta}\) – Structural coefficients between endogenous variables.
"omega.xi.xi"\(\Omega_{\xi\xi}\) – Interaction effects between exogenous variables
"omega.eta.xi"\(\Omega_{\eta\xi}\) – Interaction effects between exogenous and endogenous variables
"phi"\(\Phi\) – (Co-)Variances among exogenous variables.
"psi"\(\Psi\) – Residual (co-)variances among engoenous variables.
"alpha"\(\alpha\) – Intercepts for endogenous variables
"beta0"\(\beta_0\) – Intercepts for exogenous variables
Model-implied matrices:
"cov.ov"Model-implied covariance of observed variables.
"cov.lv"Model-implied covariance of latent variables.
"cov.all"Joint covariance of observed + latent variables.
"cor.ov"Correlation counterpart of
"cov.ov"."cor.lv"Correlation counterpart of
"cov.lv"."cor.all"Correlation counterpart of
"cov.all"."mean.ov"Expected means of observed variables.
"mean.lv"Expected means of latent variables.
"mean.all"Joint mean vector.
R-squared and standardized residual variances:
"r2.all"R-squared values for both observed (i.e., indicators) and latent endogenous variables.
"r2.lv"R-squared values for latent endogenous variables.
"r2.ov"R-squared values for observed (i.e., indicators) variables.
"res.all"Standardized residuals (i.e.,
1 - R^2) for both observed (i.e., indicators) and latent endogenous variables."res.lv"Standardized residuals (i.e.,
1 - R^2) for latent endogenous variables."res.ov"Standardized residuals (i.e.,
1 - R^2) for observed variables (i.e., indicators).
Interaction-specific caveats:
If the model contains an uncentred latent interaction term it is centred internally before any
cov.*,cor.*, ormean.*matrices are calculated.These matrices should not be used to compute fit-statistics (e.g., chi-square and RMSEA) if there is an interaction term in the model.
Examples
# \dontrun{
m1 <- "
# Outer Model
X =~ x1 + x2 + x3
Y =~ y1 + y2 + y3
Z =~ z1 + z2 + z3
# Inner model
Y ~ X + Z + X:Z
"
est <- modsem(m1, oneInt, "lms")
modsem_inspect(est) # everything except "data"
#> $N
#> [1] 2000
#>
#> $vcov.all
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1 z3~1
#> X=~x2 0.000
#> X=~x3 0.000 0.000
#> Z=~z2 0.000 0.000 0.000
#> Z=~z3 0.000 0.000 0.000 0.000
#> Y=~y2 0.000 0.000 0.000 0.000 0.000
#> Y=~y3 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> x2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> z2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~~x1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1 0.001
#> y2~1 0.001 0.001
#> y3~1 0.001 0.001 0.001
#> x1~~x1 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2 0.000
#> y3~~y3 0.000 0.000
#> X~~X 0.000 0.000 0.001
#> X~~Z 0.000 0.000 0.000 0.001
#> Z~~Z 0.000 0.000 0.000 0.000 0.001
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#>
#> $vcov.free
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1 z3~1
#> X=~x2 0.000
#> X=~x3 0.000 0.000
#> Z=~z2 0.000 0.000 0.000
#> Z=~z3 0.000 0.000 0.000 0.000
#> Y=~y2 0.000 0.000 0.000 0.000 0.000
#> Y=~y3 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> x2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> z2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~~x1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1 0.001
#> y2~1 0.001 0.001
#> y3~1 0.001 0.001 0.001
#> x1~~x1 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2 0.000
#> y3~~y3 0.000 0.000
#> X~~X 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.001
#> Z~~Z 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#>
#> $information
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1
#> X=~x2 8940.747
#> X=~x3 -2765.687 8146.127
#> Z=~z2 63.585 74.532 9240.230
#> Z=~z3 72.563 81.754 -3032.851 8777.372
#> Y=~y2 -169.875 -194.485 -158.858 -172.299 23805.972
#> Y=~y3 -176.904 -205.656 -169.904 -183.161 -8380.278 21003.478
#> x1~1 34.115 35.756 92.255 97.701 -121.839 -132.311 8012.694
#> x2~1 23.345 28.025 72.307 76.575 -95.494 -103.702 -3634.461
#> x3~1 29.974 28.072 81.057 85.842 -107.050 -116.252 -4074.307
#> z1~1 90.735 98.998 26.865 31.847 -126.389 -133.258 53.908
#> z2~1 76.804 83.799 14.151 26.965 -106.984 -112.798 45.632
#> z3~1 84.254 91.927 24.802 21.316 -117.361 -123.740 50.058
#> y1~1 -23.763 -26.796 -24.006 -28.510 -588.847 -626.345 -176.130
#> y2~1 -19.609 -22.112 -19.809 -23.526 1365.671 -516.870 -145.337
#> y3~1 -20.851 -23.513 -21.065 -25.017 -516.883 1198.700 -154.545
#> x1~~x1 -1396.347 -1483.742 17.236 27.782 -10.528 -11.375 -12.161
#> x2~~x2 2711.567 -914.206 25.883 15.823 -6.339 -14.535 -13.200
#> x3~~x3 -1033.780 2733.337 14.451 17.608 14.546 22.541 -2.766
#> z1~~z1 12.119 13.031 -1311.348 -1440.565 14.620 13.817 38.991
#> z2~~z2 33.211 27.795 2849.053 -1039.784 -2.992 0.224 12.501
#> z3~~z3 24.314 33.491 -1122.469 2976.628 -14.486 -17.601 34.550
#> y1~~y1 1.265 0.821 7.268 5.970 -1489.411 -1622.406 2.830
#> y2~~y2 3.555 -5.601 -12.354 -9.445 3046.470 -1168.964 -11.090
#> y3~~y3 -16.518 -12.664 -8.496 -10.894 -1249.403 2844.950 2.599
#> X~~X 1137.039 1267.482 -50.877 -57.822 62.875 65.990 -9.888
#> X~~Z -118.581 -132.968 111.937 130.617 32.035 34.475 -52.127
#> Z~~Z -25.871 -29.528 1157.554 1267.859 48.924 52.020 -16.818
#> Y~~Y -29.915 -43.016 -32.768 -35.071 550.939 591.078 -12.812
#> Y~X -290.325 -315.148 -39.742 -48.469 435.470 458.944 -71.950
#> Y~Z -63.995 -68.938 -276.217 -286.143 396.880 432.271 -418.155
#> Y~X:Z -291.574 -336.412 -317.452 -348.116 417.876 437.485 -76.997
#> x2~1 x3~1 z1~1 z2~1 z3~1 y1~1 y2~1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1 9491.071
#> x3~1 -3193.328 8581.090
#> z1~1 42.252 47.365 7693.650
#> z2~1 35.765 40.093 -3641.280 9448.707
#> z3~1 39.234 43.982 -3994.479 -3381.193 8933.046
#> y1~1 -138.045 -154.752 -144.512 -122.325 -134.190 7704.279
#> y2~1 -113.911 -127.696 -119.247 -100.939 -110.730 -3985.344 9668.073
#> y3~1 -121.128 -135.787 -126.803 -107.334 -117.745 -4237.854 -3496.944
#> x1~~x1 13.892 15.573 49.676 42.049 46.128 -6.784 -5.598
#> x2~~x2 -43.431 -11.598 13.173 11.150 12.232 3.973 3.279
#> x3~~x3 -2.168 -27.446 31.653 26.793 29.392 5.867 4.842
#> z1~~z1 30.560 34.259 -19.288 -9.012 -9.347 -1.821 -1.502
#> z2~~z2 9.798 10.984 3.434 -15.043 3.554 -2.269 -1.872
#> z3~~z3 27.079 30.356 -9.134 -7.754 -19.680 9.397 7.754
#> y1~~y1 2.218 2.486 -4.751 -4.022 -4.410 -12.162 -3.561
#> y2~~y2 -8.692 -9.744 2.634 2.229 2.447 -3.645 -21.170
#> y3~~y3 2.037 2.284 -3.225 -2.730 -2.994 -2.830 -2.253
#> X~~X -7.750 -8.688 -31.105 -26.329 -28.896 -2.310 -1.906
#> X~~Z -40.856 -45.800 -39.574 -33.498 -36.747 55.725 45.983
#> Z~~Z -13.182 -14.777 6.545 5.539 6.107 -13.182 -10.878
#> Y~~Y -10.042 -11.257 -13.482 -11.413 -12.510 -1.478 -1.217
#> Y~X -56.393 -63.217 -398.754 -337.532 -370.272 -34.772 -28.693
#> Y~Z -327.738 -367.401 -71.350 -60.395 -66.268 -37.973 -31.334
#> Y~X:Z -60.348 -67.652 -51.240 -43.372 -47.597 129.456 106.823
#> y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1 8513.023
#> x1~~x1 -5.953 16046.246
#> x2~~x2 3.486 3561.575 22501.072
#> x3~~x3 5.148 4022.366 2497.020 18385.647
#> z1~~z1 -1.596 2.169 14.429 21.213 14803.641
#> z2~~z2 -1.989 52.008 -22.954 23.590 3284.983 22324.395
#> z3~~z3 8.247 13.160 42.381 18.614 3963.400 2881.640 19933.598
#> y1~~y1 -3.147 20.181 10.889 17.002 18.904 20.488 35.798
#> y2~~y2 -2.686 6.776 -18.913 29.505 3.041 10.424 -10.323
#> y3~~y3 -13.417 8.653 21.476 -5.536 12.922 -6.956 0.395
#> X~~X -2.026 236.334 141.155 217.200 -10.095 -15.335 -7.113
#> X~~Z 48.896 -23.108 -50.087 -62.739 12.921 13.464 -27.406
#> Z~~Z -11.567 -13.538 4.544 8.633 264.314 188.012 236.671
#> Y~~Y -1.278 87.142 35.734 97.591 85.855 57.362 64.144
#> Y~X -30.511 -171.079 -57.392 -129.435 33.310 -16.997 6.699
#> Y~Z -33.318 -23.023 15.999 4.538 -138.180 -41.861 -144.147
#> Y~X:Z 113.593 -105.128 -100.937 -73.765 -101.526 -117.057 -141.399
#> y1~~y1 y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1 14845.552
#> y2~~y2 3727.682 23377.611
#> y3~~y3 4422.244 3346.205 18127.337
#> X~~X -3.289 0.751 5.330 3679.722
#> X~~Z 1.111 0.378 -1.842 -317.004 1821.103
#> Z~~Z -5.003 4.035 4.559 0.730 44.593 3588.855
#> Y~~Y 170.591 79.635 60.896 7.085 -1.005 8.743 760.791
#> Y~X 18.307 -9.492 11.703 121.160 36.074 -2.399 51.685
#> Y~Z -13.291 42.514 -8.466 7.145 59.573 90.562 46.891
#> Y~X:Z -25.879 15.038 54.542 121.437 54.404 111.162 109.053
#> Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2
#> y3~~y3
#> X~~X
#> X~~Z
#> Z~~Z
#> Y~~Y
#> Y~X 1549.691
#> Y~Z 320.319 1596.952
#> Y~X:Z -64.348 -28.210 1511.779
#>
#> $coefficients.all
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1
#> 0.803 0.914 0.810 0.881 0.798 0.899 1.023 1.216 0.920 1.012 1.206
#> z3~1 y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> 0.916 1.037 1.220 0.954 0.158 0.162 0.164 0.167 0.160 0.158 0.160
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> 0.154 0.164 0.981 0.200 1.017 0.980 0.673 0.569 0.718
#>
#> $coefficients.free
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1
#> 0.803 0.914 0.810 0.881 0.798 0.899 1.023 1.216 0.920 1.012 1.206
#> z3~1 y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> 0.916 1.037 1.220 0.954 0.158 0.162 0.164 0.167 0.160 0.158 0.160
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> 0.154 0.164 0.981 0.200 1.017 0.980 0.673 0.569 0.718
#>
#> $partable
#> lhs op rhs label est std.error z.value p.value ci.lower ci.upper
#> 1 X =~ x1 1.000 NA NA NA NA NA
#> 2 X =~ x2 0.803 0.013 63.813 0 0.779 0.828
#> 3 X =~ x3 0.914 0.014 67.611 0 0.887 0.940
#> 4 Z =~ z1 1.000 NA NA NA NA NA
#> 5 Z =~ z2 0.810 0.012 65.087 0 0.786 0.835
#> 6 Z =~ z3 0.881 0.013 67.615 0 0.856 0.907
#> 7 Y =~ y1 1.000 NA NA NA NA NA
#> 8 Y =~ y2 0.798 0.007 107.550 0 0.784 0.813
#> 9 Y =~ y3 0.899 0.008 112.586 0 0.883 0.915
#> 10 Y ~ X 0.673 0.031 21.688 0 0.613 0.734
#> 11 Y ~ Z 0.569 0.030 18.734 0 0.510 0.629
#> 12 Y ~ X:Z 0.718 0.028 25.826 0 0.663 0.772
#> 13 x1 ~1 1.023 0.024 42.804 0 0.976 1.070
#> 14 x2 ~1 1.216 0.020 60.873 0 1.177 1.255
#> 15 x3 ~1 0.920 0.022 41.400 0 0.876 0.963
#> 16 z1 ~1 1.012 0.024 41.578 0 0.964 1.059
#> 17 z2 ~1 1.206 0.020 59.274 0 1.166 1.246
#> 18 z3 ~1 0.916 0.022 42.067 0 0.873 0.959
#> 19 y1 ~1 1.037 0.033 31.398 0 0.972 1.102
#> 20 y2 ~1 1.220 0.027 45.424 0 1.168 1.273
#> 21 y3 ~1 0.954 0.030 31.806 0 0.895 1.013
#> 22 x1 ~~ x1 0.158 0.009 18.171 0 0.141 0.175
#> 23 x2 ~~ x2 0.162 0.007 23.160 0 0.148 0.176
#> 24 x3 ~~ x3 0.164 0.008 20.758 0 0.149 0.180
#> 25 z1 ~~ z1 0.167 0.009 18.504 0 0.149 0.184
#> 26 z2 ~~ z2 0.160 0.007 22.680 0 0.146 0.173
#> 27 z3 ~~ z3 0.158 0.008 20.779 0 0.143 0.173
#> 28 y1 ~~ y1 0.160 0.009 18.011 0 0.142 0.177
#> 29 y2 ~~ y2 0.154 0.007 22.687 0 0.141 0.168
#> 30 y3 ~~ y3 0.164 0.008 20.683 0 0.148 0.179
#> 31 X ~~ X 0.981 0.036 26.969 0 0.910 1.052
#> 32 X ~~ Z 0.200 0.024 8.240 0 0.152 0.247
#> 33 Z ~~ Z 1.017 0.038 26.932 0 0.943 1.092
#> 34 Y ~~ Y 0.980 0.038 25.938 0 0.906 1.054
#>
#> $partable.input
#> lhs op rhs mod
#> 1 X =~ x1
#> 2 X =~ x2
#> 3 X =~ x3
#> 4 Y =~ y1
#> 5 Y =~ y2
#> 6 Y =~ y3
#> 7 Z =~ z1
#> 8 Z =~ z2
#> 9 Z =~ z3
#> 10 Y ~ X
#> 11 Y ~ Z
#> 12 Y ~ X:Z
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 41
#>
#> $convergence
#> [1] TRUE
#>
#> $lambda
#> X Z Y
#> x1 1.000 0.000 0.000
#> x2 0.803 0.000 0.000
#> x3 0.914 0.000 0.000
#> z1 0.000 1.000 0.000
#> z2 0.000 0.810 0.000
#> z3 0.000 0.881 0.000
#> y1 0.000 0.000 1.000
#> y2 0.000 0.000 0.798
#> y3 0.000 0.000 0.899
#>
#> $tau
#> ~1
#> x1 1.023
#> x2 1.216
#> x3 0.920
#> z1 1.012
#> z2 1.206
#> z3 0.916
#> y1 1.037
#> y2 1.220
#> y3 0.954
#>
#> $theta
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 0.158
#> x2 0.000 0.162
#> x3 0.000 0.000 0.164
#> z1 0.000 0.000 0.000 0.167
#> z2 0.000 0.000 0.000 0.000 0.160
#> z3 0.000 0.000 0.000 0.000 0.000 0.158
#> y1 0.000 0.000 0.000 0.000 0.000 0.000 0.160
#> y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.154
#> y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.164
#>
#> $gamma.xi
#> X Z
#> Y 0.673 0.569
#>
#> $gamma.eta
#> Y
#> Y 0.000
#>
#> $omega.xi.xi
#> X Z
#> Y~X 0.000 0.718
#> Y~Z 0.000 0.000
#>
#> $omega.eta.xi
#> Y
#> Y~X 0.000
#> Y~Z 0.000
#>
#> $phi
#> X Z
#> X 0.981
#> Z 0.200 1.017
#>
#> $psi
#> Y
#> Y 0.980
#>
#> $alpha
#> ~1
#> Y 0.000
#>
#> $beta0
#> ~1
#> X 0.000
#> Z 0.000
#>
#> $cov.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 1.139
#> x2 0.788 0.795
#> x3 0.897 0.720 0.984
#> z1 0.200 0.161 0.183 1.184
#> z2 0.162 0.130 0.148 0.824 0.828
#> z3 0.176 0.142 0.161 0.896 0.726 0.948
#> y1 0.774 0.622 0.708 0.714 0.579 0.629 2.603
#> y2 0.618 0.497 0.565 0.570 0.462 0.502 1.950 1.711
#> y3 0.696 0.560 0.636 0.642 0.520 0.566 2.197 1.753 2.139
#>
#> $cov.lv
#> X Z X:Z Y
#> X 0.981
#> Z 0.200 1.017
#> X:Z 0.000 0.000 1.038
#> Y 0.774 0.714 0.745 2.443
#>
#> $cov.all
#> X Z X:Z Y x1 x2 x3 z1 z2 z3 y1 y2
#> X 0.981
#> Z 0.200 1.017
#> X:Z 0.000 0.000 1.038
#> Y 0.774 0.714 0.745 2.443
#> x1 0.981 0.200 0.000 0.774 1.139
#> x2 0.788 0.161 0.000 0.622 0.788 0.795
#> x3 0.897 0.183 0.000 0.708 0.897 0.720 0.984
#> z1 0.200 1.017 0.000 0.714 0.200 0.161 0.183 1.184
#> z2 0.162 0.824 0.000 0.579 0.162 0.130 0.148 0.824 0.828
#> z3 0.176 0.896 0.000 0.629 0.176 0.142 0.161 0.896 0.726 0.948
#> y1 0.774 0.714 0.745 2.443 0.774 0.622 0.708 0.714 0.579 0.629 2.603
#> y2 0.618 0.570 0.595 1.950 0.618 0.497 0.565 0.570 0.462 0.502 1.950 1.711
#> y3 0.696 0.642 0.670 2.197 0.696 0.560 0.636 0.642 0.520 0.566 2.197 1.753
#> y3
#> X
#> Z
#> X:Z
#> Y
#> x1
#> x2
#> x3
#> z1
#> z2
#> z3
#> y1
#> y2
#> y3 2.139
#>
#> $cor.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 1.000
#> x2 0.828 1.000
#> x3 0.847 0.814 1.000
#> z1 0.172 0.165 0.169 1.000
#> z2 0.167 0.160 0.164 0.833 1.000
#> z3 0.169 0.163 0.167 0.846 0.820 1.000
#> y1 0.450 0.432 0.442 0.407 0.394 0.400 1.000
#> y2 0.443 0.426 0.435 0.400 0.388 0.394 0.924 1.000
#> y3 0.446 0.429 0.439 0.403 0.391 0.397 0.931 0.917 1.000
#>
#> $cor.lv
#> X Z X:Z Y
#> X 1.000
#> Z 0.200 1.000
#> X:Z 0.000 0.000 1.000
#> Y 0.500 0.453 0.468 1.000
#>
#> $cor.all
#> X Z X:Z Y x1 x2 x3 z1 z2 z3 y1 y2
#> X 1.000
#> Z 0.200 1.000
#> X:Z 0.000 0.000 1.000
#> Y 0.500 0.453 0.468 1.000
#> x1 0.928 0.186 0.000 0.464 1.000
#> x2 0.892 0.179 0.000 0.446 0.828 1.000
#> x3 0.913 0.183 0.000 0.457 0.847 0.814 1.000
#> z1 0.185 0.927 0.000 0.420 0.172 0.165 0.169 1.000
#> z2 0.180 0.898 0.000 0.407 0.167 0.160 0.164 0.833 1.000
#> z3 0.183 0.913 0.000 0.413 0.169 0.163 0.167 0.846 0.820 1.000
#> y1 0.485 0.439 0.453 0.969 0.450 0.432 0.442 0.407 0.394 0.400 1.000
#> y2 0.477 0.432 0.446 0.954 0.443 0.426 0.435 0.400 0.388 0.394 0.924 1.000
#> y3 0.481 0.435 0.450 0.961 0.446 0.429 0.439 0.403 0.391 0.397 0.931 0.917
#> y3
#> X
#> Z
#> X:Z
#> Y
#> x1
#> x2
#> x3
#> z1
#> z2
#> z3
#> y1
#> y2
#> y3 1.000
#>
#> $mean.lv
#> ~1
#> X 0.000
#> Z 0.000
#> X:Z 0.200
#> Y 0.144
#>
#> $mean.ov
#> ~1
#> x1 1.023
#> x2 1.216
#> x3 0.920
#> z1 1.012
#> z2 1.206
#> z3 0.916
#> y1 1.181
#> y2 1.335
#> y3 1.083
#>
#> $mean.all
#> ~1
#> X 0.000
#> Z 0.000
#> X:Z 0.200
#> Y 0.144
#> x1 1.023
#> x2 1.216
#> x3 0.920
#> z1 1.012
#> z2 1.206
#> z3 0.916
#> y1 1.181
#> y2 1.335
#> y3 1.083
#>
#> $r2.all
#> Y x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.599 0.861 0.796 0.833 0.859 0.807 0.833 0.939 0.910 0.924
#>
#> $r2.lv
#> Y
#> 0.599
#>
#> $r2.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.861 0.796 0.833 0.859 0.807 0.833 0.939 0.910 0.924
#>
#> $res.all
#> Y x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.401 0.139 0.204 0.167 0.141 0.193 0.167 0.061 0.090 0.076
#>
#> $res.lv
#> Y
#> 0.401
#>
#> $res.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.139 0.204 0.167 0.141 0.193 0.167 0.061 0.090 0.076
#>
modsem_inspect(est, what = "optim")
#> $coefficients.free
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1
#> 0.803 0.914 0.810 0.881 0.798 0.899 1.023 1.216 0.920 1.012 1.206
#> z3~1 y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> 0.916 1.037 1.220 0.954 0.158 0.162 0.164 0.167 0.160 0.158 0.160
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> 0.154 0.164 0.981 0.200 1.017 0.980 0.673 0.569 0.718
#>
#> $vcov.free
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1 z3~1
#> X=~x2 0.000
#> X=~x3 0.000 0.000
#> Z=~z2 0.000 0.000 0.000
#> Z=~z3 0.000 0.000 0.000 0.000
#> Y=~y2 0.000 0.000 0.000 0.000 0.000
#> Y=~y3 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> x2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> z2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~~x1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1 0.001
#> y2~1 0.001 0.001
#> y3~1 0.001 0.001 0.001
#> x1~~x1 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2 0.000
#> y3~~y3 0.000 0.000
#> X~~X 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.001
#> Z~~Z 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#>
#> $information
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1
#> X=~x2 8940.747
#> X=~x3 -2765.687 8146.127
#> Z=~z2 63.585 74.532 9240.230
#> Z=~z3 72.563 81.754 -3032.851 8777.372
#> Y=~y2 -169.875 -194.485 -158.858 -172.299 23805.972
#> Y=~y3 -176.904 -205.656 -169.904 -183.161 -8380.278 21003.478
#> x1~1 34.115 35.756 92.255 97.701 -121.839 -132.311 8012.694
#> x2~1 23.345 28.025 72.307 76.575 -95.494 -103.702 -3634.461
#> x3~1 29.974 28.072 81.057 85.842 -107.050 -116.252 -4074.307
#> z1~1 90.735 98.998 26.865 31.847 -126.389 -133.258 53.908
#> z2~1 76.804 83.799 14.151 26.965 -106.984 -112.798 45.632
#> z3~1 84.254 91.927 24.802 21.316 -117.361 -123.740 50.058
#> y1~1 -23.763 -26.796 -24.006 -28.510 -588.847 -626.345 -176.130
#> y2~1 -19.609 -22.112 -19.809 -23.526 1365.671 -516.870 -145.337
#> y3~1 -20.851 -23.513 -21.065 -25.017 -516.883 1198.700 -154.545
#> x1~~x1 -1396.347 -1483.742 17.236 27.782 -10.528 -11.375 -12.161
#> x2~~x2 2711.567 -914.206 25.883 15.823 -6.339 -14.535 -13.200
#> x3~~x3 -1033.780 2733.337 14.451 17.608 14.546 22.541 -2.766
#> z1~~z1 12.119 13.031 -1311.348 -1440.565 14.620 13.817 38.991
#> z2~~z2 33.211 27.795 2849.053 -1039.784 -2.992 0.224 12.501
#> z3~~z3 24.314 33.491 -1122.469 2976.628 -14.486 -17.601 34.550
#> y1~~y1 1.265 0.821 7.268 5.970 -1489.411 -1622.406 2.830
#> y2~~y2 3.555 -5.601 -12.354 -9.445 3046.470 -1168.964 -11.090
#> y3~~y3 -16.518 -12.664 -8.496 -10.894 -1249.403 2844.950 2.599
#> X~~X 1137.039 1267.482 -50.877 -57.822 62.875 65.990 -9.888
#> X~~Z -118.581 -132.968 111.937 130.617 32.035 34.475 -52.127
#> Z~~Z -25.871 -29.528 1157.554 1267.859 48.924 52.020 -16.818
#> Y~~Y -29.915 -43.016 -32.768 -35.071 550.939 591.078 -12.812
#> Y~X -290.325 -315.148 -39.742 -48.469 435.470 458.944 -71.950
#> Y~Z -63.995 -68.938 -276.217 -286.143 396.880 432.271 -418.155
#> Y~X:Z -291.574 -336.412 -317.452 -348.116 417.876 437.485 -76.997
#> x2~1 x3~1 z1~1 z2~1 z3~1 y1~1 y2~1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1 9491.071
#> x3~1 -3193.328 8581.090
#> z1~1 42.252 47.365 7693.650
#> z2~1 35.765 40.093 -3641.280 9448.707
#> z3~1 39.234 43.982 -3994.479 -3381.193 8933.046
#> y1~1 -138.045 -154.752 -144.512 -122.325 -134.190 7704.279
#> y2~1 -113.911 -127.696 -119.247 -100.939 -110.730 -3985.344 9668.073
#> y3~1 -121.128 -135.787 -126.803 -107.334 -117.745 -4237.854 -3496.944
#> x1~~x1 13.892 15.573 49.676 42.049 46.128 -6.784 -5.598
#> x2~~x2 -43.431 -11.598 13.173 11.150 12.232 3.973 3.279
#> x3~~x3 -2.168 -27.446 31.653 26.793 29.392 5.867 4.842
#> z1~~z1 30.560 34.259 -19.288 -9.012 -9.347 -1.821 -1.502
#> z2~~z2 9.798 10.984 3.434 -15.043 3.554 -2.269 -1.872
#> z3~~z3 27.079 30.356 -9.134 -7.754 -19.680 9.397 7.754
#> y1~~y1 2.218 2.486 -4.751 -4.022 -4.410 -12.162 -3.561
#> y2~~y2 -8.692 -9.744 2.634 2.229 2.447 -3.645 -21.170
#> y3~~y3 2.037 2.284 -3.225 -2.730 -2.994 -2.830 -2.253
#> X~~X -7.750 -8.688 -31.105 -26.329 -28.896 -2.310 -1.906
#> X~~Z -40.856 -45.800 -39.574 -33.498 -36.747 55.725 45.983
#> Z~~Z -13.182 -14.777 6.545 5.539 6.107 -13.182 -10.878
#> Y~~Y -10.042 -11.257 -13.482 -11.413 -12.510 -1.478 -1.217
#> Y~X -56.393 -63.217 -398.754 -337.532 -370.272 -34.772 -28.693
#> Y~Z -327.738 -367.401 -71.350 -60.395 -66.268 -37.973 -31.334
#> Y~X:Z -60.348 -67.652 -51.240 -43.372 -47.597 129.456 106.823
#> y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1 8513.023
#> x1~~x1 -5.953 16046.246
#> x2~~x2 3.486 3561.575 22501.072
#> x3~~x3 5.148 4022.366 2497.020 18385.647
#> z1~~z1 -1.596 2.169 14.429 21.213 14803.641
#> z2~~z2 -1.989 52.008 -22.954 23.590 3284.983 22324.395
#> z3~~z3 8.247 13.160 42.381 18.614 3963.400 2881.640 19933.598
#> y1~~y1 -3.147 20.181 10.889 17.002 18.904 20.488 35.798
#> y2~~y2 -2.686 6.776 -18.913 29.505 3.041 10.424 -10.323
#> y3~~y3 -13.417 8.653 21.476 -5.536 12.922 -6.956 0.395
#> X~~X -2.026 236.334 141.155 217.200 -10.095 -15.335 -7.113
#> X~~Z 48.896 -23.108 -50.087 -62.739 12.921 13.464 -27.406
#> Z~~Z -11.567 -13.538 4.544 8.633 264.314 188.012 236.671
#> Y~~Y -1.278 87.142 35.734 97.591 85.855 57.362 64.144
#> Y~X -30.511 -171.079 -57.392 -129.435 33.310 -16.997 6.699
#> Y~Z -33.318 -23.023 15.999 4.538 -138.180 -41.861 -144.147
#> Y~X:Z 113.593 -105.128 -100.937 -73.765 -101.526 -117.057 -141.399
#> y1~~y1 y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1 14845.552
#> y2~~y2 3727.682 23377.611
#> y3~~y3 4422.244 3346.205 18127.337
#> X~~X -3.289 0.751 5.330 3679.722
#> X~~Z 1.111 0.378 -1.842 -317.004 1821.103
#> Z~~Z -5.003 4.035 4.559 0.730 44.593 3588.855
#> Y~~Y 170.591 79.635 60.896 7.085 -1.005 8.743 760.791
#> Y~X 18.307 -9.492 11.703 121.160 36.074 -2.399 51.685
#> Y~Z -13.291 42.514 -8.466 7.145 59.573 90.562 46.891
#> Y~X:Z -25.879 15.038 54.542 121.437 54.404 111.162 109.053
#> Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2
#> y3~~y3
#> X~~X
#> X~~Z
#> Z~~Z
#> Y~~Y
#> Y~X 1549.691
#> Y~Z 320.319 1596.952
#> Y~X:Z -64.348 -28.210 1511.779
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 41
#>
#> $convergence
#> [1] TRUE
#>
modsem_inspect(est, what = "phi")
#> X Z
#> X 0.981
#> Z 0.200 1.017
# }