Inspect model information
Source:R/generics.R, R/generics_lavaan.R, R/generics_modsem_da.R, and 1 more
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 lavaan-style 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 lavaan-style 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).
"ngroups"Number of groups in model (integer).
"group"Group variable in model (character).
"group.label"Group labels (character).
"ovs"Observed variables used in model (character).
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."iteration.history"LMS iteration history with mode, log-likelihood, changes, elapsed time, and forecast columns, if available.
Parameter tables:
"partable"Parameter table with estimated parameters.
"partable.input"Parsed model syntax.
Model matrices:
"lambda"Factor loadings.
"theta"Residual covariance matrix for indicators.
"wmat"Composite loading matrix for observed indicators, if present.
"tmat"Composite residual matrix for indicators, if present.
"psi"Residual covariance matrix for latent variables.
"beta"Structural regression matrix among latent variables.
"nu"Intercepts for observed variables.
"alpha"Intercepts for latent 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 8937.656
#> X=~x3 -2765.261 8143.172
#> Z=~z2 63.670 74.625 9237.059
#> Z=~z3 72.658 81.858 -3031.342 8774.520
#> Y=~y2 -169.929 -194.537 -158.773 -172.226 23796.517
#> Y=~y3 -176.970 -205.721 -169.835 -183.105 -8378.334 20996.164
#> x1~1 32.924 34.497 92.190 97.631 -121.932 -132.413 8008.812
#> x2~1 26.214 27.041 72.265 76.530 -95.579 -103.794 -3632.904
#> x3~1 28.931 30.713 81.008 85.790 -107.143 -116.353 -4072.472
#> z1~1 90.687 98.941 24.188 28.934 -126.420 -133.304 53.766
#> z2~1 76.771 83.758 21.124 24.494 -107.020 -112.848 45.516
#> z3~1 84.221 91.886 22.464 27.525 -117.405 -123.799 49.933
#> y1~1 -23.821 -26.857 -24.063 -28.575 -592.265 -629.957 -175.980
#> y2~1 -19.663 -22.169 -19.863 -23.588 1375.007 -519.996 -145.262
#> y3~1 -20.910 -23.575 -21.122 -25.084 -519.892 1206.740 -154.476
#> x1~~x1 -1393.744 -1480.829 17.212 27.753 -10.436 -11.276 17.897
#> x2~~x2 2729.012 -912.778 25.858 15.801 -6.263 -14.452 -12.877
#> x3~~x3 -1032.241 2753.198 14.433 17.586 14.611 22.604 -2.790
#> z1~~z1 12.158 13.079 -1310.349 -1439.357 14.600 13.801 38.945
#> z2~~z2 33.193 27.775 2862.411 -1038.155 -2.934 0.291 12.441
#> z3~~z3 24.304 33.477 -1120.906 2990.204 -14.418 -17.530 34.489
#> y1~~y1 1.157 0.694 7.158 5.855 -1488.330 -1620.477 2.730
#> y2~~y2 3.599 -5.544 -12.301 -9.385 3075.827 -1162.798 -11.063
#> y3~~y3 -16.483 -12.622 -8.459 -10.858 -1244.505 2873.174 2.593
#> X~~X 1121.362 1249.865 -50.680 -57.633 62.634 65.787 -9.516
#> X~~Z -118.605 -132.991 111.861 130.547 32.052 34.495 -51.829
#> Z~~Z -25.902 -29.561 1158.252 1268.774 48.972 52.078 -16.922
#> Y~~Y -29.989 -43.089 -32.820 -35.125 551.357 591.625 -13.009
#> Y~X -290.138 -314.929 -39.918 -48.667 435.300 458.820 -72.021
#> Y~Z -64.154 -69.107 -275.672 -285.573 396.688 432.129 -418.375
#> Y~X:Z -291.880 -336.746 -317.374 -348.077 418.247 437.936 -76.945
#> 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 9487.120
#> x3~1 -3192.281 8577.408
#> z1~1 42.146 47.245 7692.248
#> z2~1 35.678 39.995 -3640.287 9446.380
#> z3~1 39.141 43.877 -3993.547 -3380.722 8931.022
#> y1~1 -137.945 -154.636 -144.365 -122.211 -134.071 7702.713
#> y2~1 -113.867 -127.644 -119.165 -100.879 -110.668 -3983.888 9665.535
#> y3~1 -121.089 -135.740 -126.724 -107.277 -117.688 -4236.571 -3497.066
#> x1~~x1 13.958 15.647 49.551 41.948 46.018 -6.749 -5.571
#> x2~~x2 -10.023 -11.316 13.115 11.102 12.179 4.000 3.302
#> x3~~x3 -2.187 -2.371 31.581 26.735 29.329 5.882 4.855
#> z1~~z1 30.528 34.222 -7.484 -6.413 -7.036 -1.818 -1.501
#> z2~~z2 9.752 10.932 5.839 5.020 5.422 -2.251 -1.858
#> z3~~z3 27.035 30.306 -6.332 -5.360 -5.795 9.417 7.773
#> y1~~y1 2.140 2.399 -4.833 -4.092 -4.489 -0.166 -0.311
#> y2~~y2 -8.672 -9.721 2.668 2.258 2.477 -0.500 -0.302
#> y3~~y3 2.033 2.279 -3.217 -2.724 -2.988 0.128 0.105
#> X~~X -7.459 -8.362 -30.999 -26.242 -28.789 -2.271 -1.875
#> X~~Z -40.627 -45.543 -39.312 -33.279 -36.509 55.728 46.000
#> Z~~Z -13.265 -14.870 7.344 6.217 6.820 -13.171 -10.872
#> Y~~Y -10.198 -11.431 -13.587 -11.502 -12.618 -1.277 -1.054
#> Y~X -56.455 -63.286 -398.912 -337.697 -370.468 -34.524 -28.498
#> Y~Z -327.951 -367.632 -71.547 -60.568 -66.445 -37.604 -31.040
#> Y~X:Z -60.315 -67.613 -51.383 -43.498 -47.720 129.448 106.853
#> 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 8511.148
#> x1~~x1 -5.924 16015.052
#> x2~~x2 3.512 3555.650 22463.422
#> x3~~x3 5.163 4015.124 2493.849 18353.835
#> z1~~z1 -1.596 2.191 14.408 21.160 14792.790
#> z2~~z2 -1.975 51.926 -22.950 23.566 3288.160 22302.464
#> z3~~z3 8.267 13.094 42.355 18.603 3967.598 2886.194 19915.443
#> y1~~y1 -0.331 20.129 10.861 16.999 18.918 20.493 35.789
#> y2~~y2 -0.439 6.781 -18.892 29.467 3.045 10.445 -10.312
#> y3~~y3 0.345 8.647 21.479 -5.535 12.927 -6.950 0.425
#> X~~X -1.994 264.574 158.670 239.264 -9.977 -15.254 -7.027
#> X~~Z 48.918 -23.128 -50.073 -62.724 12.904 13.415 -27.462
#> Z~~Z -11.562 -13.492 4.569 8.662 265.436 188.440 237.237
#> Y~~Y -1.121 87.029 35.729 97.515 85.952 57.476 64.270
#> Y~X -30.305 -170.694 -57.209 -129.189 33.413 -16.902 6.804
#> Y~Z -33.009 -22.870 16.113 4.636 -138.012 -41.661 -143.969
#> Y~X:Z 113.630 -105.075 -100.885 -73.729 -101.606 -117.018 -141.359
#> 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 14833.469
#> y2~~y2 3729.764 23353.298
#> y3~~y3 4425.474 3353.309 18111.337
#> X~~X -3.174 0.793 5.403 3672.731
#> X~~Z 1.134 0.369 -1.840 -316.918 1819.778
#> Z~~Z -4.975 4.026 4.553 0.793 44.777 3588.693
#> Y~~Y 171.119 79.681 60.979 7.658 -0.965 8.773 760.606
#> Y~X 18.696 -9.546 11.692 119.435 36.082 -2.331 52.497
#> Y~Z -12.910 42.497 -8.474 7.341 59.588 90.464 47.771
#> Y~X:Z -25.587 14.938 54.502 120.066 54.410 111.297 109.432
#> 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 1549.786
#> Y~Z 320.363 1596.736
#> Y~X:Z -63.160 -27.082 1511.685
#>
#> $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 1.215 0.919 1.011 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 1.036 1.220 0.953 0.158 0.162 0.165 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 0.982 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 1.215 0.919 1.011 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 1.036 1.220 0.953 0.158 0.162 0.165 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 0.982 0.200 1.017 0.980 0.673 0.569 0.718
#>
#> $partable
#> lhs op rhs label group est std.error z.value p.value ci.lower ci.upper
#> 1 X =~ x1 1 1.000 NA NA NA NA NA
#> 2 X =~ x2 1 0.803 0.013 63.879 0 0.779 0.828
#> 3 X =~ x3 1 0.914 0.014 67.686 0 0.887 0.940
#> 4 Z =~ z1 1 1.000 NA NA NA NA NA
#> 5 Z =~ z2 1 0.810 0.012 65.057 0 0.786 0.835
#> 6 Z =~ z3 1 0.881 0.013 67.575 0 0.856 0.907
#> 7 Y =~ y1 1 1.000 NA NA NA NA NA
#> 8 Y =~ y2 1 0.798 0.007 107.505 0 0.784 0.813
#> 9 Y =~ y3 1 0.899 0.008 112.529 0 0.884 0.915
#> 10 Y ~ X 1 0.673 0.031 21.671 0 0.612 0.734
#> 11 Y ~ Z 1 0.569 0.030 18.713 0 0.509 0.628
#> 12 Y ~ X:Z 1 0.718 0.028 25.833 0 0.664 0.773
#> 13 x1 ~1 1 1.023 0.024 42.774 0 0.976 1.070
#> 14 x2 ~1 1 1.215 0.020 60.838 0 1.176 1.255
#> 15 x3 ~1 1 0.919 0.022 41.372 0 0.876 0.963
#> 16 z1 ~1 1 1.011 0.024 41.558 0 0.964 1.059
#> 17 z2 ~1 1 1.206 0.020 59.251 0 1.166 1.245
#> 18 z3 ~1 1 0.916 0.022 42.045 0 0.873 0.958
#> 19 y1 ~1 1 1.036 0.033 31.386 0 0.972 1.101
#> 20 y2 ~1 1 1.220 0.027 45.408 0 1.167 1.272
#> 21 y3 ~1 1 0.953 0.030 31.790 0 0.894 1.012
#> 22 x1 ~~ x1 1 0.158 0.009 18.155 0 0.141 0.175
#> 23 x2 ~~ x2 1 0.162 0.007 23.143 0 0.148 0.176
#> 24 x3 ~~ x3 1 0.165 0.008 20.739 0 0.149 0.180
#> 25 z1 ~~ z1 1 0.167 0.009 18.495 0 0.149 0.184
#> 26 z2 ~~ z2 1 0.160 0.007 22.666 0 0.146 0.173
#> 27 z3 ~~ z3 1 0.158 0.008 20.762 0 0.143 0.173
#> 28 y1 ~~ y1 1 0.160 0.009 18.004 0 0.142 0.177
#> 29 y2 ~~ y2 1 0.154 0.007 22.673 0 0.141 0.168
#> 30 y3 ~~ y3 1 0.164 0.008 20.666 0 0.148 0.179
#> 31 X ~~ X 1 0.982 0.036 27.017 0 0.911 1.053
#> 32 X ~~ Z 1 0.200 0.024 8.243 0 0.153 0.248
#> 33 Z ~~ Z 1 1.017 0.038 26.925 0 0.943 1.092
#> 34 Y ~~ Y 1 0.980 0.038 25.930 0 0.906 1.054
#>
#> $partable.input
#> lhs op rhs group mod
#> 1 X =~ x1 1
#> 2 X =~ x2 1
#> 3 X =~ x3 1
#> 4 Y =~ y1 1
#> 5 Y =~ y2 1
#> 6 Y =~ y3 1
#> 7 Z =~ z1 1
#> 8 Z =~ z2 1
#> 9 Z =~ z3 1
#> 10 Y ~ X 1
#> 11 Y ~ Z 1
#> 12 Y ~ X:Z 1
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 29
#>
#> $convergence
#> [1] TRUE
#>
#> $ovs
#> [1] "x1" "x2" "x3" "z1" "z2" "z3" "y1" "y2" "y3"
#>
#> $ngroups
#> [1] 1
#>
#> $group
#> NULL
#>
#> $group.label
#> NULL
#>
#> $lambda
#> X Z X:Z Y
#> x1 1.000 0.000 0.000 0.000
#> x2 0.803 0.000 0.000 0.000
#> x3 0.914 0.000 0.000 0.000
#> z1 0.000 1.000 0.000 0.000
#> z2 0.000 0.810 0.000 0.000
#> z3 0.000 0.881 0.000 0.000
#> y1 0.000 0.000 0.000 1.000
#> y2 0.000 0.000 0.000 0.798
#> y3 0.000 0.000 0.000 0.899
#>
#> $theta
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 0.158
#> x2 0.000 0.162
#> x3 0.000 0.000 0.165
#> 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
#>
#> $wmat
#> X Z X:Z Y
#> x1 0.000 0.000 0.000 0.000
#> x2 0.000 0.000 0.000 0.000
#> x3 0.000 0.000 0.000 0.000
#> z1 0.000 0.000 0.000 0.000
#> z2 0.000 0.000 0.000 0.000
#> z3 0.000 0.000 0.000 0.000
#> y1 0.000 0.000 0.000 0.000
#> y2 0.000 0.000 0.000 0.000
#> y3 0.000 0.000 0.000 0.000
#>
#> $tmat
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 0.000
#> x2 0.000 0.000
#> x3 0.000 0.000 0.000
#> z1 0.000 0.000 0.000 0.000
#> z2 0.000 0.000 0.000 0.000 0.000
#> z3 0.000 0.000 0.000 0.000 0.000 0.000
#> y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#>
#> $nu
#> ~1
#> x1 1.023
#> x2 1.215
#> x3 0.919
#> z1 1.011
#> z2 1.206
#> z3 0.916
#> y1 1.036
#> y2 1.220
#> y3 0.953
#>
#> $alpha
#> ~1
#> X 0.000
#> Z 0.000
#> X:Z 0.200
#> Y 0.000
#>
#> $beta
#> X Z X:Z Y
#> X 0.000 0.000 0.000 0.673
#> Z 0.000 0.000 0.000 0.569
#> X:Z 0.000 0.000 0.000 0.718
#> Y 0.000 0.000 0.000 0.000
#>
#> $psi
#> X Z X:Z Y
#> X 0.982
#> Z 0.200 1.017
#> X:Z 0.000 0.000 1.039
#> Y 0.000 0.000 0.000 0.980
#>
#> $cov.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 1.140
#> x2 0.789 0.796
#> x3 0.897 0.721 0.985
#> z1 0.200 0.161 0.183 1.184
#> z2 0.162 0.130 0.148 0.825 0.828
#> z3 0.176 0.142 0.161 0.897 0.727 0.948
#> y1 0.774 0.622 0.708 0.713 0.578 0.629 2.602
#> 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 0.565 2.196 1.753 2.139
#>
#> $cov.lv
#> X Z X:Z Y
#> X 0.982
#> Z 0.200 1.017
#> X:Z 0.000 0.000 1.039
#> Y 0.774 0.713 0.746 2.442
#>
#> $cov.all
#> X Z X:Z Y x1 x2 x3 z1 z2 z3 y1 y2
#> X 0.982
#> Z 0.200 1.017
#> X:Z 0.000 0.000 1.039
#> Y 0.774 0.713 0.746 2.442
#> x1 0.982 0.200 0.000 0.774 1.140
#> x2 0.789 0.161 0.000 0.622 0.789 0.796
#> x3 0.897 0.183 0.000 0.708 0.897 0.721 0.985
#> z1 0.200 1.017 0.000 0.713 0.200 0.161 0.183 1.184
#> z2 0.162 0.825 0.000 0.578 0.162 0.130 0.148 0.825 0.828
#> z3 0.176 0.897 0.000 0.629 0.176 0.142 0.161 0.897 0.727 0.948
#> y1 0.774 0.713 0.746 2.442 0.774 0.622 0.708 0.713 0.578 0.629 2.602
#> y2 0.618 0.570 0.596 1.950 0.618 0.497 0.565 0.570 0.462 0.502 1.950 1.711
#> y3 0.696 0.642 0.671 2.196 0.696 0.560 0.636 0.642 0.520 0.565 2.196 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 0.166 0.169 1.000
#> z2 0.167 0.161 0.164 0.833 1.000
#> z3 0.170 0.163 0.167 0.846 0.820 1.000
#> y1 0.450 0.432 0.442 0.406 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 0.456 0.847 0.814 1.000
#> z1 0.186 0.927 0.000 0.419 0.172 0.166 0.169 1.000
#> z2 0.180 0.898 0.000 0.407 0.167 0.161 0.164 0.833 1.000
#> z3 0.183 0.913 0.000 0.413 0.170 0.163 0.167 0.846 0.820 1.000
#> y1 0.484 0.438 0.454 0.969 0.450 0.432 0.442 0.406 0.394 0.400 1.000
#> y2 0.477 0.432 0.447 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 1.215
#> x3 0.919
#> z1 1.011
#> z2 1.206
#> z3 0.916
#> y1 1.180
#> y2 1.334
#> y3 1.082
#>
#> $mean.all
#> ~1
#> X 0.000
#> Z 0.000
#> X:Z 0.200
#> Y 0.144
#> x1 1.023
#> x2 1.215
#> x3 0.919
#> z1 1.011
#> z2 1.206
#> z3 0.916
#> y1 1.180
#> y2 1.334
#> y3 1.082
#>
#> $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
#>
#> $iteration.history
#> iteration mode loglik abs.change rel.change elapsed.time
#> 1 1 EM -17493.94 Inf Inf 0.014
#> 2 2 EM -17493.73 2.118733e-01 1.211124e-05 0.023
#> 3 3 EM -17493.68 4.938506e-02 2.823015e-06 0.039
#> 4 4 EM -17493.67 1.268418e-02 7.250719e-07 0.048
#> 5 5 EM -17493.66 9.367184e-03 5.354614e-07 0.058
#> 6 6 EM -17493.65 7.488112e-03 4.280472e-07 0.074
#> 7 7 EM -17493.65 6.004195e-03 3.432214e-07 0.084
#> 8 8 EM -17493.64 4.690767e-03 2.681412e-07 0.101
#> 9 9 EM -17493.64 3.793854e-03 2.168705e-07 0.118
#> 10 10 EM -17493.63 3.157622e-03 1.805011e-07 0.128
#> 11 11 EM -17493.63 2.741601e-03 1.567199e-07 0.138
#> 12 12 EM -17493.63 2.421743e-03 1.384357e-07 0.154
#> 13 13 EM -17493.63 2.174710e-03 1.243144e-07 0.164
#> 14 14 QN -17493.62 9.586771e-03 5.480151e-07 0.192
#> 15 15 EM -17493.61 3.147589e-03 1.799279e-07 0.208
#> 16 16 EM -17493.61 2.282860e-03 1.304968e-07 0.218
#> 17 17 EM -17493.61 1.176377e-03 6.724608e-08 0.228
#> 18 18 EM -17493.61 2.458545e-03 1.405396e-07 0.245
#> 19 19 EM -17493.61 1.850453e-03 1.057788e-07 0.254
#> 20 20 EM -17493.60 1.100100e-03 6.288585e-08 0.265
#> 21 21 EM -17493.60 7.472259e-04 4.271423e-08 0.287
#> 22 22 EM -17493.60 1.373408e-03 7.850914e-08 0.300
#> 23 23 EM -17493.60 8.674911e-04 4.958905e-08 0.310
#> 24 24 EM -17493.60 5.515758e-04 3.153014e-08 0.327
#> 25 25 EM -17493.60 1.962711e-04 1.121959e-08 0.337
#> 26 26 EM -17493.60 9.222457e-05 5.271903e-09 0.347
#> 27 27 QN -17493.60 5.352385e-04 3.059624e-08 0.404
#> 28 28 QN -17493.60 3.023197e-07 1.728173e-11 0.423
#> 29 29 EM -17493.60 1.760709e-07 1.006487e-11 0.433
#> expected.remaining.iterations expected.final.loglik
#> 1 NA NA
#> 2 NA NA
#> 3 NA NA
#> 4 4 -17493.66
#> 5 4 -17493.66
#> 6 5 -17493.65
#> 7 6 -17493.64
#> 8 6 -17493.64
#> 9 7 -17493.63
#> 10 7 -17493.63
#> 11 7 -17493.63
#> 12 11 -17493.62
#> 13 15 -17493.62
#> 14 38 -17493.58
#> 15 58 -17493.56
#> 16 69 -17493.55
#> 17 42 -17493.58
#> 18 54 -17493.57
#> 19 49 -17493.57
#> 20 28 -17493.59
#> 21 16 -17493.60
#> 22 14 -17493.60
#> 23 10 -17493.60
#> 24 13 -17493.60
#> 25 7 -17493.60
#> 26 0 -17493.60
#> 27 3 -17493.60
#> 28 0 -17493.60
#> 29 0 -17493.60
#>
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 1.215 0.919 1.011 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 1.036 1.220 0.953 0.158 0.162 0.165 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 0.982 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 8937.656
#> X=~x3 -2765.261 8143.172
#> Z=~z2 63.670 74.625 9237.059
#> Z=~z3 72.658 81.858 -3031.342 8774.520
#> Y=~y2 -169.929 -194.537 -158.773 -172.226 23796.517
#> Y=~y3 -176.970 -205.721 -169.835 -183.105 -8378.334 20996.164
#> x1~1 32.924 34.497 92.190 97.631 -121.932 -132.413 8008.812
#> x2~1 26.214 27.041 72.265 76.530 -95.579 -103.794 -3632.904
#> x3~1 28.931 30.713 81.008 85.790 -107.143 -116.353 -4072.472
#> z1~1 90.687 98.941 24.188 28.934 -126.420 -133.304 53.766
#> z2~1 76.771 83.758 21.124 24.494 -107.020 -112.848 45.516
#> z3~1 84.221 91.886 22.464 27.525 -117.405 -123.799 49.933
#> y1~1 -23.821 -26.857 -24.063 -28.575 -592.265 -629.957 -175.980
#> y2~1 -19.663 -22.169 -19.863 -23.588 1375.007 -519.996 -145.262
#> y3~1 -20.910 -23.575 -21.122 -25.084 -519.892 1206.740 -154.476
#> x1~~x1 -1393.744 -1480.829 17.212 27.753 -10.436 -11.276 17.897
#> x2~~x2 2729.012 -912.778 25.858 15.801 -6.263 -14.452 -12.877
#> x3~~x3 -1032.241 2753.198 14.433 17.586 14.611 22.604 -2.790
#> z1~~z1 12.158 13.079 -1310.349 -1439.357 14.600 13.801 38.945
#> z2~~z2 33.193 27.775 2862.411 -1038.155 -2.934 0.291 12.441
#> z3~~z3 24.304 33.477 -1120.906 2990.204 -14.418 -17.530 34.489
#> y1~~y1 1.157 0.694 7.158 5.855 -1488.330 -1620.477 2.730
#> y2~~y2 3.599 -5.544 -12.301 -9.385 3075.827 -1162.798 -11.063
#> y3~~y3 -16.483 -12.622 -8.459 -10.858 -1244.505 2873.174 2.593
#> X~~X 1121.362 1249.865 -50.680 -57.633 62.634 65.787 -9.516
#> X~~Z -118.605 -132.991 111.861 130.547 32.052 34.495 -51.829
#> Z~~Z -25.902 -29.561 1158.252 1268.774 48.972 52.078 -16.922
#> Y~~Y -29.989 -43.089 -32.820 -35.125 551.357 591.625 -13.009
#> Y~X -290.138 -314.929 -39.918 -48.667 435.300 458.820 -72.021
#> Y~Z -64.154 -69.107 -275.672 -285.573 396.688 432.129 -418.375
#> Y~X:Z -291.880 -336.746 -317.374 -348.077 418.247 437.936 -76.945
#> 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 9487.120
#> x3~1 -3192.281 8577.408
#> z1~1 42.146 47.245 7692.248
#> z2~1 35.678 39.995 -3640.287 9446.380
#> z3~1 39.141 43.877 -3993.547 -3380.722 8931.022
#> y1~1 -137.945 -154.636 -144.365 -122.211 -134.071 7702.713
#> y2~1 -113.867 -127.644 -119.165 -100.879 -110.668 -3983.888 9665.535
#> y3~1 -121.089 -135.740 -126.724 -107.277 -117.688 -4236.571 -3497.066
#> x1~~x1 13.958 15.647 49.551 41.948 46.018 -6.749 -5.571
#> x2~~x2 -10.023 -11.316 13.115 11.102 12.179 4.000 3.302
#> x3~~x3 -2.187 -2.371 31.581 26.735 29.329 5.882 4.855
#> z1~~z1 30.528 34.222 -7.484 -6.413 -7.036 -1.818 -1.501
#> z2~~z2 9.752 10.932 5.839 5.020 5.422 -2.251 -1.858
#> z3~~z3 27.035 30.306 -6.332 -5.360 -5.795 9.417 7.773
#> y1~~y1 2.140 2.399 -4.833 -4.092 -4.489 -0.166 -0.311
#> y2~~y2 -8.672 -9.721 2.668 2.258 2.477 -0.500 -0.302
#> y3~~y3 2.033 2.279 -3.217 -2.724 -2.988 0.128 0.105
#> X~~X -7.459 -8.362 -30.999 -26.242 -28.789 -2.271 -1.875
#> X~~Z -40.627 -45.543 -39.312 -33.279 -36.509 55.728 46.000
#> Z~~Z -13.265 -14.870 7.344 6.217 6.820 -13.171 -10.872
#> Y~~Y -10.198 -11.431 -13.587 -11.502 -12.618 -1.277 -1.054
#> Y~X -56.455 -63.286 -398.912 -337.697 -370.468 -34.524 -28.498
#> Y~Z -327.951 -367.632 -71.547 -60.568 -66.445 -37.604 -31.040
#> Y~X:Z -60.315 -67.613 -51.383 -43.498 -47.720 129.448 106.853
#> 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 8511.148
#> x1~~x1 -5.924 16015.052
#> x2~~x2 3.512 3555.650 22463.422
#> x3~~x3 5.163 4015.124 2493.849 18353.835
#> z1~~z1 -1.596 2.191 14.408 21.160 14792.790
#> z2~~z2 -1.975 51.926 -22.950 23.566 3288.160 22302.464
#> z3~~z3 8.267 13.094 42.355 18.603 3967.598 2886.194 19915.443
#> y1~~y1 -0.331 20.129 10.861 16.999 18.918 20.493 35.789
#> y2~~y2 -0.439 6.781 -18.892 29.467 3.045 10.445 -10.312
#> y3~~y3 0.345 8.647 21.479 -5.535 12.927 -6.950 0.425
#> X~~X -1.994 264.574 158.670 239.264 -9.977 -15.254 -7.027
#> X~~Z 48.918 -23.128 -50.073 -62.724 12.904 13.415 -27.462
#> Z~~Z -11.562 -13.492 4.569 8.662 265.436 188.440 237.237
#> Y~~Y -1.121 87.029 35.729 97.515 85.952 57.476 64.270
#> Y~X -30.305 -170.694 -57.209 -129.189 33.413 -16.902 6.804
#> Y~Z -33.009 -22.870 16.113 4.636 -138.012 -41.661 -143.969
#> Y~X:Z 113.630 -105.075 -100.885 -73.729 -101.606 -117.018 -141.359
#> 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 14833.469
#> y2~~y2 3729.764 23353.298
#> y3~~y3 4425.474 3353.309 18111.337
#> X~~X -3.174 0.793 5.403 3672.731
#> X~~Z 1.134 0.369 -1.840 -316.918 1819.778
#> Z~~Z -4.975 4.026 4.553 0.793 44.777 3588.693
#> Y~~Y 171.119 79.681 60.979 7.658 -0.965 8.773 760.606
#> Y~X 18.696 -9.546 11.692 119.435 36.082 -2.331 52.497
#> Y~Z -12.910 42.497 -8.474 7.341 59.588 90.464 47.771
#> Y~X:Z -25.587 14.938 54.502 120.066 54.410 111.297 109.432
#> 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 1549.786
#> Y~Z 320.363 1596.736
#> Y~X:Z -63.160 -27.082 1511.685
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 29
#>
#> $convergence
#> [1] TRUE
#>
#> $iteration.history
#> iteration mode loglik abs.change rel.change elapsed.time
#> 1 1 EM -17493.94 Inf Inf 0.014
#> 2 2 EM -17493.73 2.118733e-01 1.211124e-05 0.023
#> 3 3 EM -17493.68 4.938506e-02 2.823015e-06 0.039
#> 4 4 EM -17493.67 1.268418e-02 7.250719e-07 0.048
#> 5 5 EM -17493.66 9.367184e-03 5.354614e-07 0.058
#> 6 6 EM -17493.65 7.488112e-03 4.280472e-07 0.074
#> 7 7 EM -17493.65 6.004195e-03 3.432214e-07 0.084
#> 8 8 EM -17493.64 4.690767e-03 2.681412e-07 0.101
#> 9 9 EM -17493.64 3.793854e-03 2.168705e-07 0.118
#> 10 10 EM -17493.63 3.157622e-03 1.805011e-07 0.128
#> 11 11 EM -17493.63 2.741601e-03 1.567199e-07 0.138
#> 12 12 EM -17493.63 2.421743e-03 1.384357e-07 0.154
#> 13 13 EM -17493.63 2.174710e-03 1.243144e-07 0.164
#> 14 14 QN -17493.62 9.586771e-03 5.480151e-07 0.192
#> 15 15 EM -17493.61 3.147589e-03 1.799279e-07 0.208
#> 16 16 EM -17493.61 2.282860e-03 1.304968e-07 0.218
#> 17 17 EM -17493.61 1.176377e-03 6.724608e-08 0.228
#> 18 18 EM -17493.61 2.458545e-03 1.405396e-07 0.245
#> 19 19 EM -17493.61 1.850453e-03 1.057788e-07 0.254
#> 20 20 EM -17493.60 1.100100e-03 6.288585e-08 0.265
#> 21 21 EM -17493.60 7.472259e-04 4.271423e-08 0.287
#> 22 22 EM -17493.60 1.373408e-03 7.850914e-08 0.300
#> 23 23 EM -17493.60 8.674911e-04 4.958905e-08 0.310
#> 24 24 EM -17493.60 5.515758e-04 3.153014e-08 0.327
#> 25 25 EM -17493.60 1.962711e-04 1.121959e-08 0.337
#> 26 26 EM -17493.60 9.222457e-05 5.271903e-09 0.347
#> 27 27 QN -17493.60 5.352385e-04 3.059624e-08 0.404
#> 28 28 QN -17493.60 3.023197e-07 1.728173e-11 0.423
#> 29 29 EM -17493.60 1.760709e-07 1.006487e-11 0.433
#> expected.remaining.iterations expected.final.loglik
#> 1 NA NA
#> 2 NA NA
#> 3 NA NA
#> 4 4 -17493.66
#> 5 4 -17493.66
#> 6 5 -17493.65
#> 7 6 -17493.64
#> 8 6 -17493.64
#> 9 7 -17493.63
#> 10 7 -17493.63
#> 11 7 -17493.63
#> 12 11 -17493.62
#> 13 15 -17493.62
#> 14 38 -17493.58
#> 15 58 -17493.56
#> 16 69 -17493.55
#> 17 42 -17493.58
#> 18 54 -17493.57
#> 19 49 -17493.57
#> 20 28 -17493.59
#> 21 16 -17493.60
#> 22 14 -17493.60
#> 23 10 -17493.60
#> 24 13 -17493.60
#> 25 7 -17493.60
#> 26 0 -17493.60
#> 27 3 -17493.60
#> 28 0 -17493.60
#> 29 0 -17493.60
#>
modsem_inspect(est, what = "matrices")
#> $lambda
#> X Z X:Z Y
#> x1 1.000 0.000 0.000 0.000
#> x2 0.803 0.000 0.000 0.000
#> x3 0.914 0.000 0.000 0.000
#> z1 0.000 1.000 0.000 0.000
#> z2 0.000 0.810 0.000 0.000
#> z3 0.000 0.881 0.000 0.000
#> y1 0.000 0.000 0.000 1.000
#> y2 0.000 0.000 0.000 0.798
#> y3 0.000 0.000 0.000 0.899
#>
#> $theta
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 0.158
#> x2 0.000 0.162
#> x3 0.000 0.000 0.165
#> 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
#>
#> $wmat
#> X Z X:Z Y
#> x1 0.000 0.000 0.000 0.000
#> x2 0.000 0.000 0.000 0.000
#> x3 0.000 0.000 0.000 0.000
#> z1 0.000 0.000 0.000 0.000
#> z2 0.000 0.000 0.000 0.000
#> z3 0.000 0.000 0.000 0.000
#> y1 0.000 0.000 0.000 0.000
#> y2 0.000 0.000 0.000 0.000
#> y3 0.000 0.000 0.000 0.000
#>
#> $tmat
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 0.000
#> x2 0.000 0.000
#> x3 0.000 0.000 0.000
#> z1 0.000 0.000 0.000 0.000
#> z2 0.000 0.000 0.000 0.000 0.000
#> z3 0.000 0.000 0.000 0.000 0.000 0.000
#> y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#>
#> $psi
#> X Z X:Z Y
#> X 0.982
#> Z 0.200 1.017
#> X:Z 0.000 0.000 1.039
#> Y 0.000 0.000 0.000 0.980
#>
#> $beta
#> X Z X:Z Y
#> X 0.000 0.000 0.000 0.673
#> Z 0.000 0.000 0.000 0.569
#> X:Z 0.000 0.000 0.000 0.718
#> Y 0.000 0.000 0.000 0.000
#>
#> $nu
#> ~1
#> x1 1.023
#> x2 1.215
#> x3 0.919
#> z1 1.011
#> z2 1.206
#> z3 0.916
#> y1 1.036
#> y2 1.220
#> y3 0.953
#>
#> $alpha
#> ~1
#> X 0.000
#> Z 0.000
#> X:Z 0.200
#> Y 0.000
#>
# }