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 9231.293
#> Z=~z3 72.658 81.858 -3031.955 8768.517
#> Y=~y2 -169.929 -194.537 -158.852 -172.301 23780.146
#> Y=~y3 -176.970 -205.721 -169.906 -183.172 -8379.659 20980.810
#> 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 24.677 29.466 -126.449 -133.326 53.766
#> z2~1 76.771 83.758 19.862 24.949 -107.045 -112.867 45.516
#> z3~1 84.221 91.886 22.880 26.440 -117.433 -123.819 49.933
#> y1~1 -23.821 -26.857 -24.069 -28.580 -591.811 -629.432 -175.980
#> y2~1 -19.663 -22.169 -19.868 -23.591 1373.292 -519.577 -145.262
#> y3~1 -20.910 -23.575 -21.128 -25.088 -519.572 1205.367 -154.476
#> x1~~x1 -1393.744 -1480.829 17.212 27.753 -10.436 -11.276 2.771
#> x2~~x2 2715.180 -912.778 25.858 15.801 -6.263 -14.452 -12.877
#> x3~~x3 -1032.241 2739.765 14.433 17.586 14.611 22.604 -2.790
#> z1~~z1 12.158 13.079 -1307.917 -1436.710 14.572 13.774 38.945
#> z2~~z2 33.193 27.775 2844.063 -1035.582 -2.935 0.283 12.441
#> z3~~z3 24.304 33.477 -1118.298 2972.619 -14.399 -17.505 34.489
#> y1~~y1 1.157 0.694 7.151 5.850 -1487.746 -1619.906 2.730
#> y2~~y2 3.599 -5.544 -12.280 -9.370 3043.229 -1161.497 -11.063
#> y3~~y3 -16.483 -12.622 -8.448 -10.843 -1243.544 2847.123 2.593
#> X~~X 1129.559 1258.440 -50.793 -57.737 62.748 65.865 -9.516
#> X~~Z -118.605 -132.991 111.903 130.584 32.057 34.500 -51.829
#> Z~~Z -25.902 -29.561 1157.925 1268.336 48.954 52.054 -16.922
#> Y~~Y -29.989 -43.089 -32.829 -35.134 551.233 591.444 -13.009
#> Y~X -290.138 -314.929 -39.920 -48.664 435.415 458.911 -72.021
#> Y~Z -64.154 -69.107 -275.882 -285.789 396.789 432.201 -418.375
#> Y~X:Z -291.880 -336.746 -317.576 -348.275 418.320 437.984 -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 -27.131 -11.316 13.115 11.102 12.179 4.000 3.302
#> x3~~x3 -2.187 -16.041 31.581 26.735 29.329 5.882 4.855
#> z1~~z1 30.528 34.222 -13.029 -7.881 -8.501 -1.820 -1.502
#> z2~~z2 9.752 10.932 4.592 -4.986 4.358 -2.248 -1.855
#> z3~~z3 27.035 30.306 -7.817 -6.629 -13.195 9.402 7.761
#> y1~~y1 2.140 2.399 -4.836 -4.094 -4.491 -5.875 -2.092
#> y2~~y2 -8.672 -9.721 2.657 2.250 2.468 -2.014 -10.868
#> y3~~y3 2.033 2.279 -3.219 -2.725 -2.989 -1.583 -1.266
#> X~~X -7.459 -8.362 -31.051 -26.286 -28.840 -2.286 -1.887
#> X~~Z -40.627 -45.543 -39.312 -33.279 -36.509 55.728 46.000
#> Z~~Z -13.265 -14.870 7.245 6.132 6.736 -13.171 -10.872
#> Y~~Y -10.198 -11.431 -13.619 -11.529 -12.645 -1.330 -1.097
#> Y~X -56.455 -63.286 -398.912 -337.697 -370.468 -34.524 -28.498
#> Y~Z -327.951 -367.632 -71.494 -60.523 -66.400 -37.611 -31.046
#> Y~X:Z -60.315 -67.613 -51.317 -43.442 -47.662 129.434 106.841
#> 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 15643.705
#> x2~~x2 3.512 3555.650 22118.546
#> x3~~x3 5.163 4015.124 2493.849 18023.716
#> z1~~z1 -1.597 2.191 14.408 21.160 14708.326
#> z2~~z2 -1.973 51.926 -22.950 23.566 3267.436 22146.756
#> z3~~z3 8.254 13.094 42.355 18.603 3943.396 2866.873 19783.831
#> y1~~y1 -1.982 20.129 10.861 16.999 18.819 20.388 35.634
#> y2~~y2 -1.564 6.781 -18.892 29.467 3.001 10.380 -10.310
#> y3~~y3 -6.373 8.647 21.479 -5.535 12.848 -6.954 0.390
#> X~~X -2.006 249.774 149.577 227.837 -9.813 -14.998 -6.751
#> X~~Z 48.918 -23.128 -50.073 -62.724 12.844 13.356 -27.462
#> Z~~Z -11.562 -13.492 4.569 8.662 264.368 187.558 236.196
#> Y~~Y -1.161 87.029 35.729 97.515 85.627 57.211 63.974
#> Y~X -30.305 -170.694 -57.209 -129.189 33.313 -16.892 6.769
#> Y~Z -33.015 -22.870 16.113 4.636 -137.724 -41.502 -143.618
#> Y~X:Z 113.618 -105.075 -100.885 -73.729 -101.326 -116.689 -140.970
#> 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 14748.799
#> y2~~y2 3705.270 23186.622
#> y3~~y3 4398.969 3331.958 17997.339
#> X~~X -3.198 0.763 5.289 3672.439
#> X~~Z 1.133 0.373 -1.842 -316.912 1819.778
#> Z~~Z -4.966 4.014 4.545 0.771 44.096 3582.598
#> Y~~Y 170.549 79.296 60.635 7.365 -0.966 8.764 759.471
#> Y~X 18.639 -9.551 11.646 120.397 36.082 -2.336 52.218
#> Y~Z -12.953 42.370 -8.503 7.227 59.596 90.476 47.454
#> Y~X:Z -25.593 14.881 54.366 120.898 54.431 111.287 109.120
#> 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 320.341 1596.622
#> Y~X:Z -63.236 -27.204 1511.324
#>
#> $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 63.750 0 0.779 0.828
#> 3 X =~ x3 1 0.914 0.014 67.510 0 0.887 0.940
#> 4 Z =~ z1 1 1.000 NA NA NA NA NA
#> 5 Z =~ z2 1 0.810 0.012 65.018 0 0.786 0.835
#> 6 Z =~ z3 1 0.881 0.013 67.533 0 0.856 0.907
#> 7 Y =~ y1 1 1.000 NA NA NA NA NA
#> 8 Y =~ y2 1 0.798 0.007 107.451 0 0.784 0.813
#> 9 Y =~ y3 1 0.899 0.008 112.470 0 0.884 0.915
#> 10 Y ~ X 1 0.673 0.031 21.667 0 0.612 0.734
#> 11 Y ~ Z 1 0.569 0.030 18.711 0 0.509 0.628
#> 12 Y ~ X:Z 1 0.718 0.028 25.821 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 41.371 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 45.409 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 17.883 0 0.141 0.176
#> 23 x2 ~~ x2 1 0.162 0.007 22.937 0 0.148 0.176
#> 24 x3 ~~ x3 1 0.165 0.008 20.507 0 0.149 0.180
#> 25 z1 ~~ z1 1 0.167 0.009 18.441 0 0.149 0.184
#> 26 z2 ~~ z2 1 0.160 0.007 22.589 0 0.146 0.173
#> 27 z3 ~~ z3 1 0.158 0.008 20.696 0 0.143 0.173
#> 28 y1 ~~ y1 1 0.160 0.009 17.952 0 0.142 0.177
#> 29 y2 ~~ y2 1 0.154 0.007 22.595 0 0.141 0.168
#> 30 y3 ~~ y3 1 0.164 0.008 20.603 0 0.148 0.179
#> 31 X ~~ X 1 0.982 0.036 26.970 0 0.911 1.053
#> 32 X ~~ Z 1 0.200 0.024 8.242 0 0.153 0.248
#> 33 Z ~~ Z 1 1.017 0.038 26.895 0 0.943 1.092
#> 34 Y ~~ Y 1 0.980 0.038 25.909 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 0.024
#> 2 2 EM -17493.73 2.118733e-01 1.211124e-05 0.035
#> 3 3 EM -17493.68 4.938506e-02 2.823015e-06 0.053
#> 4 4 EM -17493.67 1.268418e-02 7.250719e-07 0.061
#> 5 5 EM -17493.66 9.367184e-03 5.354614e-07 0.069
#> 6 6 EM -17493.65 7.488112e-03 4.280472e-07 0.095
#> 7 7 EM -17493.65 6.004195e-03 3.432214e-07 0.105
#> 8 8 EM -17493.64 4.690767e-03 2.681412e-07 0.113
#> 9 9 EM -17493.64 3.793854e-03 2.168705e-07 0.126
#> 10 10 EM -17493.63 3.157622e-03 1.805011e-07 0.134
#> 11 11 EM -17493.63 2.741601e-03 1.567199e-07 0.142
#> 12 12 EM -17493.63 2.421743e-03 1.384357e-07 0.161
#> 13 13 EM -17493.63 2.174710e-03 1.243144e-07 0.170
#> 14 14 QN -17493.62 9.586771e-03 5.480151e-07 0.196
#> 15 15 EM -17493.61 3.147589e-03 1.799279e-07 0.210
#> 16 16 EM -17493.61 2.282860e-03 1.304968e-07 0.221
#> 17 17 EM -17493.61 1.176377e-03 6.724608e-08 0.234
#> 18 18 EM -17493.61 2.458545e-03 1.405396e-07 0.250
#> 19 19 EM -17493.61 1.850453e-03 1.057788e-07 0.259
#> 20 20 EM -17493.60 1.100100e-03 6.288585e-08 0.267
#> 21 21 EM -17493.60 7.472259e-04 4.271423e-08 0.286
#> 22 22 EM -17493.60 1.373408e-03 7.850914e-08 0.296
#> 23 23 EM -17493.60 8.674911e-04 4.958905e-08 0.304
#> 24 24 EM -17493.60 5.515758e-04 3.153015e-08 0.318
#> 25 25 EM -17493.60 1.962711e-04 1.121959e-08 0.327
#> 26 26 EM -17493.60 9.222457e-05 5.271903e-09 0.335
#> 27 27 QN -17493.60 5.352385e-04 3.059624e-08 0.393
#> 28 28 QN -17493.60 3.023197e-07 1.728173e-11 0.411
#> 29 29 EM -17493.60 1.760745e-07 1.006508e-11 0.420
#> 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 9231.293
#> Z=~z3 72.658 81.858 -3031.955 8768.517
#> Y=~y2 -169.929 -194.537 -158.852 -172.301 23780.146
#> Y=~y3 -176.970 -205.721 -169.906 -183.172 -8379.659 20980.810
#> 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 24.677 29.466 -126.449 -133.326 53.766
#> z2~1 76.771 83.758 19.862 24.949 -107.045 -112.867 45.516
#> z3~1 84.221 91.886 22.880 26.440 -117.433 -123.819 49.933
#> y1~1 -23.821 -26.857 -24.069 -28.580 -591.811 -629.432 -175.980
#> y2~1 -19.663 -22.169 -19.868 -23.591 1373.292 -519.577 -145.262
#> y3~1 -20.910 -23.575 -21.128 -25.088 -519.572 1205.367 -154.476
#> x1~~x1 -1393.744 -1480.829 17.212 27.753 -10.436 -11.276 2.771
#> x2~~x2 2715.180 -912.778 25.858 15.801 -6.263 -14.452 -12.877
#> x3~~x3 -1032.241 2739.765 14.433 17.586 14.611 22.604 -2.790
#> z1~~z1 12.158 13.079 -1307.917 -1436.710 14.572 13.774 38.945
#> z2~~z2 33.193 27.775 2844.063 -1035.582 -2.935 0.283 12.441
#> z3~~z3 24.304 33.477 -1118.298 2972.619 -14.399 -17.505 34.489
#> y1~~y1 1.157 0.694 7.151 5.850 -1487.746 -1619.906 2.730
#> y2~~y2 3.599 -5.544 -12.280 -9.370 3043.229 -1161.497 -11.063
#> y3~~y3 -16.483 -12.622 -8.448 -10.843 -1243.544 2847.123 2.593
#> X~~X 1129.559 1258.440 -50.793 -57.737 62.748 65.865 -9.516
#> X~~Z -118.605 -132.991 111.903 130.584 32.057 34.500 -51.829
#> Z~~Z -25.902 -29.561 1157.925 1268.336 48.954 52.054 -16.922
#> Y~~Y -29.989 -43.089 -32.829 -35.134 551.233 591.444 -13.009
#> Y~X -290.138 -314.929 -39.920 -48.664 435.415 458.911 -72.021
#> Y~Z -64.154 -69.107 -275.882 -285.789 396.789 432.201 -418.375
#> Y~X:Z -291.880 -336.746 -317.576 -348.275 418.320 437.984 -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 -27.131 -11.316 13.115 11.102 12.179 4.000 3.302
#> x3~~x3 -2.187 -16.041 31.581 26.735 29.329 5.882 4.855
#> z1~~z1 30.528 34.222 -13.029 -7.881 -8.501 -1.820 -1.502
#> z2~~z2 9.752 10.932 4.592 -4.986 4.358 -2.248 -1.855
#> z3~~z3 27.035 30.306 -7.817 -6.629 -13.195 9.402 7.761
#> y1~~y1 2.140 2.399 -4.836 -4.094 -4.491 -5.875 -2.092
#> y2~~y2 -8.672 -9.721 2.657 2.250 2.468 -2.014 -10.868
#> y3~~y3 2.033 2.279 -3.219 -2.725 -2.989 -1.583 -1.266
#> X~~X -7.459 -8.362 -31.051 -26.286 -28.840 -2.286 -1.887
#> X~~Z -40.627 -45.543 -39.312 -33.279 -36.509 55.728 46.000
#> Z~~Z -13.265 -14.870 7.245 6.132 6.736 -13.171 -10.872
#> Y~~Y -10.198 -11.431 -13.619 -11.529 -12.645 -1.330 -1.097
#> Y~X -56.455 -63.286 -398.912 -337.697 -370.468 -34.524 -28.498
#> Y~Z -327.951 -367.632 -71.494 -60.523 -66.400 -37.611 -31.046
#> Y~X:Z -60.315 -67.613 -51.317 -43.442 -47.662 129.434 106.841
#> 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 15643.705
#> x2~~x2 3.512 3555.650 22118.546
#> x3~~x3 5.163 4015.124 2493.849 18023.716
#> z1~~z1 -1.597 2.191 14.408 21.160 14708.326
#> z2~~z2 -1.973 51.926 -22.950 23.566 3267.436 22146.756
#> z3~~z3 8.254 13.094 42.355 18.603 3943.396 2866.873 19783.831
#> y1~~y1 -1.982 20.129 10.861 16.999 18.819 20.388 35.634
#> y2~~y2 -1.564 6.781 -18.892 29.467 3.001 10.380 -10.310
#> y3~~y3 -6.373 8.647 21.479 -5.535 12.848 -6.954 0.390
#> X~~X -2.006 249.774 149.577 227.837 -9.813 -14.998 -6.751
#> X~~Z 48.918 -23.128 -50.073 -62.724 12.844 13.356 -27.462
#> Z~~Z -11.562 -13.492 4.569 8.662 264.368 187.558 236.196
#> Y~~Y -1.161 87.029 35.729 97.515 85.627 57.211 63.974
#> Y~X -30.305 -170.694 -57.209 -129.189 33.313 -16.892 6.769
#> Y~Z -33.015 -22.870 16.113 4.636 -137.724 -41.502 -143.618
#> Y~X:Z 113.618 -105.075 -100.885 -73.729 -101.326 -116.689 -140.970
#> 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 14748.799
#> y2~~y2 3705.270 23186.622
#> y3~~y3 4398.969 3331.958 17997.339
#> X~~X -3.198 0.763 5.289 3672.439
#> X~~Z 1.133 0.373 -1.842 -316.912 1819.778
#> Z~~Z -4.966 4.014 4.545 0.771 44.096 3582.598
#> Y~~Y 170.549 79.296 60.635 7.365 -0.966 8.764 759.471
#> Y~X 18.639 -9.551 11.646 120.397 36.082 -2.336 52.218
#> Y~Z -12.953 42.370 -8.503 7.227 59.596 90.476 47.454
#> Y~X:Z -25.593 14.881 54.366 120.898 54.431 111.287 109.120
#> 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 320.341 1596.622
#> Y~X:Z -63.236 -27.204 1511.324
#>
#> $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 0.024
#> 2 2 EM -17493.73 2.118733e-01 1.211124e-05 0.035
#> 3 3 EM -17493.68 4.938506e-02 2.823015e-06 0.053
#> 4 4 EM -17493.67 1.268418e-02 7.250719e-07 0.061
#> 5 5 EM -17493.66 9.367184e-03 5.354614e-07 0.069
#> 6 6 EM -17493.65 7.488112e-03 4.280472e-07 0.095
#> 7 7 EM -17493.65 6.004195e-03 3.432214e-07 0.105
#> 8 8 EM -17493.64 4.690767e-03 2.681412e-07 0.113
#> 9 9 EM -17493.64 3.793854e-03 2.168705e-07 0.126
#> 10 10 EM -17493.63 3.157622e-03 1.805011e-07 0.134
#> 11 11 EM -17493.63 2.741601e-03 1.567199e-07 0.142
#> 12 12 EM -17493.63 2.421743e-03 1.384357e-07 0.161
#> 13 13 EM -17493.63 2.174710e-03 1.243144e-07 0.170
#> 14 14 QN -17493.62 9.586771e-03 5.480151e-07 0.196
#> 15 15 EM -17493.61 3.147589e-03 1.799279e-07 0.210
#> 16 16 EM -17493.61 2.282860e-03 1.304968e-07 0.221
#> 17 17 EM -17493.61 1.176377e-03 6.724608e-08 0.234
#> 18 18 EM -17493.61 2.458545e-03 1.405396e-07 0.250
#> 19 19 EM -17493.61 1.850453e-03 1.057788e-07 0.259
#> 20 20 EM -17493.60 1.100100e-03 6.288585e-08 0.267
#> 21 21 EM -17493.60 7.472259e-04 4.271423e-08 0.286
#> 22 22 EM -17493.60 1.373408e-03 7.850914e-08 0.296
#> 23 23 EM -17493.60 8.674911e-04 4.958905e-08 0.304
#> 24 24 EM -17493.60 5.515758e-04 3.153015e-08 0.318
#> 25 25 EM -17493.60 1.962711e-04 1.121959e-08 0.327
#> 26 26 EM -17493.60 9.222457e-05 5.271903e-09 0.335
#> 27 27 QN -17493.60 5.352385e-04 3.059624e-08 0.393
#> 28 28 QN -17493.60 3.023197e-07 1.728173e-11 0.411
#> 29 29 EM -17493.60 1.760745e-07 1.006508e-11 0.420
#> 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
#>
# }