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).
"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.
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 8937.701
#> X=~x3 -2765.304 8143.224
#> Z=~z2 63.681 74.638 9236.244
#> Z=~z3 72.672 81.875 -3032.256 8773.933
#> Y=~y2 -169.928 -194.537 -158.897 -172.354 23795.065
#> Y=~y3 -176.981 -205.734 -169.962 -183.237 -8379.934 20995.278
#> x1~1 32.765 34.317 92.187 97.631 -121.949 -132.439 8008.912
#> x2~1 26.617 26.900 72.263 76.530 -95.592 -103.815 -3632.930
#> x3~1 28.791 31.076 81.007 85.790 -107.159 -116.377 -4072.523
#> z1~1 90.688 98.943 25.014 29.834 -126.475 -133.362 53.739
#> z2~1 76.774 83.762 18.972 25.265 -107.070 -112.900 45.494
#> z3~1 84.227 91.894 23.088 25.894 -117.465 -123.861 49.911
#> y1~1 -23.830 -26.868 -24.082 -28.594 -591.822 -629.485 -175.978
#> y2~1 -19.669 -22.177 -19.877 -23.602 1373.042 -519.603 -145.251
#> y3~1 -20.918 -23.584 -21.139 -25.100 -519.697 1205.354 -154.473
#> x1~~x1 -1393.789 -1480.899 17.215 27.758 -10.436 -11.276 -12.456
#> x2~~x2 2706.779 -912.783 25.860 15.803 -6.260 -14.449 -12.842
#> x3~~x3 -1032.239 2728.642 14.434 17.587 14.616 22.610 -2.737
#> z1~~z1 12.166 13.088 -1311.114 -1440.523 14.557 13.753 38.942
#> z2~~z2 33.192 27.774 2844.836 -1038.563 -2.942 0.276 12.432
#> z3~~z3 24.306 33.480 -1121.346 2972.989 -14.427 -17.542 34.484
#> y1~~y1 1.156 0.693 7.153 5.850 -1492.670 -1626.237 2.719
#> y2~~y2 3.595 -5.547 -12.301 -9.390 3037.576 -1166.321 -11.069
#> y3~~y3 -16.478 -12.616 -8.459 -10.857 -1247.347 2838.789 2.591
#> X~~X 1135.891 1266.157 -50.893 -57.841 62.804 65.924 -9.452
#> X~~Z -118.616 -133.005 111.923 130.607 32.067 34.512 -51.815
#> Z~~Z -25.908 -29.569 1157.552 1267.939 48.931 52.032 -16.932
#> Y~~Y -29.986 -43.086 -32.830 -35.141 551.045 591.253 -13.057
#> Y~X -290.128 -314.921 -39.940 -48.686 435.444 458.969 -71.986
#> Y~Z -64.173 -69.128 -275.894 -285.806 396.807 432.239 -418.401
#> Y~X:Z -291.908 -336.780 -317.701 -348.413 418.384 438.077 -76.950
#> 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 9487.203
#> x3~1 -3192.325 8577.501
#> z1~1 42.125 47.222 7691.966
#> z2~1 35.662 39.977 -3639.993 9445.858
#> z3~1 39.124 43.858 -3993.358 -3380.666 8930.708
#> y1~1 -137.944 -154.635 -144.351 -122.204 -134.067 7702.348
#> y2~1 -113.858 -127.635 -119.147 -100.866 -110.658 -3983.554 9664.771
#> y3~1 -121.087 -135.738 -126.711 -107.270 -117.684 -4236.456 -3496.754
#> x1~~x1 14.008 15.703 49.547 41.945 46.017 -6.743 -5.565
#> x2~~x2 -44.329 -11.284 13.111 11.100 12.177 4.005 3.306
#> x3~~x3 -2.145 -27.610 31.576 26.732 29.327 5.888 4.860
#> z1~~z1 30.526 34.219 -18.666 -9.323 -9.689 -1.826 -1.507
#> z2~~z2 9.745 10.925 3.385 -14.990 3.509 -2.252 -1.859
#> z3~~z3 27.031 30.302 -9.278 -7.878 -19.408 9.410 7.768
#> y1~~y1 2.131 2.389 -4.851 -4.107 -4.504 -11.215 -4.057
#> y2~~y2 -8.677 -9.726 2.652 2.245 2.464 -3.632 -21.149
#> y3~~y3 2.031 2.277 -3.224 -2.730 -2.993 -3.356 -2.690
#> X~~X -7.409 -8.305 -31.108 -26.335 -28.903 -2.297 -1.896
#> X~~Z -40.616 -45.531 -39.279 -33.252 -36.481 55.735 46.003
#> Z~~Z -13.272 -14.878 7.192 6.087 6.709 -13.172 -10.872
#> Y~~Y -10.235 -11.474 -13.683 -11.584 -12.698 -1.326 -1.092
#> Y~X -56.428 -63.256 -398.929 -337.722 -370.508 -34.491 -28.469
#> Y~Z -327.971 -367.657 -71.407 -60.451 -66.334 -37.584 -31.022
#> Y~X:Z -60.318 -67.617 -51.268 -43.401 -47.632 129.429 106.830
#> 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 8510.685
#> x1~~x1 -5.919 16016.174
#> x2~~x2 3.516 3555.699 22464.443
#> x3~~x3 5.168 4015.293 2493.955 18354.888
#> z1~~z1 -1.601 2.197 14.407 21.157 14790.612
#> z2~~z2 -1.975 51.923 -22.951 23.566 3280.323 22297.563
#> z3~~z3 8.262 13.093 42.358 18.606 3958.975 2879.833 19912.683
#> y1~~y1 -3.676 20.128 10.861 17.001 18.885 20.459 35.740
#> y2~~y2 -2.677 6.782 -18.890 29.463 3.029 10.423 -10.310
#> y3~~y3 -12.322 8.646 21.479 -5.534 12.896 -6.950 0.416
#> X~~X -2.016 235.255 140.643 216.628 -10.091 -15.303 -7.095
#> X~~Z 48.924 -23.152 -50.087 -62.741 12.877 13.378 -27.483
#> Z~~Z -11.562 -13.486 4.574 8.668 264.648 187.738 236.431
#> Y~~Y -1.146 87.026 35.732 97.515 85.731 57.324 64.105
#> Y~X -30.276 -170.686 -57.202 -129.177 33.325 -16.931 6.753
#> Y~Z -32.990 -22.851 16.126 4.653 -137.990 -41.650 -143.916
#> Y~X:Z 113.614 -105.094 -100.894 -73.736 -101.683 -117.003 -141.366
#> 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 14830.694
#> y2~~y2 3720.772 23345.935
#> y3~~y3 4416.400 3345.358 18107.355
#> X~~X -3.251 0.738 5.301 3672.650
#> X~~Z 1.137 0.372 -1.841 -316.944 1819.837
#> Z~~Z -4.969 4.018 4.545 0.755 44.493 3588.888
#> Y~~Y 170.756 79.451 60.750 7.072 -0.953 8.751 760.541
#> Y~X 18.632 -9.569 11.630 120.953 36.087 -2.334 52.124
#> Y~Z -12.950 42.435 -8.517 7.168 59.601 90.419 47.415
#> Y~X:Z -25.631 14.893 54.393 121.452 54.431 111.268 108.934
#> 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 1549.735
#> Y~Z 320.337 1596.640
#> Y~X:Z -63.169 -27.131 1511.575
#>
#> $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 1.205
#> 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 1.205
#> 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 63.805 0 0.779 0.828
#> 3 X =~ x3 1 0.914 0.014 67.603 0 0.887 0.940
#> 4 Z =~ z1 1 1.000 NA NA NA NA NA
#> 5 Z =~ z2 1 0.810 0.012 65.075 0 0.786 0.835
#> 6 Z =~ z3 1 0.881 0.013 67.602 0 0.856 0.907
#> 7 Y =~ y1 1 1.000 NA NA NA NA NA
#> 8 Y =~ y2 1 0.798 0.007 107.521 0 0.784 0.813
#> 9 Y =~ y3 1 0.899 0.008 112.555 0 0.884 0.915
#> 10 Y ~ X 1 0.673 0.031 21.666 0 0.612 0.734
#> 11 Y ~ Z 1 0.569 0.030 18.710 0 0.509 0.628
#> 12 Y ~ X:Z 1 0.718 0.028 25.828 0 0.664 0.773
#> 13 x1 ~1 1 1.023 0.024 42.772 0 0.976 1.070
#> 14 x2 ~1 1 1.215 0.020 60.836 0 1.176 1.255
#> 15 x3 ~1 1 0.919 0.022 41.370 0 0.876 0.963
#> 16 z1 ~1 1 1.011 0.024 41.557 0 0.964 1.059
#> 17 z2 ~1 1 1.205 0.020 59.250 0 1.166 1.245
#> 18 z3 ~1 1 0.916 0.022 42.044 0 0.873 0.958
#> 19 y1 ~1 1 1.036 0.033 31.382 0 0.972 1.101
#> 20 y2 ~1 1 1.220 0.027 45.406 0 1.167 1.272
#> 21 y3 ~1 1 0.953 0.030 31.786 0 0.894 1.012
#> 22 x1 ~~ x1 1 0.158 0.009 18.164 0 0.141 0.175
#> 23 x2 ~~ x2 1 0.162 0.007 23.150 0 0.148 0.176
#> 24 x3 ~~ x3 1 0.165 0.008 20.750 0 0.149 0.180
#> 25 z1 ~~ z1 1 0.167 0.009 18.501 0 0.149 0.184
#> 26 z2 ~~ z2 1 0.160 0.007 22.674 0 0.146 0.173
#> 27 z3 ~~ z3 1 0.158 0.008 20.773 0 0.143 0.173
#> 28 y1 ~~ y1 1 0.160 0.009 18.008 0 0.142 0.177
#> 29 y2 ~~ y2 1 0.154 0.007 22.680 0 0.141 0.168
#> 30 y3 ~~ y3 1 0.164 0.008 20.675 0 0.148 0.179
#> 31 X ~~ X 1 0.982 0.036 26.955 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 26.928 0 0.943 1.092
#> 34 Y ~~ Y 1 0.980 0.038 25.932 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] 17
#>
#> $convergence
#> [1] TRUE
#>
#> $ovs
#> [1] "x1" "x2" "x3" "z1" "z2" "z3" "y1" "y2" "y3"
#>
#> $ngroups
#> [1] 1
#>
#> $group
#> NULL
#>
#> $group.label
#> [1] "Group1"
#>
#> $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 1.215
#> x3 0.919
#> z1 1.011
#> z2 1.205
#> z3 0.916
#> y1 1.036
#> y2 1.220
#> y3 0.953
#>
#> $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
#>
#> $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 0.982
#> 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 1.140
#> 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 0.569 0.461 0.502 1.950 1.711
#> y3 0.696 0.559 0.636 0.641 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 0.569 0.596 1.950 0.618 0.497 0.565 0.569 0.461 0.502 1.950 1.711
#> y3 0.696 0.641 0.671 2.196 0.696 0.559 0.636 0.641 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 1.205
#> 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 1.205
#> 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
#>
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 1.205
#> 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 8937.701
#> X=~x3 -2765.304 8143.224
#> Z=~z2 63.681 74.638 9236.244
#> Z=~z3 72.672 81.875 -3032.256 8773.933
#> Y=~y2 -169.928 -194.537 -158.897 -172.354 23795.065
#> Y=~y3 -176.981 -205.734 -169.962 -183.237 -8379.934 20995.278
#> x1~1 32.765 34.317 92.187 97.631 -121.949 -132.439 8008.912
#> x2~1 26.617 26.900 72.263 76.530 -95.592 -103.815 -3632.930
#> x3~1 28.791 31.076 81.007 85.790 -107.159 -116.377 -4072.523
#> z1~1 90.688 98.943 25.014 29.834 -126.475 -133.362 53.739
#> z2~1 76.774 83.762 18.972 25.265 -107.070 -112.900 45.494
#> z3~1 84.227 91.894 23.088 25.894 -117.465 -123.861 49.911
#> y1~1 -23.830 -26.868 -24.082 -28.594 -591.822 -629.485 -175.978
#> y2~1 -19.669 -22.177 -19.877 -23.602 1373.042 -519.603 -145.251
#> y3~1 -20.918 -23.584 -21.139 -25.100 -519.697 1205.354 -154.473
#> x1~~x1 -1393.789 -1480.899 17.215 27.758 -10.436 -11.276 -12.456
#> x2~~x2 2706.779 -912.783 25.860 15.803 -6.260 -14.449 -12.842
#> x3~~x3 -1032.239 2728.642 14.434 17.587 14.616 22.610 -2.737
#> z1~~z1 12.166 13.088 -1311.114 -1440.523 14.557 13.753 38.942
#> z2~~z2 33.192 27.774 2844.836 -1038.563 -2.942 0.276 12.432
#> z3~~z3 24.306 33.480 -1121.346 2972.989 -14.427 -17.542 34.484
#> y1~~y1 1.156 0.693 7.153 5.850 -1492.670 -1626.237 2.719
#> y2~~y2 3.595 -5.547 -12.301 -9.390 3037.576 -1166.321 -11.069
#> y3~~y3 -16.478 -12.616 -8.459 -10.857 -1247.347 2838.789 2.591
#> X~~X 1135.891 1266.157 -50.893 -57.841 62.804 65.924 -9.452
#> X~~Z -118.616 -133.005 111.923 130.607 32.067 34.512 -51.815
#> Z~~Z -25.908 -29.569 1157.552 1267.939 48.931 52.032 -16.932
#> Y~~Y -29.986 -43.086 -32.830 -35.141 551.045 591.253 -13.057
#> Y~X -290.128 -314.921 -39.940 -48.686 435.444 458.969 -71.986
#> Y~Z -64.173 -69.128 -275.894 -285.806 396.807 432.239 -418.401
#> Y~X:Z -291.908 -336.780 -317.701 -348.413 418.384 438.077 -76.950
#> 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 9487.203
#> x3~1 -3192.325 8577.501
#> z1~1 42.125 47.222 7691.966
#> z2~1 35.662 39.977 -3639.993 9445.858
#> z3~1 39.124 43.858 -3993.358 -3380.666 8930.708
#> y1~1 -137.944 -154.635 -144.351 -122.204 -134.067 7702.348
#> y2~1 -113.858 -127.635 -119.147 -100.866 -110.658 -3983.554 9664.771
#> y3~1 -121.087 -135.738 -126.711 -107.270 -117.684 -4236.456 -3496.754
#> x1~~x1 14.008 15.703 49.547 41.945 46.017 -6.743 -5.565
#> x2~~x2 -44.329 -11.284 13.111 11.100 12.177 4.005 3.306
#> x3~~x3 -2.145 -27.610 31.576 26.732 29.327 5.888 4.860
#> z1~~z1 30.526 34.219 -18.666 -9.323 -9.689 -1.826 -1.507
#> z2~~z2 9.745 10.925 3.385 -14.990 3.509 -2.252 -1.859
#> z3~~z3 27.031 30.302 -9.278 -7.878 -19.408 9.410 7.768
#> y1~~y1 2.131 2.389 -4.851 -4.107 -4.504 -11.215 -4.057
#> y2~~y2 -8.677 -9.726 2.652 2.245 2.464 -3.632 -21.149
#> y3~~y3 2.031 2.277 -3.224 -2.730 -2.993 -3.356 -2.690
#> X~~X -7.409 -8.305 -31.108 -26.335 -28.903 -2.297 -1.896
#> X~~Z -40.616 -45.531 -39.279 -33.252 -36.481 55.735 46.003
#> Z~~Z -13.272 -14.878 7.192 6.087 6.709 -13.172 -10.872
#> Y~~Y -10.235 -11.474 -13.683 -11.584 -12.698 -1.326 -1.092
#> Y~X -56.428 -63.256 -398.929 -337.722 -370.508 -34.491 -28.469
#> Y~Z -327.971 -367.657 -71.407 -60.451 -66.334 -37.584 -31.022
#> Y~X:Z -60.318 -67.617 -51.268 -43.401 -47.632 129.429 106.830
#> 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 8510.685
#> x1~~x1 -5.919 16016.174
#> x2~~x2 3.516 3555.699 22464.443
#> x3~~x3 5.168 4015.293 2493.955 18354.888
#> z1~~z1 -1.601 2.197 14.407 21.157 14790.612
#> z2~~z2 -1.975 51.923 -22.951 23.566 3280.323 22297.563
#> z3~~z3 8.262 13.093 42.358 18.606 3958.975 2879.833 19912.683
#> y1~~y1 -3.676 20.128 10.861 17.001 18.885 20.459 35.740
#> y2~~y2 -2.677 6.782 -18.890 29.463 3.029 10.423 -10.310
#> y3~~y3 -12.322 8.646 21.479 -5.534 12.896 -6.950 0.416
#> X~~X -2.016 235.255 140.643 216.628 -10.091 -15.303 -7.095
#> X~~Z 48.924 -23.152 -50.087 -62.741 12.877 13.378 -27.483
#> Z~~Z -11.562 -13.486 4.574 8.668 264.648 187.738 236.431
#> Y~~Y -1.146 87.026 35.732 97.515 85.731 57.324 64.105
#> Y~X -30.276 -170.686 -57.202 -129.177 33.325 -16.931 6.753
#> Y~Z -32.990 -22.851 16.126 4.653 -137.990 -41.650 -143.916
#> Y~X:Z 113.614 -105.094 -100.894 -73.736 -101.683 -117.003 -141.366
#> 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 14830.694
#> y2~~y2 3720.772 23345.935
#> y3~~y3 4416.400 3345.358 18107.355
#> X~~X -3.251 0.738 5.301 3672.650
#> X~~Z 1.137 0.372 -1.841 -316.944 1819.837
#> Z~~Z -4.969 4.018 4.545 0.755 44.493 3588.888
#> Y~~Y 170.756 79.451 60.750 7.072 -0.953 8.751 760.541
#> Y~X 18.632 -9.569 11.630 120.953 36.087 -2.334 52.124
#> Y~Z -12.950 42.435 -8.517 7.168 59.601 90.419 47.415
#> Y~X:Z -25.631 14.893 54.393 121.452 54.431 111.268 108.934
#> 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 1549.735
#> Y~Z 320.337 1596.640
#> Y~X:Z -63.169 -27.131 1511.575
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 17
#>
#> $convergence
#> [1] TRUE
#>
modsem_inspect(est, what = "phi")
#> X Z
#> X 0.982
#> Z 0.200 1.017
# }