Inspect model information
modsem_inspect.Rdfunction used to inspect fitted object. Similar to lavaan::lavInspect
argument what decides what to inspect
modsem_inspect.modsem_da Lets you
pull matrices, optimiser diagnostics, expected moments, or fit
measures from a modsem_da object.
Usage
modsem_inspect(object, what = NULL, ...)
# S3 method for class 'lavaan'
modsem_inspect(object, what = "free", ...)
# S3 method for class 'modsem_da'
modsem_inspect(object, what = NULL, ...)
# S3 method for class 'modsem_pi'
modsem_inspect(object, what = "free", ...)Value
A named list with the extracted information. If a single piece of information is returned, it is returned as is; not as a named element in a list.
Details
For modsem_pi objects, it is just a wrapper for lavaan::lavInspect.
For modsem_da objects an internal function is called, which takes different
keywords for the what argument.
Below is a list of possible values for the what argument,
organised in several sections. Keywords are case-sensitive.
Presets
"default"Everything in Sample information, Optimiser diagnostics Parameter tables, Model matrices, and Expected-moment matrices except the raw
dataslot"coef"Coefficients and variance-covariance matrix of both free and constrained parameters (same as
"coef.all")."coef.all"Coefficients and variance-covariance matrix of both free and constrained parameters (same as
"coef")."coef.free"Coefficients and variance-covariance matrix of the free parameters.
"all"All items listed below, including
data."matrices"The model matrices.
"optim"Only the items under Optimiser diagnostics
.
"fit"A list with
fit.h0,fit.h1, comparative.fit
Sample information:
"N"Number of analysed rows (integer).
Parameter estimates and standard errors:
"coefficients.free"Free parameter values.
"coefficients.all"Both free and constrained parameter values.
"vcov.free"Variance–covariance of free coefficients only.
"vcov.all"Variance–covariance of both free and constrained coefficients.
Optimiser diagnostics:
"coefficients.free"Free parameter values.
"vcov.free"Variance–covariance of free coefficients only.
"information"Fisher information matrix.
"loglik"Log-likelihood.
"iterations"Optimiser iteration count.
"convergence"TRUE/FALSEindicating whether the model converged.
Parameter tables:
"partable"Parameter table with estimated parameters.
"partable.input"Parsed model syntax.
Model matrices:
"lambda"\(\Lambda\) – Factor loadings.
"tau"\(\tau\) – Intercepts for indicators.
"theta"\(\Theta\) – Residual (Co-)Variances for indicators.
"gamma.xi"\(\Gamma_{\xi}\) – Structural coefficients between exogenous and endogenous variables.
"gamma.eta"\(\Gamma_{\eta}\) – Structural coefficients between endogenous variables.
"omega.xi.xi"\(\Omega_{\xi\xi}\) – Interaction effects between exogenous variables
"omega.eta.xi"\(\Omega_{\eta\xi}\) – Interaction effects between exogenous and endogenous variables
"phi"\(\Phi\) – (Co-)Variances among exogenous variables.
"psi"\(\Psi\) – Residual (co-)variances among engoenous variables.
"alpha"\(\alpha\) – Intercepts for endogenous variables
"beta0"\(\beta_0\) – Intercepts for exogenous variables
Model-implied matrices:
"cov.ov"Model-implied covariance of observed variables.
"cov.lv"Model-implied covariance of latent variables.
"cov.all"Joint covariance of observed + latent variables.
"cor.ov"Correlation counterpart of
"cov.ov"."cor.lv"Correlation counterpart of
"cov.lv"."cor.all"Correlation counterpart of
"cov.all"."mean.ov"Expected means of observed variables.
"mean.lv"Expected means of latent variables.
"mean.all"Joint mean vector.
R-squared and standardized residual variances:
"r2.all"R-squared values for both observed (i.e., indicators) and latent endogenous variables.
"r2.lv"R-squared values for latent endogenous variables.
"r2.ov"R-squared values for observed (i.e., indicators) variables.
"res.all"Standardized residuals (i.e.,
1 - R^2) for both observed (i.e., indicators) and latent endogenous variables."res.lv"Standardized residuals (i.e.,
1 - R^2) for latent endogenous variables."res.ov"Standardized residuals (i.e.,
1 - R^2) for observed variables (i.e., indicators).
Interaction-specific caveats:
If the model contains an uncentred latent interaction term it is centred internally before any
cov.*,cor.*, ormean.*matrices are calculated.These matrices should not be used to compute fit-statistics (e.g., chi-square and RMSEA) if there is an interaction term in the model.
Examples
# \dontrun{
m1 <- "
# Outer Model
X =~ x1 + x2 + x3
Y =~ y1 + y2 + y3
Z =~ z1 + z2 + z3
# Inner model
Y ~ X + Z + X:Z
"
est <- modsem(m1, oneInt, "lms")
modsem_inspect(est) # everything except "data"
#> $N
#> [1] 2000
#>
#> $vcov.all
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1 z3~1
#> X=~x2 0.000
#> X=~x3 0.000 0.000
#> Z=~z2 0.000 0.000 0.000
#> Z=~z3 0.000 0.000 0.000 0.000
#> Y=~y2 0.000 0.000 0.000 0.000 0.000
#> Y=~y3 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> x2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> z2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~~x1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1 0.001
#> y2~1 0.001 0.001
#> y3~1 0.001 0.001 0.001
#> x1~~x1 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2 0.000
#> y3~~y3 0.000 0.000
#> X~~X 0.000 0.000 0.001
#> X~~Z 0.000 0.000 0.000 0.001
#> Z~~Z 0.000 0.000 0.000 0.000 0.001
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#>
#> $vcov.free
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1 z3~1
#> X=~x2 0.000
#> X=~x3 0.000 0.000
#> Z=~z2 0.000 0.000 0.000
#> Z=~z3 0.000 0.000 0.000 0.000
#> Y=~y2 0.000 0.000 0.000 0.000 0.000
#> Y=~y3 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> x2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> z2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x1~~x1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~1 y2~1 y3~1 x1~~x1 x2~~x2 x3~~x3 z1~~z1 z2~~z2 z3~~z3 y1~~y1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1 0.001
#> y2~1 0.001 0.001
#> y3~1 0.001 0.001 0.001
#> x1~~x1 0.000 0.000 0.000 0.000
#> x2~~x2 0.000 0.000 0.000 0.000 0.000
#> x3~~x3 0.000 0.000 0.000 0.000 0.000 0.000
#> z1~~z1 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z2~~z2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> z3~~z3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y1~~y1 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y3~~y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Z~~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1
#> x3~1
#> z1~1
#> z2~1
#> z3~1
#> y1~1
#> y2~1
#> y3~1
#> x1~~x1
#> x2~~x2
#> x3~~x3
#> z1~~z1
#> z2~~z2
#> z3~~z3
#> y1~~y1
#> y2~~y2 0.000
#> y3~~y3 0.000 0.000
#> X~~X 0.000 0.000 0.000
#> X~~Z 0.000 0.000 0.000 0.001
#> Z~~Z 0.000 0.000 0.000 0.000 0.000
#> Y~~Y 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#> Y~X:Z 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.001
#>
#> $information
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1
#> X=~x2 8941.413
#> X=~x3 -2766.932 8146.859
#> Z=~z2 63.670 74.619 9240.937
#> Z=~z3 72.650 81.846 -3032.563 8778.076
#> Y=~y2 -169.923 -194.531 -158.935 -172.385 23805.709
#> Y=~y3 -176.940 -205.685 -169.987 -183.253 -8380.904 21002.167
#> x1~1 38.522 40.746 92.264 97.701 -121.952 -132.420 8013.058
#> x2~1 10.568 31.870 72.307 76.568 -95.572 -103.775 -3634.675
#> x3~1 33.657 16.786 81.063 85.840 -107.143 -116.339 -4074.718
#> z1~1 90.674 98.921 24.013 28.712 -126.452 -133.325 53.716
#> z2~1 76.737 83.718 22.173 24.307 -107.016 -112.833 45.460
#> z3~1 84.183 91.841 22.148 28.932 -117.397 -123.778 49.873
#> y1~1 -23.667 -26.686 -24.122 -28.638 -589.570 -627.065 -176.042
#> y2~1 -19.533 -22.024 -19.907 -23.635 1367.813 -517.542 -145.286
#> y3~1 -20.771 -23.420 -21.169 -25.133 -517.592 1200.597 -154.491
#> x1~~x1 -1396.871 -1484.764 17.173 27.715 -10.413 -11.257 0.222
#> x2~~x2 2717.983 -914.664 25.828 15.779 -6.281 -14.460 -13.562
#> x3~~x3 -1034.296 2742.624 14.404 17.561 14.615 22.607 -3.521
#> z1~~z1 12.114 13.022 -1311.093 -1440.284 14.661 13.862 38.914
#> z2~~z2 33.194 27.786 2849.540 -1039.664 -3.008 0.209 12.447
#> z3~~z3 24.302 33.468 -1122.292 2976.993 -14.507 -17.623 34.492
#> y1~~y1 1.223 0.770 7.235 5.936 -1490.895 -1623.967 2.763
#> y2~~y2 3.560 -5.584 -12.352 -9.441 3047.284 -1169.447 -11.120
#> y3~~y3 -16.502 -12.652 -8.481 -10.879 -1249.054 2843.420 2.562
#> X~~X 1121.519 1250.057 -50.618 -57.563 62.534 65.681 -12.072
#> X~~Z -118.650 -133.032 111.949 130.631 32.033 34.473 -51.087
#> Z~~Z -25.901 -29.560 1157.468 1267.766 48.967 52.066 -17.136
#> Y~~Y -29.967 -43.067 -32.807 -35.111 551.185 591.354 -13.141
#> Y~X -290.207 -314.990 -39.950 -48.692 435.405 458.882 -71.183
#> Y~Z -63.774 -68.688 -276.032 -285.941 396.915 432.320 -418.700
#> Y~X:Z -292.125 -337.006 -317.322 -348.007 417.904 437.509 -76.351
#> x2~1 x3~1 z1~1 z2~1 z3~1 y1~1 y2~1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1 9491.365
#> x3~1 -3193.293 8581.520
#> z1~1 42.098 47.198 7693.822
#> z2~1 35.627 39.944 -3641.489 9448.661
#> z3~1 39.086 43.821 -3994.707 -3380.734 8933.037
#> y1~1 -137.961 -154.664 -144.449 -122.248 -134.106 7704.195
#> y2~1 -113.859 -127.643 -119.213 -100.891 -110.677 -3985.188 9668.266
#> y3~1 -121.072 -135.729 -126.766 -107.282 -117.688 -4237.650 -3497.306
#> x1~~x1 13.477 15.615 49.527 41.916 45.983 -6.645 -5.484
#> x2~~x2 -34.926 -11.453 13.085 11.074 12.149 4.064 3.354
#> x3~~x3 -2.589 -20.113 31.552 26.703 29.294 5.968 4.926
#> z1~~z1 30.497 34.192 -17.318 -9.996 -10.423 -1.830 -1.510
#> z2~~z2 9.755 10.938 2.581 -12.860 2.764 -2.283 -1.884
#> z3~~z3 27.031 30.306 -10.118 -8.585 -17.520 9.381 7.742
#> y1~~y1 2.166 2.430 -4.802 -4.063 -4.457 -11.194 -4.066
#> y2~~y2 -8.715 -9.769 2.610 2.209 2.424 -4.135 -19.975
#> y3~~y3 2.008 2.253 -3.249 -2.749 -3.014 -3.612 -2.899
#> X~~X -9.448 -10.564 -30.740 -26.015 -28.540 -2.367 -1.953
#> X~~Z -40.038 -44.891 -40.355 -34.152 -37.465 55.743 46.005
#> Z~~Z -13.429 -15.055 8.095 6.849 7.545 -13.134 -10.840
#> Y~~Y -10.295 -11.533 -13.721 -11.612 -12.730 -1.210 -0.996
#> Y~X -55.791 -62.559 -398.575 -337.316 -370.033 -35.509 -29.306
#> Y~Z -328.128 -367.853 -71.452 -60.469 -66.348 -37.348 -30.823
#> Y~X:Z -59.840 -67.096 -51.318 -43.429 -47.656 129.502 106.878
#> 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 8512.872
#> x1~~x1 -5.830 16047.797
#> x2~~x2 3.567 3555.475 22504.540
#> x3~~x3 5.239 4015.987 2491.402 18388.806
#> z1~~z1 -1.604 2.152 14.383 21.162 14804.925
#> z2~~z2 -2.003 51.930 -22.926 23.557 3285.733 22324.018
#> z3~~z3 8.233 13.072 42.301 18.546 3964.295 2880.053 19933.524
#> y1~~y1 -3.680 20.145 10.865 16.982 18.916 20.484 35.785
#> y2~~y2 -3.115 6.753 -18.881 29.469 3.047 10.431 -10.322
#> y3~~y3 -11.845 8.627 21.430 -5.560 12.929 -6.953 0.405
#> X~~X -2.077 264.947 158.817 239.014 -9.890 -15.275 -7.025
#> X~~Z 48.919 -23.156 -50.109 -62.780 12.785 13.400 -27.485
#> Z~~Z -11.526 -13.496 4.559 8.645 264.178 188.078 236.736
#> Y~~Y -1.045 86.915 35.631 97.389 85.918 57.378 64.158
#> Y~X -31.161 -170.792 -57.265 -129.285 33.340 -17.013 6.643
#> Y~Z -32.775 -22.694 16.203 4.783 -138.032 -41.787 -144.063
#> Y~X:Z 113.650 -105.233 -100.996 -73.859 -101.409 -117.093 -141.290
#> 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 14844.955
#> y2~~y2 3727.007 23379.567
#> y3~~y3 4421.356 3347.485 18125.983
#> X~~X -3.236 0.848 5.409 3678.980
#> X~~Z 1.124 0.387 -1.832 -316.982 1821.062
#> Z~~Z -4.996 4.033 4.550 0.729 44.466 3588.784
#> Y~~Y 170.702 79.670 60.862 7.653 -0.943 8.732 760.885
#> Y~X 18.450 -9.444 11.702 119.416 35.820 -2.213 52.143
#> Y~Z -13.147 42.566 -8.469 7.043 59.689 90.465 47.353
#> Y~X:Z -25.807 14.973 54.490 120.002 54.341 111.150 108.938
#> 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 1550.013
#> Y~Z 320.483 1596.966
#> Y~X:Z -63.646 -29.256 1511.873
#>
#> $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 1.024 1.217 0.921 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
#> 0.915 1.037 1.220 0.954 0.158 0.162 0.164 0.167 0.160 0.158 0.160
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> 0.154 0.164 0.981 0.200 1.018 0.980 0.672 0.570 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 1.024 1.217 0.921 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
#> 0.915 1.037 1.220 0.954 0.158 0.162 0.164 0.167 0.160 0.158 0.160
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> 0.154 0.164 0.981 0.200 1.018 0.980 0.672 0.570 0.718
#>
#> $partable
#> lhs op rhs label est std.error z.value p.value ci.lower ci.upper
#> 1 X =~ x1 1.000 NA NA NA NA NA
#> 2 X =~ x2 0.803 0.013 63.912 0 0.779 0.828
#> 3 X =~ x3 0.914 0.013 67.731 0 0.887 0.940
#> 4 Z =~ z1 1.000 NA NA NA NA NA
#> 5 Z =~ z2 0.810 0.012 65.091 0 0.786 0.835
#> 6 Z =~ z3 0.881 0.013 67.619 0 0.855 0.907
#> 7 Y =~ y1 1.000 NA NA NA NA NA
#> 8 Y =~ y2 0.798 0.007 107.545 0 0.784 0.813
#> 9 Y =~ y3 0.899 0.008 112.581 0 0.884 0.915
#> 10 Y ~ X 0.672 0.031 21.664 0 0.612 0.733
#> 11 Y ~ Z 0.570 0.030 18.749 0 0.510 0.629
#> 12 Y ~ X:Z 0.718 0.028 25.838 0 0.664 0.773
#> 13 x1 ~1 1.024 0.024 42.854 0 0.977 1.071
#> 14 x2 ~1 1.217 0.020 60.923 0 1.177 1.256
#> 15 x3 ~1 0.921 0.022 41.450 0 0.877 0.964
#> 16 z1 ~1 1.011 0.024 41.543 0 0.963 1.059
#> 17 z2 ~1 1.205 0.020 59.242 0 1.165 1.245
#> 18 z3 ~1 0.915 0.022 42.034 0 0.873 0.958
#> 19 y1 ~1 1.037 0.033 31.397 0 0.972 1.102
#> 20 y2 ~1 1.220 0.027 45.423 0 1.167 1.273
#> 21 y3 ~1 0.954 0.030 31.803 0 0.895 1.012
#> 22 x1 ~~ x1 0.158 0.009 18.168 0 0.141 0.175
#> 23 x2 ~~ x2 0.162 0.007 23.163 0 0.148 0.176
#> 24 x3 ~~ x3 0.164 0.008 20.760 0 0.149 0.180
#> 25 z1 ~~ z1 0.167 0.009 18.503 0 0.149 0.184
#> 26 z2 ~~ z2 0.160 0.007 22.681 0 0.146 0.173
#> 27 z3 ~~ z3 0.158 0.008 20.779 0 0.143 0.173
#> 28 y1 ~~ y1 0.160 0.009 18.011 0 0.142 0.177
#> 29 y2 ~~ y2 0.154 0.007 22.687 0 0.141 0.168
#> 30 y3 ~~ y3 0.164 0.008 20.682 0 0.148 0.179
#> 31 X ~~ X 0.981 0.036 27.035 0 0.910 1.052
#> 32 X ~~ Z 0.200 0.024 8.244 0 0.152 0.248
#> 33 Z ~~ Z 1.018 0.038 26.933 0 0.944 1.092
#> 34 Y ~~ Y 0.980 0.038 25.938 0 0.906 1.054
#>
#> $partable.input
#> lhs op rhs mod
#> 1 X =~ x1
#> 2 X =~ x2
#> 3 X =~ x3
#> 4 Y =~ y1
#> 5 Y =~ y2
#> 6 Y =~ y3
#> 7 Z =~ z1
#> 8 Z =~ z2
#> 9 Z =~ z3
#> 10 Y ~ X
#> 11 Y ~ Z
#> 12 Y ~ X:Z
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 46
#>
#> $convergence
#> [1] TRUE
#>
#> $lambda
#> X Z Y
#> x1 1.000 0.000 0.000
#> x2 0.803 0.000 0.000
#> x3 0.914 0.000 0.000
#> z1 0.000 1.000 0.000
#> z2 0.000 0.810 0.000
#> z3 0.000 0.881 0.000
#> y1 0.000 0.000 1.000
#> y2 0.000 0.000 0.798
#> y3 0.000 0.000 0.899
#>
#> $tau
#> ~1
#> x1 1.024
#> x2 1.217
#> x3 0.921
#> z1 1.011
#> z2 1.205
#> z3 0.915
#> y1 1.037
#> y2 1.220
#> y3 0.954
#>
#> $theta
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 0.158
#> x2 0.000 0.162
#> x3 0.000 0.000 0.164
#> z1 0.000 0.000 0.000 0.167
#> z2 0.000 0.000 0.000 0.000 0.160
#> z3 0.000 0.000 0.000 0.000 0.000 0.158
#> y1 0.000 0.000 0.000 0.000 0.000 0.000 0.160
#> y2 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.154
#> y3 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.164
#>
#> $gamma.xi
#> X Z
#> Y 0.672 0.570
#>
#> $gamma.eta
#> Y
#> Y 0.000
#>
#> $omega.xi.xi
#> X Z
#> Y~X 0.000 0.718
#> Y~Z 0.000 0.000
#>
#> $omega.eta.xi
#> Y
#> Y~X 0.000
#> Y~Z 0.000
#>
#> $phi
#> X Z
#> X 0.981
#> Z 0.200 1.018
#>
#> $psi
#> Y
#> Y 0.980
#>
#> $alpha
#> ~1
#> Y 0.000
#>
#> $beta0
#> ~1
#> X 0.000
#> Z 0.000
#>
#> $cov.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> x1 1.139
#> x2 0.788 0.795
#> x3 0.897 0.720 0.984
#> z1 0.200 0.161 0.183 1.184
#> z2 0.162 0.130 0.148 0.824 0.828
#> z3 0.176 0.142 0.161 0.896 0.726 0.948
#> y1 0.774 0.622 0.707 0.714 0.579 0.629 2.602
#> y2 0.618 0.496 0.564 0.570 0.462 0.502 1.950 1.711
#> y3 0.696 0.559 0.636 0.642 0.520 0.566 2.196 1.753 2.138
#>
#> $cov.lv
#> X Z X:Z Y
#> X 0.981
#> Z 0.200 1.018
#> X:Z 0.000 0.000 1.038
#> Y 0.774 0.714 0.746 2.443
#>
#> $cov.all
#> X Z X:Z Y x1 x2 x3 z1 z2 z3 y1 y2
#> X 0.981
#> Z 0.200 1.018
#> X:Z 0.000 0.000 1.038
#> Y 0.774 0.714 0.746 2.443
#> x1 0.981 0.200 0.000 0.774 1.139
#> x2 0.788 0.161 0.000 0.622 0.788 0.795
#> x3 0.897 0.183 0.000 0.707 0.897 0.720 0.984
#> z1 0.200 1.018 0.000 0.714 0.200 0.161 0.183 1.184
#> z2 0.162 0.824 0.000 0.579 0.162 0.130 0.148 0.824 0.828
#> z3 0.176 0.896 0.000 0.629 0.176 0.142 0.161 0.896 0.726 0.948
#> y1 0.774 0.714 0.746 2.443 0.774 0.622 0.707 0.714 0.579 0.629 2.602
#> y2 0.618 0.570 0.595 1.950 0.618 0.496 0.564 0.570 0.462 0.502 1.950 1.711
#> y3 0.696 0.642 0.671 2.196 0.696 0.559 0.636 0.642 0.520 0.566 2.196 1.753
#> y3
#> X
#> Z
#> X:Z
#> Y
#> x1
#> x2
#> x3
#> z1
#> z2
#> z3
#> y1
#> y2
#> y3 2.138
#>
#> $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 0.160 0.164 0.833 1.000
#> z3 0.170 0.163 0.167 0.846 0.820 1.000
#> y1 0.449 0.432 0.442 0.407 0.394 0.401 1.000
#> y2 0.442 0.425 0.435 0.401 0.388 0.394 0.924 1.000
#> y3 0.446 0.429 0.438 0.404 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 0.420 0.172 0.166 0.169 1.000
#> z2 0.180 0.898 0.000 0.407 0.167 0.160 0.164 0.833 1.000
#> z3 0.183 0.913 0.000 0.414 0.170 0.163 0.167 0.846 0.820 1.000
#> y1 0.484 0.439 0.454 0.969 0.449 0.432 0.442 0.407 0.394 0.401 1.000
#> y2 0.477 0.432 0.447 0.954 0.442 0.425 0.435 0.401 0.388 0.394 0.924 1.000
#> y3 0.480 0.435 0.450 0.961 0.446 0.429 0.438 0.404 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 1.024
#> x2 1.217
#> x3 0.921
#> z1 1.011
#> z2 1.205
#> z3 0.915
#> y1 1.180
#> y2 1.335
#> y3 1.083
#>
#> $mean.all
#> ~1
#> X 0.000
#> Z 0.000
#> X:Z 0.200
#> Y 0.144
#> x1 1.024
#> x2 1.217
#> x3 0.921
#> z1 1.011
#> z2 1.205
#> z3 0.915
#> y1 1.180
#> y2 1.335
#> y3 1.083
#>
#> $r2.all
#> Y x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.599 0.861 0.796 0.833 0.859 0.807 0.833 0.939 0.910 0.924
#>
#> $r2.lv
#> Y
#> 0.599
#>
#> $r2.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.861 0.796 0.833 0.859 0.807 0.833 0.939 0.910 0.924
#>
#> $res.all
#> Y x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.401 0.139 0.204 0.167 0.141 0.193 0.167 0.061 0.090 0.076
#>
#> $res.lv
#> Y
#> 0.401
#>
#> $res.ov
#> x1 x2 x3 z1 z2 z3 y1 y2 y3
#> 0.139 0.204 0.167 0.141 0.193 0.167 0.061 0.090 0.076
#>
modsem_inspect(est, what = "optim")
#> $coefficients.free
#> X=~x2 X=~x3 Z=~z2 Z=~z3 Y=~y2 Y=~y3 x1~1 x2~1 x3~1 z1~1 z2~1
#> 0.803 0.914 0.810 0.881 0.798 0.899 1.024 1.217 0.921 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
#> 0.915 1.037 1.220 0.954 0.158 0.162 0.164 0.167 0.160 0.158 0.160
#> y2~~y2 y3~~y3 X~~X X~~Z Z~~Z Y~~Y Y~X Y~Z Y~X:Z
#> 0.154 0.164 0.981 0.200 1.018 0.980 0.672 0.570 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 8941.413
#> X=~x3 -2766.932 8146.859
#> Z=~z2 63.670 74.619 9240.937
#> Z=~z3 72.650 81.846 -3032.563 8778.076
#> Y=~y2 -169.923 -194.531 -158.935 -172.385 23805.709
#> Y=~y3 -176.940 -205.685 -169.987 -183.253 -8380.904 21002.167
#> x1~1 38.522 40.746 92.264 97.701 -121.952 -132.420 8013.058
#> x2~1 10.568 31.870 72.307 76.568 -95.572 -103.775 -3634.675
#> x3~1 33.657 16.786 81.063 85.840 -107.143 -116.339 -4074.718
#> z1~1 90.674 98.921 24.013 28.712 -126.452 -133.325 53.716
#> z2~1 76.737 83.718 22.173 24.307 -107.016 -112.833 45.460
#> z3~1 84.183 91.841 22.148 28.932 -117.397 -123.778 49.873
#> y1~1 -23.667 -26.686 -24.122 -28.638 -589.570 -627.065 -176.042
#> y2~1 -19.533 -22.024 -19.907 -23.635 1367.813 -517.542 -145.286
#> y3~1 -20.771 -23.420 -21.169 -25.133 -517.592 1200.597 -154.491
#> x1~~x1 -1396.871 -1484.764 17.173 27.715 -10.413 -11.257 0.222
#> x2~~x2 2717.983 -914.664 25.828 15.779 -6.281 -14.460 -13.562
#> x3~~x3 -1034.296 2742.624 14.404 17.561 14.615 22.607 -3.521
#> z1~~z1 12.114 13.022 -1311.093 -1440.284 14.661 13.862 38.914
#> z2~~z2 33.194 27.786 2849.540 -1039.664 -3.008 0.209 12.447
#> z3~~z3 24.302 33.468 -1122.292 2976.993 -14.507 -17.623 34.492
#> y1~~y1 1.223 0.770 7.235 5.936 -1490.895 -1623.967 2.763
#> y2~~y2 3.560 -5.584 -12.352 -9.441 3047.284 -1169.447 -11.120
#> y3~~y3 -16.502 -12.652 -8.481 -10.879 -1249.054 2843.420 2.562
#> X~~X 1121.519 1250.057 -50.618 -57.563 62.534 65.681 -12.072
#> X~~Z -118.650 -133.032 111.949 130.631 32.033 34.473 -51.087
#> Z~~Z -25.901 -29.560 1157.468 1267.766 48.967 52.066 -17.136
#> Y~~Y -29.967 -43.067 -32.807 -35.111 551.185 591.354 -13.141
#> Y~X -290.207 -314.990 -39.950 -48.692 435.405 458.882 -71.183
#> Y~Z -63.774 -68.688 -276.032 -285.941 396.915 432.320 -418.700
#> Y~X:Z -292.125 -337.006 -317.322 -348.007 417.904 437.509 -76.351
#> x2~1 x3~1 z1~1 z2~1 z3~1 y1~1 y2~1
#> X=~x2
#> X=~x3
#> Z=~z2
#> Z=~z3
#> Y=~y2
#> Y=~y3
#> x1~1
#> x2~1 9491.365
#> x3~1 -3193.293 8581.520
#> z1~1 42.098 47.198 7693.822
#> z2~1 35.627 39.944 -3641.489 9448.661
#> z3~1 39.086 43.821 -3994.707 -3380.734 8933.037
#> y1~1 -137.961 -154.664 -144.449 -122.248 -134.106 7704.195
#> y2~1 -113.859 -127.643 -119.213 -100.891 -110.677 -3985.188 9668.266
#> y3~1 -121.072 -135.729 -126.766 -107.282 -117.688 -4237.650 -3497.306
#> x1~~x1 13.477 15.615 49.527 41.916 45.983 -6.645 -5.484
#> x2~~x2 -34.926 -11.453 13.085 11.074 12.149 4.064 3.354
#> x3~~x3 -2.589 -20.113 31.552 26.703 29.294 5.968 4.926
#> z1~~z1 30.497 34.192 -17.318 -9.996 -10.423 -1.830 -1.510
#> z2~~z2 9.755 10.938 2.581 -12.860 2.764 -2.283 -1.884
#> z3~~z3 27.031 30.306 -10.118 -8.585 -17.520 9.381 7.742
#> y1~~y1 2.166 2.430 -4.802 -4.063 -4.457 -11.194 -4.066
#> y2~~y2 -8.715 -9.769 2.610 2.209 2.424 -4.135 -19.975
#> y3~~y3 2.008 2.253 -3.249 -2.749 -3.014 -3.612 -2.899
#> X~~X -9.448 -10.564 -30.740 -26.015 -28.540 -2.367 -1.953
#> X~~Z -40.038 -44.891 -40.355 -34.152 -37.465 55.743 46.005
#> Z~~Z -13.429 -15.055 8.095 6.849 7.545 -13.134 -10.840
#> Y~~Y -10.295 -11.533 -13.721 -11.612 -12.730 -1.210 -0.996
#> Y~X -55.791 -62.559 -398.575 -337.316 -370.033 -35.509 -29.306
#> Y~Z -328.128 -367.853 -71.452 -60.469 -66.348 -37.348 -30.823
#> Y~X:Z -59.840 -67.096 -51.318 -43.429 -47.656 129.502 106.878
#> 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 8512.872
#> x1~~x1 -5.830 16047.797
#> x2~~x2 3.567 3555.475 22504.540
#> x3~~x3 5.239 4015.987 2491.402 18388.806
#> z1~~z1 -1.604 2.152 14.383 21.162 14804.925
#> z2~~z2 -2.003 51.930 -22.926 23.557 3285.733 22324.018
#> z3~~z3 8.233 13.072 42.301 18.546 3964.295 2880.053 19933.524
#> y1~~y1 -3.680 20.145 10.865 16.982 18.916 20.484 35.785
#> y2~~y2 -3.115 6.753 -18.881 29.469 3.047 10.431 -10.322
#> y3~~y3 -11.845 8.627 21.430 -5.560 12.929 -6.953 0.405
#> X~~X -2.077 264.947 158.817 239.014 -9.890 -15.275 -7.025
#> X~~Z 48.919 -23.156 -50.109 -62.780 12.785 13.400 -27.485
#> Z~~Z -11.526 -13.496 4.559 8.645 264.178 188.078 236.736
#> Y~~Y -1.045 86.915 35.631 97.389 85.918 57.378 64.158
#> Y~X -31.161 -170.792 -57.265 -129.285 33.340 -17.013 6.643
#> Y~Z -32.775 -22.694 16.203 4.783 -138.032 -41.787 -144.063
#> Y~X:Z 113.650 -105.233 -100.996 -73.859 -101.409 -117.093 -141.290
#> 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 14844.955
#> y2~~y2 3727.007 23379.567
#> y3~~y3 4421.356 3347.485 18125.983
#> X~~X -3.236 0.848 5.409 3678.980
#> X~~Z 1.124 0.387 -1.832 -316.982 1821.062
#> Z~~Z -4.996 4.033 4.550 0.729 44.466 3588.784
#> Y~~Y 170.702 79.670 60.862 7.653 -0.943 8.732 760.885
#> Y~X 18.450 -9.444 11.702 119.416 35.820 -2.213 52.143
#> Y~Z -13.147 42.566 -8.469 7.043 59.689 90.465 47.353
#> Y~X:Z -25.807 14.973 54.490 120.002 54.341 111.150 108.938
#> 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 1550.013
#> Y~Z 320.483 1596.966
#> Y~X:Z -63.646 -29.256 1511.873
#>
#> $loglik
#> [1] -17493.6
#>
#> $iterations
#> [1] 46
#>
#> $convergence
#> [1] TRUE
#>
modsem_inspect(est, what = "phi")
#> X Z
#> X 0.981
#> Z 0.200 1.018
# }