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function 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", ...)

Arguments

object

A fitted object of class "modsem_da".

what

Character scalar selecting what to return (see Details). If NULL the value "default" is used.

...

Passed straight to modsem_inspect_da().

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 data slot

"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/FALSE indicating 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.*, or mean.* 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.

Methods (by class)

  • modsem_inspect(lavaan): Inspect a lavaan object

  • modsem_inspect(modsem_da): Inspect a modsem_da object

  • modsem_inspect(modsem_pi): Inspect a modsem_pi object

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
# }