cfa.Model.4 <- '
RSC=~NA*rsc1+rsc2+rsc3
HSC=~NA*hsc1+hsc2+hsc3
MSC=~NA*msc1+msc2+msc3
SSC=~NA*ssc1+ssc2+ssc3

RSC~~1*RSC
HSC~~1*HSC
MSC~~1*MSC
SSC~~1*SSC

VERBAL=~NA*rsc1+rsc2+rsc3+hsc1+hsc2+hsc3
VERBAL~~1*VERBAL
QUANT=~NA*msc1+msc2+msc3+ssc1+ssc2+ssc3
QUANT~~1*QUANT
VERBAL~~0*RSC+0*HSC+0*MSC+0*SSC    
QUANT~~0*RSC+0*HSC+0*MSC+0*SSC

rsc1~1
rsc2~1
rsc3~1
hsc1~1
hsc2~1
hsc3~1
msc1~1
msc2~1
msc3~1
ssc1~1
ssc2~1
ssc3~1


rsc1~~hsc1+msc1+ssc1
rsc2~~hsc2+msc2+ssc2
rsc3~~hsc3+msc3+ssc3

hsc1~~msc1+ssc1
hsc2~~msc2+ssc2
hsc3~~msc3+ssc3

msc1~~ssc1
msc2~~ssc2
msc3~~ssc3

'

cfa.Fit.4 <- sem(cfa.Model.4, data = data)
summary(cfa.Fit.4, fit.measures = T, standardized=T)
## lavaan 0.6.15 ended normally after 144 iterations
## 
##   Estimator                                         ML
##   Optimization method                           NLMINB
##   Number of model parameters                        73
## 
##   Number of observations                          1000
## 
## Model Test User Model:
##                                                       
##   Test statistic                                 8.118
##   Degrees of freedom                                17
##   P-value (Chi-square)                           0.964
## 
## Model Test Baseline Model:
## 
##   Test statistic                              4826.062
##   Degrees of freedom                                66
##   P-value                                        0.000
## 
## User Model versus Baseline Model:
## 
##   Comparative Fit Index (CFI)                    1.000
##   Tucker-Lewis Index (TLI)                       1.007
## 
## Loglikelihood and Information Criteria:
## 
##   Loglikelihood user model (H0)             -17926.814
##   Loglikelihood unrestricted model (H1)     -17922.755
##                                                       
##   Akaike (AIC)                               35999.629
##   Bayesian (BIC)                             36357.895
##   Sample-size adjusted Bayesian (SABIC)      36126.043
## 
## Root Mean Square Error of Approximation:
## 
##   RMSEA                                          0.000
##   90 Percent confidence interval - lower         0.000
##   90 Percent confidence interval - upper         0.000
##   P-value H_0: RMSEA <= 0.050                    1.000
##   P-value H_0: RMSEA >= 0.080                    0.000
## 
## Standardized Root Mean Square Residual:
## 
##   SRMR                                           0.006
## 
## Parameter Estimates:
## 
##   Standard errors                             Standard
##   Information                                 Expected
##   Information saturated (h1) model          Structured
## 
## Latent Variables:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   RSC =~                                                                
##     rsc1             -0.691    2.501   -0.276    0.782   -0.691   -0.543
##     rsc2              0.137    0.469    0.292    0.771    0.137    0.101
##     rsc3              0.208    0.550    0.379    0.705    0.208    0.162
##   HSC =~                                                                
##     hsc1              0.832    0.057   14.666    0.000    0.832    0.611
##     hsc2              0.822    0.056   14.693    0.000    0.822    0.651
##     hsc3              0.810    0.051   15.821    0.000    0.810    0.615
##   MSC =~                                                                
##     msc1              0.589    0.309    1.907    0.056    0.589    0.422
##     msc2              0.705    0.275    2.563    0.010    0.705    0.540
##     msc3              0.883    0.196    4.504    0.000    0.883    0.680
##   SSC =~                                                                
##     ssc1              0.909    0.084   10.879    0.000    0.909    0.654
##     ssc2              0.967    0.084   11.496    0.000    0.967    0.729
##     ssc3              0.853    0.082   10.414    0.000    0.853    0.681
##   VERBAL =~                                                             
##     rsc1              0.968    0.372    2.602    0.009    0.968    0.761
##     rsc2              0.989    0.091   10.888    0.000    0.989    0.732
##     rsc3              0.820    0.126    6.524    0.000    0.820    0.639
##     hsc1              0.493    0.073    6.710    0.000    0.493    0.362
##     hsc2              0.558    0.073    7.677    0.000    0.558    0.442
##     hsc3              0.459    0.067    6.847    0.000    0.459    0.349
##   QUANT =~                                                              
##     msc1              1.044    0.195    5.351    0.000    1.044    0.748
##     msc2              0.766    0.235    3.263    0.001    0.766    0.586
##     msc3              0.604    0.230    2.631    0.009    0.604    0.465
##     ssc1              0.749    0.095    7.923    0.000    0.749    0.539
##     ssc2              0.623    0.130    4.785    0.000    0.623    0.469
##     ssc3              0.450    0.131    3.444    0.001    0.450    0.360
## 
## Covariances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##   RSC ~~                                                                
##     VERBAL            0.000                               0.000    0.000
##   HSC ~~                                                                
##     VERBAL            0.000                               0.000    0.000
##   MSC ~~                                                                
##     VERBAL            0.000                               0.000    0.000
##   SSC ~~                                                                
##     VERBAL            0.000                               0.000    0.000
##   RSC ~~                                                                
##     QUANT             0.000                               0.000    0.000
##   HSC ~~                                                                
##     QUANT             0.000                               0.000    0.000
##   MSC ~~                                                                
##     QUANT             0.000                               0.000    0.000
##   SSC ~~                                                                
##     QUANT             0.000                               0.000    0.000
##  .rsc1 ~~                                                               
##    .hsc1              0.144    0.048    3.010    0.003    0.144    0.332
##    .msc1              0.005    0.071    0.073    0.941    0.005    0.016
##    .ssc1              0.073    0.041    1.789    0.074    0.073    0.219
##  .rsc2 ~~                                                               
##    .hsc2              0.066    0.047    1.404    0.160    0.066    0.093
##    .msc2             -0.030    0.040   -0.735    0.463   -0.030   -0.041
##    .ssc2              0.048    0.031    1.577    0.115    0.048    0.080
##  .rsc3 ~~                                                               
##    .hsc3              0.104    0.043    2.407    0.016    0.104    0.116
##    .msc3             -0.001    0.044   -0.013    0.990   -0.001   -0.001
##    .ssc3              0.025    0.032    0.800    0.424    0.025    0.033
##  .hsc1 ~~                                                               
##    .msc1              0.048    0.033    1.429    0.153    0.048    0.070
##    .ssc1              0.039    0.031    1.254    0.210    0.039    0.055
##  .hsc2 ~~                                                               
##    .msc2              0.034    0.028    1.206    0.228    0.034    0.055
##    .ssc2              0.003    0.026    0.098    0.922    0.003    0.005
##  .hsc3 ~~                                                               
##    .msc3             -0.002    0.032   -0.059    0.953   -0.002   -0.003
##    .ssc3              0.045    0.030    1.481    0.139    0.045    0.060
##  .msc1 ~~                                                               
##    .ssc1             -0.036    0.061   -0.588    0.557   -0.036   -0.068
##  .msc2 ~~                                                               
##    .ssc2              0.066    0.031    2.166    0.030    0.066    0.127
##  .msc3 ~~                                                               
##    .ssc3              0.050    0.035    1.447    0.148    0.050    0.086
##   RSC ~~                                                                
##     HSC               0.113    0.331    0.342    0.732    0.113    0.113
##     MSC               0.076    0.267    0.283    0.777    0.076    0.076
##     SSC               0.011    0.104    0.110    0.912    0.011    0.011
##   HSC ~~                                                                
##     MSC              -0.057    0.064   -0.879    0.379   -0.057   -0.057
##     SSC               0.047    0.050    0.946    0.344    0.047    0.047
##   MSC ~~                                                                
##     SSC               0.387    0.169    2.289    0.022    0.387    0.387
##   VERBAL ~~                                                             
##     QUANT            -0.276    0.066   -4.170    0.000   -0.276   -0.276
## 
## Intercepts:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##    .rsc1              3.308    0.040   82.180    0.000    3.308    2.599
##    .rsc2              3.657    0.043   85.614    0.000    3.657    2.707
##    .rsc3              3.645    0.041   89.829    0.000    3.645    2.841
##    .hsc1              3.636    0.043   84.450    0.000    3.636    2.671
##    .hsc2              3.694    0.040   92.485    0.000    3.694    2.925
##    .hsc3              3.310    0.042   79.432    0.000    3.310    2.512
##    .msc1              3.349    0.044   75.865    0.000    3.349    2.399
##    .msc2              3.162    0.041   76.526    0.000    3.162    2.420
##    .msc3              3.528    0.041   85.908    0.000    3.528    2.717
##    .ssc1              3.269    0.044   74.427    0.000    3.269    2.354
##    .ssc2              3.130    0.042   74.562    0.000    3.130    2.358
##    .ssc3              3.419    0.040   86.383    0.000    3.419    2.732
##     RSC               0.000                               0.000    0.000
##     HSC               0.000                               0.000    0.000
##     MSC               0.000                               0.000    0.000
##     SSC               0.000                               0.000    0.000
##     VERBAL            0.000                               0.000    0.000
##     QUANT             0.000                               0.000    0.000
## 
## Variances:
##                    Estimate  Std.Err  z-value  P(>|z|)   Std.lv  Std.all
##     RSC               1.000                               1.000    1.000
##     HSC               1.000                               1.000    1.000
##     MSC               1.000                               1.000    1.000
##     SSC               1.000                               1.000    1.000
##     VERBAL            1.000                               1.000    1.000
##     QUANT             1.000                               1.000    1.000
##    .rsc1              0.205    3.796    0.054    0.957    0.205    0.127
##    .rsc2              0.828    0.102    8.098    0.000    0.828    0.454
##    .rsc3              0.931    0.099    9.368    0.000    0.931    0.565
##    .hsc1              0.919    0.060   15.216    0.000    0.919    0.496
##    .hsc2              0.607    0.052   11.674    0.000    0.607    0.381
##    .hsc3              0.869    0.057   15.243    0.000    0.869    0.500
##    .msc1              0.513    0.114    4.518    0.000    0.513    0.263
##    .msc2              0.624    0.072    8.720    0.000    0.624    0.365
##    .msc3              0.542    0.210    2.581    0.010    0.542    0.321
##    .ssc1              0.542    0.049   11.020    0.000    0.542    0.281
##    .ssc2              0.439    0.041   10.814    0.000    0.439    0.249
##    .ssc3              0.637    0.043   14.833    0.000    0.637    0.406

© Copyright 2024 @Yi Feng and @Gregory R. Hancock.