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 0.6-19 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|)
## RSC =~
## rsc1 -0.691 2.501 -0.276 0.782
## rsc2 0.137 0.469 0.292 0.771
## rsc3 0.208 0.550 0.379 0.705
## HSC =~
## hsc1 0.832 0.057 14.666 0.000
## hsc2 0.822 0.056 14.693 0.000
## hsc3 0.810 0.051 15.821 0.000
## MSC =~
## msc1 0.589 0.309 1.907 0.056
## msc2 0.705 0.275 2.563 0.010
## msc3 0.883 0.196 4.504 0.000
## SSC =~
## ssc1 0.909 0.084 10.879 0.000
## ssc2 0.967 0.084 11.496 0.000
## ssc3 0.853 0.082 10.414 0.000
## VERBAL =~
## rsc1 0.968 0.372 2.602 0.009
## rsc2 0.989 0.091 10.888 0.000
## rsc3 0.820 0.126 6.524 0.000
## hsc1 0.493 0.073 6.710 0.000
## hsc2 0.558 0.073 7.677 0.000
## hsc3 0.459 0.067 6.847 0.000
## QUANT =~
## msc1 1.044 0.195 5.351 0.000
## msc2 0.766 0.235 3.263 0.001
## msc3 0.604 0.230 2.631 0.009
## ssc1 0.749 0.095 7.923 0.000
## ssc2 0.623 0.130 4.785 0.000
## ssc3 0.450 0.131 3.444 0.001
## Std.lv Std.all
##
## -0.691 -0.543
## 0.137 0.101
## 0.208 0.162
##
## 0.832 0.611
## 0.822 0.651
## 0.810 0.615
##
## 0.589 0.422
## 0.705 0.540
## 0.883 0.680
##
## 0.909 0.654
## 0.967 0.729
## 0.853 0.681
##
## 0.968 0.761
## 0.989 0.732
## 0.820 0.639
## 0.493 0.362
## 0.558 0.442
## 0.459 0.349
##
## 1.044 0.748
## 0.766 0.586
## 0.604 0.465
## 0.749 0.539
## 0.623 0.469
## 0.450 0.360
##
## Covariances:
## Estimate Std.Err z-value P(>|z|)
## RSC ~~
## VERBAL 0.000
## HSC ~~
## VERBAL 0.000
## MSC ~~
## VERBAL 0.000
## SSC ~~
## VERBAL 0.000
## RSC ~~
## QUANT 0.000
## HSC ~~
## QUANT 0.000
## MSC ~~
## QUANT 0.000
## SSC ~~
## QUANT 0.000
## .rsc1 ~~
## .hsc1 0.144 0.048 3.010 0.003
## .msc1 0.005 0.071 0.073 0.941
## .ssc1 0.073 0.041 1.789 0.074
## .rsc2 ~~
## .hsc2 0.066 0.047 1.404 0.160
## .msc2 -0.030 0.040 -0.735 0.463
## .ssc2 0.048 0.031 1.577 0.115
## .rsc3 ~~
## .hsc3 0.104 0.043 2.407 0.016
## .msc3 -0.001 0.044 -0.013 0.990
## .ssc3 0.025 0.032 0.800 0.424
## .hsc1 ~~
## .msc1 0.048 0.033 1.429 0.153
## .ssc1 0.039 0.031 1.254 0.210
## .hsc2 ~~
## .msc2 0.034 0.028 1.206 0.228
## .ssc2 0.003 0.026 0.098 0.922
## .hsc3 ~~
## .msc3 -0.002 0.032 -0.059 0.953
## .ssc3 0.045 0.030 1.481 0.139
## .msc1 ~~
## .ssc1 -0.036 0.061 -0.588 0.557
## .msc2 ~~
## .ssc2 0.066 0.031 2.166 0.030
## .msc3 ~~
## .ssc3 0.050 0.035 1.447 0.148
## RSC ~~
## HSC 0.113 0.331 0.342 0.732
## MSC 0.076 0.267 0.283 0.777
## SSC 0.011 0.104 0.110 0.912
## HSC ~~
## MSC -0.057 0.064 -0.879 0.379
## SSC 0.047 0.050 0.946 0.344
## MSC ~~
## SSC 0.387 0.169 2.289 0.022
## VERBAL ~~
## QUANT -0.276 0.066 -4.170 0.000
## Std.lv Std.all
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.000 0.000
##
## 0.144 0.332
## 0.005 0.016
## 0.073 0.219
##
## 0.066 0.093
## -0.030 -0.041
## 0.048 0.080
##
## 0.104 0.116
## -0.001 -0.001
## 0.025 0.033
##
## 0.048 0.070
## 0.039 0.055
##
## 0.034 0.055
## 0.003 0.005
##
## -0.002 -0.003
## 0.045 0.060
##
## -0.036 -0.068
##
## 0.066 0.127
##
## 0.050 0.086
##
## 0.113 0.113
## 0.076 0.076
## 0.011 0.011
##
## -0.057 -0.057
## 0.047 0.047
##
## 0.387 0.387
##
## -0.276 -0.276
##
## Intercepts:
## Estimate Std.Err z-value P(>|z|)
## .rsc1 3.308 0.040 82.180 0.000
## .rsc2 3.657 0.043 85.614 0.000
## .rsc3 3.645 0.041 89.829 0.000
## .hsc1 3.636 0.043 84.450 0.000
## .hsc2 3.694 0.040 92.485 0.000
## .hsc3 3.310 0.042 79.432 0.000
## .msc1 3.349 0.044 75.865 0.000
## .msc2 3.162 0.041 76.526 0.000
## .msc3 3.528 0.041 85.908 0.000
## .ssc1 3.269 0.044 74.427 0.000
## .ssc2 3.130 0.042 74.562 0.000
## .ssc3 3.419 0.040 86.383 0.000
## Std.lv Std.all
## 3.308 2.599
## 3.657 2.707
## 3.645 2.841
## 3.636 2.671
## 3.694 2.925
## 3.310 2.512
## 3.349 2.399
## 3.162 2.420
## 3.528 2.717
## 3.269 2.354
## 3.130 2.358
## 3.419 2.732
##
## Variances:
## Estimate Std.Err z-value P(>|z|)
## RSC 1.000
## HSC 1.000
## MSC 1.000
## SSC 1.000
## VERBAL 1.000
## QUANT 1.000
## .rsc1 0.205 3.796 0.054 0.957
## .rsc2 0.828 0.102 8.098 0.000
## .rsc3 0.931 0.099 9.368 0.000
## .hsc1 0.919 0.060 15.216 0.000
## .hsc2 0.607 0.052 11.674 0.000
## .hsc3 0.869 0.057 15.243 0.000
## .msc1 0.513 0.114 4.518 0.000
## .msc2 0.624 0.072 8.720 0.000
## .msc3 0.542 0.210 2.581 0.010
## .ssc1 0.542 0.049 11.020 0.000
## .ssc2 0.439 0.041 10.814 0.000
## .ssc3 0.637 0.043 14.833 0.000
## Std.lv Std.all
## 1.000 1.000
## 1.000 1.000
## 1.000 1.000
## 1.000 1.000
## 1.000 1.000
## 1.000 1.000
## 0.205 0.127
## 0.828 0.454
## 0.931 0.565
## 0.919 0.496
## 0.607 0.381
## 0.869 0.500
## 0.513 0.263
## 0.624 0.365
## 0.542 0.321
## 0.542 0.281
## 0.439 0.249
## 0.637 0.406
© Copyright 2025
@Yi Feng
and
@Gregory R. Hancock.