BASED ON PAPER: A Model for Parenting Risk and Resilience, Social-emotional Readiness, and Reading Achievement in Kindergarten Children from Low-income Families Model
Author(s): Sondra Smith-Adcock, Walter Leite, Yasemine Kaya, & Ellen Amatea.
Source: Journal of Child and Family Studies, vol 28(Oct., 2019), pp. 2826-2841
Published by: Springer Nature in Journal of Child and Family studies, doi:10.1007/s10826-019-01462-0
This example sensitivity analysis uses the published data and model from Smith-Adcock, Leite, Kaya & Amatea(2019). We use the original data with categorical variables, set up the lavaan models for their original model and the sensitivity model, run the analysis, and view the results.
# Load lavaan and SEMsens packages
require(lavaan)
require(SEMsens)
set.seed(1)Smith-Adcock et. al (2019) shared the raw data and codebook, so we load the data with their names, and create names for categorical variables.
smith10.use <- data(smith19.use, package = "SEMsens")
#Indicate the ordinal variables and then factorize these variables
factornames <- c("P2BEPARN", "P2CHDOES","P2HRDWRM","P2FLTRAP","P2FEELAN","P2CHHARD",
"P2MOREWK", "P2HITCHO","P2HITAPO","P2HITPRV","P2HITWAR","P2ATTENB",
"P2ATTENP", "P2PARADV","P2PARGRP","P2ATTENS","P2VOLUNT","P2FUNDRS",
"P2TVRULE", "P2TVRUL3","P2TVRUL2","P1TELLST","P1SINGSO","P1HELPAR",
"P1CHORES", "P1GAMES","P1NATURE","P1BUILD","P1SPORT","P2LIBRAR",
"P2CONCRT", "P2MUSEUM","P2ZOO")The SEMsens package requires both an original model and a sensitivity model using the lavaan model syntax. We first mimic the original Mplus model based on the article, and then adding phantom variables (phantom1, phantom2, etc.) for every latent variable into that model to create sensitivity model.
Note: Since we have categorical variables in the
model, while the lavaan package did not allow for multiple
imputation for missing data with categorical variables, so we have a
close mimic model, but not a perfect replication of the model in the
original article.
#A model mimicked from the original model in Smith-Adcock et al. (2019).
model1 <- "
# regressions
C2RSCALE~T2LEARN+T2EXTERN+T2INTERN+T2CONTRO+T2INTERP+f1+f2+f3+f4+f5+f6
T2LEARN~f1 +f2 +f3 +f4 +f5 +f6
T2EXTERN~f1 +f2 +f3 +f4 +f5 +f6
T2INTERN~f1 +f2 +f3 +f4 +f5 +f6
T2CONTRO~f1 +f2 +f3 +f4 +f5 +f6
T2INTERP~f1 +f2 +f3 +f4 +f5 +f6
# latent variables
f1=~P2BEPARN+P2CHDOES+P2HRDWRM+P2FLTRAP+P2FEELAN+P2CHHARD+P2MOREWK
f2=~P2HITCHO+P2HITAPO+P2HITPRV+P2HITWAR
f3=~P2ATTENB+P2ATTENP+P2PARADV+P2PARGRP+P2ATTENS+P2VOLUNT+P2FUNDRS
f4=~P2TVRULE+P2TVRUL3+P2TVRUL2
f5=~P1TELLST+P1SINGSO+P1HELPAR+P1CHORES+P1GAMES+P1NATURE+P1BUILD+P1SPORT
f6=~P2LIBRAR+P2CONCRT+P2MUSEUM+P2ZOO
# residual correlations
T2LEARN ~~ T2EXTERN+T2INTERN+T2CONTRO+T2INTERP
T2EXTERN ~~ T2INTERN+T2CONTRO+T2INTERP
T2INTERN ~~ T2CONTRO+T2INTERP
T2CONTRO ~~ T2INTERP
f1 ~~ f2+f3+f4+f5+f6
f2 ~~ f3+f4+f5+f6
f3 ~~ f4+f5+f6
f4 ~~ f5+f6
f5 ~~ f6
"
#The sensitivity model
#This sensitivity model used 6 phantom variables for a quicker result
sens.model1 <- '
# regressions
C2RSCALE~T2LEARN+T2EXTERN+T2INTERN+T2CONTRO+T2INTERP+f1+f2+f3+f4+f5+f6
T2LEARN~f1 +f2 +f3 +f4 +f5 +f6
T2EXTERN~f1 +f2 +f3 +f4 +f5 +f6
T2INTERN~f1 +f2 +f3 +f4 +f5 +f6
T2CONTRO~f1 +f2 +f3 +f4 +f5 +f6
T2INTERP~f1 +f2 +f3 +f4 +f5 +f6
# latent variable definitions
f1=~P2BEPARN+P2CHDOES+P2HRDWRM+P2FLTRAP+P2FEELAN+P2CHHARD+P2MOREWK
f2=~P2HITCHO+P2HITAPO+P2HITPRV+P2HITWAR
f3=~P2ATTENB+P2ATTENP+P2PARADV+P2PARGRP+P2ATTENS+P2VOLUNT+P2FUNDRS
f4=~P2TVRULE+P2TVRUL3+P2TVRUL2
f5=~P1TELLST+P1SINGSO+P1HELPAR+P1CHORES+P1GAMES+P1NATURE+P1BUILD+P1SPORT
f6=~P2LIBRAR+P2CONCRT+P2MUSEUM+P2ZOO
# residual correlations
T2LEARN ~~ T2EXTERN+T2INTERN+T2CONTRO+T2INTERP
T2EXTERN ~~ T2INTERN+T2CONTRO+T2INTERP
T2INTERN ~~ T2CONTRO+T2INTERP
T2CONTRO ~~ T2INTERP
f1 ~~ f2+f3+f4+f5+f6
f2 ~~ f3+f4+f5+f6
f3 ~~ f4+f5+f6
f4 ~~ f5+f6
f5 ~~ f6
# phantom variables
T2LEARN ~ phantom1*phantom
T2EXTERN ~ phantom2*phantom
C2RSCALE ~ phantom3*phantom
f3 ~ phantom4*phantom
f4 ~ phantom5*phantom
f5 ~ phantom6*phantom
phantom =~ 0 # added for mean of zero
phantom ~~ 1*phantom # added for unit variance
'Before running the analysis, it is recommended to identify the rows in the lavaan parameter table that include the paths we are interested in looking at in the analysis. The rows that we are interested will be used for the next step.
old.model = model1
old.out = sem(model = model1, data = smith19.use, estimator="WLSMV",ordered = factornames)
summary(old.out, standardized=TRUE)## lavaan 0.6-11 ended normally after 213 iterations
##
## Estimator DWLS
## Optimization method NLMINB
## Number of model parameters 174
##
## Used Total
## Number of observations 2466 3444
##
## Model Test User Model:
## Standard Robust
## Test Statistic 1250.335 1283.613
## Degrees of freedom 642 642
## P-value (Chi-square) 0.000 0.000
## Scaling correction factor 1.123
## Shift parameter 170.602
## simple second-order correction
##
## Parameter Estimates:
##
## Standard errors Robust.sem
## Information Expected
## Information saturated (h1) model Unstructured
##
## Latent Variables:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## f1 =~
## P2BEPARN 1.000 0.544 0.544
## P2CHDOES 1.267 0.062 20.337 0.000 0.690 0.690
## P2HRDWRM 0.889 0.059 15.004 0.000 0.484 0.484
## P2FLTRAP 1.306 0.066 19.707 0.000 0.711 0.711
## P2FEELAN 1.161 0.062 18.712 0.000 0.632 0.632
## P2CHHARD 1.353 0.073 18.616 0.000 0.737 0.737
## P2MOREWK 1.214 0.060 20.309 0.000 0.661 0.661
## f2 =~
## P2HITCHO 1.000 0.768 0.768
## P2HITAPO 0.943 0.062 15.244 0.000 0.724 0.724
## P2HITPRV 0.775 0.052 14.778 0.000 0.595 0.595
## P2HITWAR 0.951 0.068 13.961 0.000 0.730 0.730
## f3 =~
## P2ATTENB 1.000 0.564 0.564
## P2ATTENP 0.869 0.075 11.636 0.000 0.490 0.490
## P2PARADV 0.691 0.096 7.230 0.000 0.390 0.390
## P2PARGRP 0.669 0.074 9.043 0.000 0.377 0.377
## P2ATTENS 1.102 0.083 13.305 0.000 0.621 0.621
## P2VOLUNT 1.110 0.084 13.266 0.000 0.626 0.626
## P2FUNDRS 0.928 0.077 12.090 0.000 0.523 0.523
## f4 =~
## P2TVRULE 1.000 0.831 0.831
## P2TVRUL3 0.923 0.049 18.812 0.000 0.767 0.767
## P2TVRUL2 0.969 0.056 17.397 0.000 0.805 0.805
## f5 =~
## P1TELLST 1.000 0.585 0.585
## P1SINGSO 0.849 0.045 18.743 0.000 0.496 0.496
## P1HELPAR 0.904 0.044 20.671 0.000 0.528 0.528
## P1CHORES 0.710 0.047 15.210 0.000 0.415 0.415
## P1GAMES 1.024 0.045 22.755 0.000 0.599 0.599
## P1NATURE 0.944 0.045 20.986 0.000 0.552 0.552
## P1BUILD 0.916 0.043 21.075 0.000 0.536 0.536
## P1SPORT 0.821 0.043 19.015 0.000 0.480 0.480
## f6 =~
## P2LIBRAR 1.000 0.593 0.593
## P2CONCRT 0.936 0.081 11.560 0.000 0.555 0.555
## P2MUSEUM 1.031 0.085 12.126 0.000 0.611 0.611
## P2ZOO 0.858 0.077 11.196 0.000 0.508 0.508
##
## Regressions:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## C2RSCALE ~
## T2LEARN 6.046 0.290 20.841 0.000 6.046 0.485
## T2EXTERN 0.589 0.363 1.623 0.105 0.589 0.045
## T2INTERN 0.058 0.306 0.190 0.849 0.058 0.004
## T2CONTRO -1.077 0.481 -2.237 0.025 -1.077 -0.079
## T2INTERP -0.340 0.395 -0.862 0.389 -0.340 -0.025
## f1 -0.271 0.396 -0.685 0.494 -0.148 -0.017
## f2 -0.540 0.320 -1.688 0.091 -0.415 -0.048
## f3 2.306 0.532 4.338 0.000 1.301 0.150
## f4 0.458 0.278 1.646 0.100 0.381 0.044
## f5 0.026 0.401 0.064 0.949 0.015 0.002
## f6 -0.964 0.630 -1.529 0.126 -0.571 -0.066
## T2LEARN ~
## f1 -0.149 0.033 -4.522 0.000 -0.081 -0.116
## f2 -0.035 0.028 -1.254 0.210 -0.027 -0.038
## f3 0.137 0.048 2.847 0.004 0.077 0.111
## f4 0.004 0.025 0.180 0.857 0.004 0.005
## f5 0.050 0.033 1.506 0.132 0.029 0.042
## f6 -0.036 0.052 -0.684 0.494 -0.021 -0.031
## T2EXTERN ~
## f1 0.195 0.031 6.260 0.000 0.106 0.158
## f2 0.030 0.026 1.145 0.252 0.023 0.035
## f3 -0.148 0.045 -3.268 0.001 -0.084 -0.125
## f4 0.010 0.024 0.416 0.677 0.008 0.012
## f5 0.036 0.033 1.093 0.274 0.021 0.031
## f6 0.032 0.052 0.616 0.538 0.019 0.028
## T2INTERN ~
## f1 0.007 0.026 0.251 0.802 0.004 0.006
## f2 0.032 0.022 1.448 0.148 0.025 0.045
## f3 -0.053 0.036 -1.469 0.142 -0.030 -0.055
## f4 0.009 0.019 0.482 0.630 0.008 0.014
## f5 -0.001 0.026 -0.054 0.957 -0.001 -0.002
## f6 -0.030 0.040 -0.757 0.449 -0.018 -0.033
## T2CONTRO ~
## f1 -0.168 0.030 -5.616 0.000 -0.091 -0.145
## f2 -0.017 0.025 -0.679 0.497 -0.013 -0.021
## f3 0.134 0.044 3.061 0.002 0.076 0.120
## f4 -0.000 0.023 -0.005 0.996 -0.000 -0.000
## f5 -0.004 0.031 -0.125 0.900 -0.002 -0.004
## f6 -0.057 0.050 -1.147 0.252 -0.034 -0.053
## T2INTERP ~
## f1 -0.160 0.030 -5.351 0.000 -0.087 -0.137
## f2 -0.020 0.025 -0.814 0.415 -0.016 -0.025
## f3 0.176 0.043 4.056 0.000 0.100 0.157
## f4 -0.003 0.023 -0.131 0.896 -0.002 -0.004
## f5 0.021 0.030 0.675 0.500 0.012 0.019
## f6 -0.062 0.047 -1.317 0.188 -0.037 -0.058
##
## Covariances:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## .T2LEARN ~~
## .T2EXTERN -0.213 0.011 -19.226 0.000 -0.213 -0.474
## .T2INTERN -0.126 0.008 -15.626 0.000 -0.126 -0.338
## .T2CONTRO 0.273 0.013 21.404 0.000 0.273 0.640
## .T2INTERP 0.294 0.013 22.440 0.000 0.294 0.690
## .T2EXTERN ~~
## .T2INTERN 0.097 0.007 14.364 0.000 0.097 0.271
## .T2CONTRO -0.285 0.011 -25.661 0.000 -0.285 -0.700
## .T2INTERP -0.235 0.010 -22.582 0.000 -0.235 -0.579
## .T2INTERN ~~
## .T2CONTRO -0.085 0.007 -11.986 0.000 -0.085 -0.252
## .T2INTERP -0.109 0.007 -15.324 0.000 -0.109 -0.323
## .T2CONTRO ~~
## .T2INTERP 0.301 0.012 24.684 0.000 0.301 0.780
## f1 ~~
## f2 0.038 0.015 2.596 0.009 0.090 0.090
## f3 -0.048 0.010 -4.903 0.000 -0.156 -0.156
## f4 -0.015 0.015 -1.005 0.315 -0.033 -0.033
## f5 -0.064 0.009 -6.772 0.000 -0.201 -0.201
## f6 -0.038 0.012 -3.128 0.002 -0.119 -0.119
## f2 ~~
## f3 0.082 0.016 5.055 0.000 0.190 0.190
## f4 0.112 0.025 4.559 0.000 0.176 0.176
## f5 0.016 0.014 1.080 0.280 0.035 0.035
## f6 0.029 0.018 1.639 0.101 0.064 0.064
## f3 ~~
## f4 0.105 0.018 5.975 0.000 0.224 0.224
## f5 0.083 0.011 7.360 0.000 0.250 0.250
## f6 0.171 0.017 9.952 0.000 0.511 0.511
## f4 ~~
## f5 0.073 0.015 4.763 0.000 0.151 0.151
## f6 0.142 0.021 6.844 0.000 0.289 0.289
## f5 ~~
## f6 0.138 0.014 9.651 0.000 0.398 0.398
##
## Intercepts:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## .P2BEPARN 0.000 0.000 0.000
## .P2CHDOES 0.000 0.000 0.000
## .P2HRDWRM 0.000 0.000 0.000
## .P2FLTRAP 0.000 0.000 0.000
## .P2FEELAN 0.000 0.000 0.000
## .P2CHHARD 0.000 0.000 0.000
## .P2MOREWK 0.000 0.000 0.000
## .P2HITCHO 0.000 0.000 0.000
## .P2HITAPO 0.000 0.000 0.000
## .P2HITPRV 0.000 0.000 0.000
## .P2HITWAR 0.000 0.000 0.000
## .P2ATTENB 0.000 0.000 0.000
## .P2ATTENP 0.000 0.000 0.000
## .P2PARADV 0.000 0.000 0.000
## .P2PARGRP 0.000 0.000 0.000
## .P2ATTENS 0.000 0.000 0.000
## .P2VOLUNT 0.000 0.000 0.000
## .P2FUNDRS 0.000 0.000 0.000
## .P2TVRULE 0.000 0.000 0.000
## .P2TVRUL3 0.000 0.000 0.000
## .P2TVRUL2 0.000 0.000 0.000
## .P1TELLST 0.000 0.000 0.000
## .P1SINGSO 0.000 0.000 0.000
## .P1HELPAR 0.000 0.000 0.000
## .P1CHORES 0.000 0.000 0.000
## .P1GAMES 0.000 0.000 0.000
## .P1NATURE 0.000 0.000 0.000
## .P1BUILD 0.000 0.000 0.000
## .P1SPORT 0.000 0.000 0.000
## .P2LIBRAR 0.000 0.000 0.000
## .P2CONCRT 0.000 0.000 0.000
## .P2MUSEUM 0.000 0.000 0.000
## .P2ZOO 0.000 0.000 0.000
## .C2RSCALE 13.381 1.714 7.805 0.000 13.381 1.541
## .T2LEARN 3.006 0.015 205.268 0.000 3.006 4.313
## .T2EXTERN 1.716 0.017 99.092 0.000 1.716 2.566
## .T2INTERN 1.620 0.014 119.690 0.000 1.620 2.958
## .T2CONTRO 3.102 0.014 229.397 0.000 3.102 4.901
## .T2INTERP 3.037 0.013 232.253 0.000 3.037 4.787
## f1 0.000 0.000 0.000
## f2 0.000 0.000 0.000
## f3 0.000 0.000 0.000
## f4 0.000 0.000 0.000
## f5 0.000 0.000 0.000
## f6 0.000 0.000 0.000
##
## Thresholds:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## P2BEPARN|t1 -0.642 0.027 -23.588 0.000 -0.642 -0.642
## P2BEPARN|t2 0.043 0.025 1.691 0.091 0.043 0.043
## P2BEPARN|t3 0.282 0.026 11.019 0.000 0.282 0.282
## P2CHDOES|t1 -0.174 0.025 -6.842 0.000 -0.174 -0.174
## P2CHDOES|t2 1.063 0.031 34.090 0.000 1.063 1.063
## P2CHDOES|t3 1.392 0.036 38.149 0.000 1.392 1.392
## P2HRDWRM|t1 0.581 0.027 21.635 0.000 0.581 0.581
## P2HRDWRM|t2 1.236 0.034 36.709 0.000 1.236 1.236
## P2HRDWRM|t3 1.634 0.042 38.668 0.000 1.634 1.634
## P2FLTRAP|t1 0.864 0.029 29.805 0.000 0.864 0.864
## P2FLTRAP|t2 1.445 0.038 38.437 0.000 1.445 1.445
## P2FLTRAP|t3 1.713 0.045 38.415 0.000 1.713 1.713
## P2FEELAN|t1 0.626 0.027 23.082 0.000 0.626 0.626
## P2FEELAN|t2 1.899 0.051 37.073 0.000 1.899 1.899
## P2FEELAN|t3 2.352 0.077 30.470 0.000 2.352 2.352
## P2CHHARD|t1 1.177 0.033 35.937 0.000 1.177 1.177
## P2CHHARD|t2 1.749 0.046 38.233 0.000 1.749 1.749
## P2CHHARD|t3 2.110 0.061 34.479 0.000 2.110 2.110
## P2MOREWK|t1 0.630 0.027 23.199 0.000 0.630 0.630
## P2MOREWK|t2 1.269 0.034 37.090 0.000 1.269 1.269
## P2MOREWK|t3 1.558 0.040 38.722 0.000 1.558 1.558
## P2HITCHO|t1 1.351 0.036 37.852 0.000 1.351 1.351
## P2HITAPO|t1 0.574 0.027 21.400 0.000 0.574 0.574
## P2HITPRV|t1 0.439 0.026 16.773 0.000 0.439 0.439
## P2HITWAR|t1 1.086 0.031 34.509 0.000 1.086 1.086
## P2ATTENB|t1 -0.159 0.025 -6.279 0.000 -0.159 -0.159
## P2ATTENP|t1 0.656 0.027 24.015 0.000 0.656 0.656
## P2PARADV|t1 1.630 0.042 38.675 0.000 1.630 1.630
## P2PARGRP|t1 -0.666 0.027 -24.324 0.000 -0.666 -0.666
## P2ATTENS|t1 0.004 0.025 0.161 0.872 0.004 0.004
## P2VOLUNT|t1 0.610 0.027 22.575 0.000 0.610 0.610
## P2FUNDRS|t1 0.221 0.025 8.691 0.000 0.221 0.221
## P2TVRULE|t1 -0.971 0.030 -32.271 0.000 -0.971 -0.971
## P2TVRUL3|t1 -0.027 0.025 -1.087 0.277 -0.027 -0.027
## P2TVRUL2|t1 -0.923 0.030 -31.214 0.000 -0.923 -0.923
## P1TELLST|t1 -1.311 0.035 -37.514 0.000 -1.311 -1.311
## P1TELLST|t2 0.035 0.025 1.369 0.171 0.035 0.035
## P1TELLST|t3 0.735 0.028 26.361 0.000 0.735 0.735
## P1SINGSO|t1 -1.457 0.038 -38.487 0.000 -1.457 -1.457
## P1SINGSO|t2 -0.464 0.026 -17.687 0.000 -0.464 -0.464
## P1SINGSO|t3 0.102 0.025 4.026 0.000 0.102 0.102
## P1HELPAR|t1 -1.181 0.033 -35.995 0.000 -1.181 -1.181
## P1HELPAR|t2 0.042 0.025 1.651 0.099 0.042 0.042
## P1HELPAR|t3 0.744 0.028 26.627 0.000 0.744 0.744
## P1CHORES|t1 -1.608 0.042 -38.709 0.000 -1.608 -1.608
## P1CHORES|t2 -0.639 0.027 -23.471 0.000 -0.639 -0.639
## P1CHORES|t3 -0.124 0.025 -4.911 0.000 -0.124 -0.124
## P1GAMES|t1 -1.512 0.039 -38.659 0.000 -1.512 -1.512
## P1GAMES|t2 -0.119 0.025 -4.710 0.000 -0.119 -0.119
## P1GAMES|t3 0.700 0.028 25.327 0.000 0.700 0.700
## P1NATURE|t1 -0.476 0.026 -18.084 0.000 -0.476 -0.476
## P1NATURE|t2 0.700 0.028 25.327 0.000 0.700 0.700
## P1NATURE|t3 1.358 0.036 37.911 0.000 1.358 1.358
## P1BUILD|t1 -0.763 0.028 -27.158 0.000 -0.763 -0.763
## P1BUILD|t2 0.358 0.026 13.862 0.000 0.358 0.358
## P1BUILD|t3 1.022 0.031 33.330 0.000 1.022 1.022
## P1SPORT|t1 -1.109 0.032 -34.887 0.000 -1.109 -1.109
## P1SPORT|t2 -0.054 0.025 -2.134 0.033 -0.054 -0.054
## P1SPORT|t3 0.626 0.027 23.082 0.000 0.626 0.626
## P2LIBRAR|t1 0.268 0.026 10.497 0.000 0.268 0.268
## P2CONCRT|t1 0.534 0.027 20.062 0.000 0.534 0.534
## P2MUSEUM|t1 0.829 0.029 28.920 0.000 0.829 0.829
## P2ZOO|t1 0.375 0.026 14.461 0.000 0.375 0.375
##
## Variances:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## .P2BEPARN 0.704 0.704 0.704
## .P2CHDOES 0.524 0.524 0.524
## .P2HRDWRM 0.766 0.766 0.766
## .P2FLTRAP 0.494 0.494 0.494
## .P2FEELAN 0.601 0.601 0.601
## .P2CHHARD 0.457 0.457 0.457
## .P2MOREWK 0.563 0.563 0.563
## .P2HITCHO 0.411 0.411 0.411
## .P2HITAPO 0.476 0.476 0.476
## .P2HITPRV 0.646 0.646 0.646
## .P2HITWAR 0.467 0.467 0.467
## .P2ATTENB 0.682 0.682 0.682
## .P2ATTENP 0.760 0.760 0.760
## .P2PARADV 0.848 0.848 0.848
## .P2PARGRP 0.858 0.858 0.858
## .P2ATTENS 0.614 0.614 0.614
## .P2VOLUNT 0.608 0.608 0.608
## .P2FUNDRS 0.726 0.726 0.726
## .P2TVRULE 0.309 0.309 0.309
## .P2TVRUL3 0.412 0.412 0.412
## .P2TVRUL2 0.352 0.352 0.352
## .P1TELLST 0.658 0.658 0.658
## .P1SINGSO 0.754 0.754 0.754
## .P1HELPAR 0.721 0.721 0.721
## .P1CHORES 0.828 0.828 0.828
## .P1GAMES 0.641 0.641 0.641
## .P1NATURE 0.696 0.696 0.696
## .P1BUILD 0.713 0.713 0.713
## .P1SPORT 0.769 0.769 0.769
## .P2LIBRAR 0.649 0.649 0.649
## .P2CONCRT 0.692 0.692 0.692
## .P2MUSEUM 0.626 0.626 0.626
## .P2ZOO 0.741 0.741 0.741
## .C2RSCALE 60.494 1.537 39.371 0.000 60.494 0.803
## .T2LEARN 0.470 0.018 26.106 0.000 0.470 0.968
## .T2EXTERN 0.429 0.013 32.729 0.000 0.429 0.959
## .T2INTERN 0.298 0.008 38.491 0.000 0.298 0.993
## .T2CONTRO 0.387 0.014 27.726 0.000 0.387 0.965
## .T2INTERP 0.385 0.014 27.826 0.000 0.385 0.956
## f1 0.296 0.024 12.551 0.000 1.000 1.000
## f2 0.589 0.061 9.696 0.000 1.000 1.000
## f3 0.318 0.034 9.248 0.000 1.000 1.000
## f4 0.691 0.049 13.969 0.000 1.000 1.000
## f5 0.342 0.022 15.270 0.000 1.000 1.000
## f6 0.351 0.039 8.903 0.000 1.000 1.000
##
## Scales y*:
## Estimate Std.Err z-value P(>|z|) Std.lv Std.all
## P2BEPARN 1.000 1.000 1.000
## P2CHDOES 1.000 1.000 1.000
## P2HRDWRM 1.000 1.000 1.000
## P2FLTRAP 1.000 1.000 1.000
## P2FEELAN 1.000 1.000 1.000
## P2CHHARD 1.000 1.000 1.000
## P2MOREWK 1.000 1.000 1.000
## P2HITCHO 1.000 1.000 1.000
## P2HITAPO 1.000 1.000 1.000
## P2HITPRV 1.000 1.000 1.000
## P2HITWAR 1.000 1.000 1.000
## P2ATTENB 1.000 1.000 1.000
## P2ATTENP 1.000 1.000 1.000
## P2PARADV 1.000 1.000 1.000
## P2PARGRP 1.000 1.000 1.000
## P2ATTENS 1.000 1.000 1.000
## P2VOLUNT 1.000 1.000 1.000
## P2FUNDRS 1.000 1.000 1.000
## P2TVRULE 1.000 1.000 1.000
## P2TVRUL3 1.000 1.000 1.000
## P2TVRUL2 1.000 1.000 1.000
## P1TELLST 1.000 1.000 1.000
## P1SINGSO 1.000 1.000 1.000
## P1HELPAR 1.000 1.000 1.000
## P1CHORES 1.000 1.000 1.000
## P1GAMES 1.000 1.000 1.000
## P1NATURE 1.000 1.000 1.000
## P1BUILD 1.000 1.000 1.000
## P1SPORT 1.000 1.000 1.000
## P2LIBRAR 1.000 1.000 1.000
## P2CONCRT 1.000 1.000 1.000
## P2MUSEUM 1.000 1.000 1.000
## P2ZOO 1.000 1.000 1.000old.model.par <- standardizedSolution(old.out,type = "std.all")
old.model.par## lhs op rhs est.std se z pvalue ci.lower ci.upper
## 1 C2RSCALE ~ T2LEARN 0.485 0.023 21.425 0.000 0.441 0.530
## 2 C2RSCALE ~ T2EXTERN 0.045 0.028 1.622 0.105 -0.009 0.100
## 3 C2RSCALE ~ T2INTERN 0.004 0.019 0.190 0.849 -0.034 0.042
## 4 C2RSCALE ~ T2CONTRO -0.079 0.035 -2.226 0.026 -0.148 -0.009
## 5 C2RSCALE ~ T2INTERP -0.025 0.029 -0.862 0.388 -0.081 0.032
## 6 C2RSCALE ~ f1 -0.017 0.025 -0.685 0.493 -0.066 0.032
## 7 C2RSCALE ~ f2 -0.048 0.028 -1.692 0.091 -0.103 0.008
## 8 C2RSCALE ~ f3 0.150 0.033 4.478 0.000 0.084 0.215
## 9 C2RSCALE ~ f4 0.044 0.027 1.651 0.099 -0.008 0.096
## 10 C2RSCALE ~ f5 0.002 0.027 0.064 0.949 -0.051 0.055
## 11 C2RSCALE ~ f6 -0.066 0.043 -1.535 0.125 -0.150 0.018
## 12 T2LEARN ~ f1 -0.116 0.025 -4.636 0.000 -0.165 -0.067
## 13 T2LEARN ~ f2 -0.038 0.030 -1.255 0.210 -0.098 0.022
## 14 T2LEARN ~ f3 0.111 0.038 2.901 0.004 0.036 0.185
## 15 T2LEARN ~ f4 0.005 0.030 0.180 0.857 -0.053 0.063
## 16 T2LEARN ~ f5 0.042 0.028 1.506 0.132 -0.013 0.097
## 17 T2LEARN ~ f6 -0.031 0.045 -0.685 0.493 -0.118 0.057
## 18 T2EXTERN ~ f1 0.158 0.024 6.518 0.000 0.111 0.206
## 19 T2EXTERN ~ f2 0.035 0.030 1.146 0.252 -0.025 0.094
## 20 T2EXTERN ~ f3 -0.125 0.038 -3.336 0.001 -0.199 -0.052
## 21 T2EXTERN ~ f4 0.012 0.029 0.416 0.677 -0.046 0.070
## 22 T2EXTERN ~ f5 0.031 0.028 1.096 0.273 -0.025 0.087
## 23 T2EXTERN ~ f6 0.028 0.046 0.617 0.538 -0.062 0.118
## 24 T2INTERN ~ f1 0.006 0.026 0.251 0.802 -0.044 0.057
## 25 T2INTERN ~ f2 0.045 0.031 1.452 0.147 -0.016 0.105
## 26 T2INTERN ~ f3 -0.055 0.037 -1.476 0.140 -0.127 0.018
## 27 T2INTERN ~ f4 0.014 0.029 0.482 0.630 -0.042 0.070
## 28 T2INTERN ~ f5 -0.002 0.028 -0.054 0.957 -0.057 0.054
## 29 T2INTERN ~ f6 -0.033 0.043 -0.758 0.449 -0.118 0.052
## 30 T2CONTRO ~ f1 -0.145 0.025 -5.826 0.000 -0.193 -0.096
## 31 T2CONTRO ~ f2 -0.021 0.030 -0.679 0.497 -0.080 0.039
## 32 T2CONTRO ~ f3 0.120 0.038 3.130 0.002 0.045 0.195
## 33 T2CONTRO ~ f4 0.000 0.030 -0.005 0.996 -0.059 0.059
## 34 T2CONTRO ~ f5 -0.004 0.029 -0.125 0.900 -0.060 0.053
## 35 T2CONTRO ~ f6 -0.053 0.046 -1.150 0.250 -0.144 0.038
## 36 T2INTERP ~ f1 -0.137 0.025 -5.529 0.000 -0.186 -0.089
## 37 T2INTERP ~ f2 -0.025 0.030 -0.814 0.416 -0.084 0.035
## 38 T2INTERP ~ f3 0.157 0.037 4.210 0.000 0.084 0.230
## 39 T2INTERP ~ f4 -0.004 0.030 -0.131 0.896 -0.062 0.055
## 40 T2INTERP ~ f5 0.019 0.028 0.675 0.500 -0.036 0.074
## 41 T2INTERP ~ f6 -0.058 0.044 -1.324 0.185 -0.144 0.028
## 42 f1 =~ P2BEPARN 0.544 0.022 25.101 0.000 0.502 0.587
## 43 f1 =~ P2CHDOES 0.690 0.019 36.425 0.000 0.653 0.727
## 44 f1 =~ P2HRDWRM 0.484 0.026 18.369 0.000 0.433 0.536
## 45 f1 =~ P2FLTRAP 0.711 0.023 30.642 0.000 0.666 0.757
## 46 f1 =~ P2FEELAN 0.632 0.023 27.515 0.000 0.587 0.677
## 47 f1 =~ P2CHHARD 0.737 0.026 28.233 0.000 0.686 0.788
## 48 f1 =~ P2MOREWK 0.661 0.022 30.009 0.000 0.618 0.704
## 49 f2 =~ P2HITCHO 0.768 0.040 19.391 0.000 0.690 0.845
## 50 f2 =~ P2HITAPO 0.724 0.026 27.769 0.000 0.673 0.775
## 51 f2 =~ P2HITPRV 0.595 0.028 21.461 0.000 0.541 0.650
## 52 f2 =~ P2HITWAR 0.730 0.034 21.364 0.000 0.663 0.797
## 53 f3 =~ P2ATTENB 0.564 0.030 18.497 0.000 0.504 0.624
## 54 f3 =~ P2ATTENP 0.490 0.033 14.971 0.000 0.426 0.554
## 55 f3 =~ P2PARADV 0.390 0.049 7.947 0.000 0.293 0.486
## 56 f3 =~ P2PARGRP 0.377 0.036 10.349 0.000 0.306 0.449
## 57 f3 =~ P2ATTENS 0.621 0.029 21.247 0.000 0.564 0.679
## 58 f3 =~ P2VOLUNT 0.626 0.031 20.400 0.000 0.566 0.686
## 59 f3 =~ P2FUNDRS 0.523 0.031 17.105 0.000 0.463 0.583
## 60 f4 =~ P2TVRULE 0.831 0.030 27.938 0.000 0.773 0.889
## 61 f4 =~ P2TVRUL3 0.767 0.025 30.268 0.000 0.717 0.817
## 62 f4 =~ P2TVRUL2 0.805 0.030 26.967 0.000 0.747 0.864
## 63 f5 =~ P1TELLST 0.585 0.019 30.540 0.000 0.547 0.622
## 64 f5 =~ P1SINGSO 0.496 0.021 23.154 0.000 0.454 0.538
## 65 f5 =~ P1HELPAR 0.528 0.020 26.965 0.000 0.490 0.567
## 66 f5 =~ P1CHORES 0.415 0.023 17.675 0.000 0.369 0.461
## 67 f5 =~ P1GAMES 0.599 0.019 31.491 0.000 0.562 0.636
## 68 f5 =~ P1NATURE 0.552 0.020 27.965 0.000 0.513 0.590
## 69 f5 =~ P1BUILD 0.536 0.019 27.846 0.000 0.498 0.573
## 70 f5 =~ P1SPORT 0.480 0.020 23.556 0.000 0.440 0.520
## 71 f6 =~ P2LIBRAR 0.593 0.033 17.806 0.000 0.528 0.658
## 72 f6 =~ P2CONCRT 0.555 0.034 16.295 0.000 0.488 0.621
## 73 f6 =~ P2MUSEUM 0.611 0.034 17.999 0.000 0.545 0.678
## 74 f6 =~ P2ZOO 0.508 0.033 15.355 0.000 0.444 0.573
## 75 T2LEARN ~~ T2EXTERN -0.474 0.015 -31.483 0.000 -0.503 -0.444
## 76 T2LEARN ~~ T2INTERN -0.338 0.017 -19.877 0.000 -0.371 -0.305
## 77 T2LEARN ~~ T2CONTRO 0.640 0.012 53.526 0.000 0.617 0.664
## 78 T2LEARN ~~ T2INTERP 0.690 0.011 63.190 0.000 0.669 0.712
## 79 T2EXTERN ~~ T2INTERN 0.271 0.016 16.707 0.000 0.239 0.303
## 80 T2EXTERN ~~ T2CONTRO -0.700 0.010 -71.226 0.000 -0.719 -0.680
## 81 T2EXTERN ~~ T2INTERP -0.579 0.013 -44.553 0.000 -0.605 -0.554
## 82 T2INTERN ~~ T2CONTRO -0.252 0.019 -13.476 0.000 -0.289 -0.215
## 83 T2INTERN ~~ T2INTERP -0.323 0.017 -18.685 0.000 -0.357 -0.290
## 84 T2CONTRO ~~ T2INTERP 0.780 0.008 99.334 0.000 0.765 0.795
## 85 f1 ~~ f2 0.090 0.034 2.647 0.008 0.023 0.157
## 86 f1 ~~ f3 -0.156 0.031 -5.120 0.000 -0.216 -0.096
## 87 f1 ~~ f4 -0.033 0.033 -1.006 0.314 -0.099 0.032
## 88 f1 ~~ f5 -0.201 0.028 -7.248 0.000 -0.255 -0.147
## 89 f1 ~~ f6 -0.119 0.037 -3.170 0.002 -0.192 -0.045
## 90 f2 ~~ f3 0.190 0.035 5.347 0.000 0.120 0.259
## 91 f2 ~~ f4 0.176 0.037 4.773 0.000 0.103 0.248
## 92 f2 ~~ f5 0.035 0.032 1.084 0.278 -0.028 0.098
## 93 f2 ~~ f6 0.064 0.039 1.648 0.099 -0.012 0.141
## 94 f3 ~~ f4 0.224 0.034 6.586 0.000 0.157 0.290
## 95 f3 ~~ f5 0.250 0.030 8.359 0.000 0.192 0.309
## 96 f3 ~~ f6 0.511 0.035 14.490 0.000 0.442 0.580
## 97 f4 ~~ f5 0.151 0.031 4.892 0.000 0.090 0.211
## 98 f4 ~~ f6 0.289 0.038 7.524 0.000 0.214 0.364
## 99 f5 ~~ f6 0.398 0.033 12.069 0.000 0.333 0.462
## 100 P2BEPARN | t1 -0.642 0.027 -23.588 0.000 -0.696 -0.589
## 101 P2BEPARN | t2 0.043 0.025 1.691 0.091 -0.007 0.092
## 102 P2BEPARN | t3 0.282 0.026 11.019 0.000 0.232 0.332
## 103 P2CHDOES | t1 -0.174 0.025 -6.842 0.000 -0.223 -0.124
## 104 P2CHDOES | t2 1.063 0.031 34.090 0.000 1.002 1.124
## 105 P2CHDOES | t3 1.392 0.036 38.149 0.000 1.321 1.464
## 106 P2HRDWRM | t1 0.581 0.027 21.635 0.000 0.528 0.634
## 107 P2HRDWRM | t2 1.236 0.034 36.709 0.000 1.170 1.302
## 108 P2HRDWRM | t3 1.634 0.042 38.668 0.000 1.551 1.717
## 109 P2FLTRAP | t1 0.864 0.029 29.805 0.000 0.807 0.921
## 110 P2FLTRAP | t2 1.445 0.038 38.437 0.000 1.371 1.519
## 111 P2FLTRAP | t3 1.713 0.045 38.415 0.000 1.625 1.800
## 112 P2FEELAN | t1 0.626 0.027 23.082 0.000 0.573 0.679
## 113 P2FEELAN | t2 1.899 0.051 37.073 0.000 1.798 1.999
## 114 P2FEELAN | t3 2.352 0.077 30.470 0.000 2.201 2.504
## 115 P2CHHARD | t1 1.177 0.033 35.937 0.000 1.113 1.241
## 116 P2CHHARD | t2 1.749 0.046 38.233 0.000 1.659 1.839
## 117 P2CHHARD | t3 2.110 0.061 34.479 0.000 1.990 2.230
## 118 P2MOREWK | t1 0.630 0.027 23.199 0.000 0.577 0.683
## 119 P2MOREWK | t2 1.269 0.034 37.090 0.000 1.202 1.336
## 120 P2MOREWK | t3 1.558 0.040 38.722 0.000 1.479 1.637
## 121 P2HITCHO | t1 1.351 0.036 37.852 0.000 1.281 1.421
## 122 P2HITAPO | t1 0.574 0.027 21.400 0.000 0.521 0.626
## 123 P2HITPRV | t1 0.439 0.026 16.773 0.000 0.387 0.490
## 124 P2HITWAR | t1 1.086 0.031 34.509 0.000 1.025 1.148
## 125 P2ATTENB | t1 -0.159 0.025 -6.279 0.000 -0.209 -0.110
## 126 P2ATTENP | t1 0.656 0.027 24.015 0.000 0.603 0.710
## 127 P2PARADV | t1 1.630 0.042 38.675 0.000 1.548 1.713
## 128 P2PARGRP | t1 -0.666 0.027 -24.324 0.000 -0.720 -0.613
## 129 P2ATTENS | t1 0.004 0.025 0.161 0.872 -0.045 0.054
## 130 P2VOLUNT | t1 0.610 0.027 22.575 0.000 0.557 0.663
## 131 P2FUNDRS | t1 0.221 0.025 8.691 0.000 0.171 0.271
## 132 P2TVRULE | t1 -0.971 0.030 -32.271 0.000 -1.030 -0.912
## 133 P2TVRUL3 | t1 -0.027 0.025 -1.087 0.277 -0.077 0.022
## 134 P2TVRUL2 | t1 -0.923 0.030 -31.214 0.000 -0.981 -0.865
## 135 P1TELLST | t1 -1.311 0.035 -37.514 0.000 -1.380 -1.243
## 136 P1TELLST | t2 0.035 0.025 1.369 0.171 -0.015 0.084
## 137 P1TELLST | t3 0.735 0.028 26.361 0.000 0.680 0.790
## 138 P1SINGSO | t1 -1.457 0.038 -38.487 0.000 -1.531 -1.383
## 139 P1SINGSO | t2 -0.464 0.026 -17.687 0.000 -0.516 -0.413
## 140 P1SINGSO | t3 0.102 0.025 4.026 0.000 0.052 0.151
## 141 P1HELPAR | t1 -1.181 0.033 -35.995 0.000 -1.245 -1.117
## 142 P1HELPAR | t2 0.042 0.025 1.651 0.099 -0.008 0.091
## 143 P1HELPAR | t3 0.744 0.028 26.627 0.000 0.690 0.799
## 144 P1CHORES | t1 -1.608 0.042 -38.709 0.000 -1.689 -1.526
## 145 P1CHORES | t2 -0.639 0.027 -23.471 0.000 -0.692 -0.585
## 146 P1CHORES | t3 -0.124 0.025 -4.911 0.000 -0.174 -0.075
## 147 P1GAMES | t1 -1.512 0.039 -38.659 0.000 -1.588 -1.435
## 148 P1GAMES | t2 -0.119 0.025 -4.710 0.000 -0.169 -0.070
## 149 P1GAMES | t3 0.700 0.028 25.327 0.000 0.645 0.754
## 150 P1NATURE | t1 -0.476 0.026 -18.084 0.000 -0.527 -0.424
## 151 P1NATURE | t2 0.700 0.028 25.327 0.000 0.645 0.754
## 152 P1NATURE | t3 1.358 0.036 37.911 0.000 1.288 1.429
## 153 P1BUILD | t1 -0.763 0.028 -27.158 0.000 -0.818 -0.708
## 154 P1BUILD | t2 0.358 0.026 13.862 0.000 0.308 0.409
## 155 P1BUILD | t3 1.022 0.031 33.330 0.000 0.962 1.083
## 156 P1SPORT | t1 -1.109 0.032 -34.887 0.000 -1.171 -1.046
## 157 P1SPORT | t2 -0.054 0.025 -2.134 0.033 -0.103 -0.004
## 158 P1SPORT | t3 0.626 0.027 23.082 0.000 0.573 0.679
## 159 P2LIBRAR | t1 0.268 0.026 10.497 0.000 0.218 0.319
## 160 P2CONCRT | t1 0.534 0.027 20.062 0.000 0.481 0.586
## 161 P2MUSEUM | t1 0.829 0.029 28.920 0.000 0.773 0.885
## 162 P2ZOO | t1 0.375 0.026 14.461 0.000 0.324 0.425
## 163 P2BEPARN ~~ P2BEPARN 0.704 0.024 29.802 0.000 0.657 0.750
## 164 P2CHDOES ~~ P2CHDOES 0.524 0.026 20.052 0.000 0.473 0.575
## 165 P2HRDWRM ~~ P2HRDWRM 0.766 0.026 29.988 0.000 0.716 0.816
## 166 P2FLTRAP ~~ P2FLTRAP 0.494 0.033 14.970 0.000 0.430 0.559
## 167 P2FEELAN ~~ P2FEELAN 0.601 0.029 20.680 0.000 0.544 0.657
## 168 P2CHHARD ~~ P2CHHARD 0.457 0.038 11.897 0.000 0.382 0.533
## 169 P2MOREWK ~~ P2MOREWK 0.563 0.029 19.344 0.000 0.506 0.620
## 170 P2HITCHO ~~ P2HITCHO 0.411 0.061 6.756 0.000 0.292 0.530
## 171 P2HITAPO ~~ P2HITAPO 0.476 0.038 12.623 0.000 0.402 0.550
## 172 P2HITPRV ~~ P2HITPRV 0.646 0.033 19.545 0.000 0.581 0.710
## 173 P2HITWAR ~~ P2HITWAR 0.467 0.050 9.355 0.000 0.369 0.565
## 174 P2ATTENB ~~ P2ATTENB 0.682 0.034 19.823 0.000 0.614 0.749
## 175 P2ATTENP ~~ P2ATTENP 0.760 0.032 23.689 0.000 0.697 0.823
## 176 P2PARADV ~~ P2PARADV 0.848 0.038 22.217 0.000 0.773 0.923
## 177 P2PARGRP ~~ P2PARGRP 0.858 0.028 31.179 0.000 0.804 0.912
## 178 P2ATTENS ~~ P2ATTENS 0.614 0.036 16.884 0.000 0.543 0.685
## 179 P2VOLUNT ~~ P2VOLUNT 0.608 0.038 15.819 0.000 0.533 0.683
## 180 P2FUNDRS ~~ P2FUNDRS 0.726 0.032 22.685 0.000 0.663 0.789
## 181 P2TVRULE ~~ P2TVRULE 0.309 0.049 6.252 0.000 0.212 0.406
## 182 P2TVRUL3 ~~ P2TVRUL3 0.412 0.039 10.602 0.000 0.336 0.488
## 183 P2TVRUL2 ~~ P2TVRUL2 0.352 0.048 7.320 0.000 0.258 0.446
## 184 P1TELLST ~~ P1TELLST 0.658 0.022 29.408 0.000 0.614 0.702
## 185 P1SINGSO ~~ P1SINGSO 0.754 0.021 35.457 0.000 0.712 0.796
## 186 P1HELPAR ~~ P1HELPAR 0.721 0.021 34.842 0.000 0.680 0.762
## 187 P1CHORES ~~ P1CHORES 0.828 0.019 42.483 0.000 0.790 0.866
## 188 P1GAMES ~~ P1GAMES 0.641 0.023 28.149 0.000 0.597 0.686
## 189 P1NATURE ~~ P1NATURE 0.696 0.022 31.941 0.000 0.653 0.738
## 190 P1BUILD ~~ P1BUILD 0.713 0.021 34.595 0.000 0.673 0.753
## 191 P1SPORT ~~ P1SPORT 0.769 0.020 39.295 0.000 0.731 0.808
## 192 P2LIBRAR ~~ P2LIBRAR 0.649 0.039 16.427 0.000 0.571 0.726
## 193 P2CONCRT ~~ P2CONCRT 0.692 0.038 18.333 0.000 0.618 0.766
## 194 P2MUSEUM ~~ P2MUSEUM 0.626 0.042 15.095 0.000 0.545 0.708
## 195 P2ZOO ~~ P2ZOO 0.741 0.034 22.019 0.000 0.675 0.807
## 196 C2RSCALE ~~ C2RSCALE 0.803 0.014 57.073 0.000 0.775 0.830
## 197 T2LEARN ~~ T2LEARN 0.968 0.009 107.076 0.000 0.950 0.985
## 198 T2EXTERN ~~ T2EXTERN 0.959 0.010 95.652 0.000 0.939 0.978
## 199 T2INTERN ~~ T2INTERN 0.993 0.005 216.996 0.000 0.984 1.002
## 200 T2CONTRO ~~ T2CONTRO 0.965 0.010 99.939 0.000 0.946 0.984
## 201 T2INTERP ~~ T2INTERP 0.956 0.011 88.494 0.000 0.935 0.977
## 202 f1 ~~ f1 1.000 0.000 NA NA 1.000 1.000
## 203 f2 ~~ f2 1.000 0.000 NA NA 1.000 1.000
## 204 f3 ~~ f3 1.000 0.000 NA NA 1.000 1.000
## 205 f4 ~~ f4 1.000 0.000 NA NA 1.000 1.000
## 206 f5 ~~ f5 1.000 0.000 NA NA 1.000 1.000
## 207 f6 ~~ f6 1.000 0.000 NA NA 1.000 1.000
## 208 P2BEPARN ~*~ P2BEPARN 1.000 0.000 NA NA 1.000 1.000
## 209 P2CHDOES ~*~ P2CHDOES 1.000 0.000 NA NA 1.000 1.000
## 210 P2HRDWRM ~*~ P2HRDWRM 1.000 0.000 NA NA 1.000 1.000
## 211 P2FLTRAP ~*~ P2FLTRAP 1.000 0.000 NA NA 1.000 1.000
## 212 P2FEELAN ~*~ P2FEELAN 1.000 0.000 NA NA 1.000 1.000
## 213 P2CHHARD ~*~ P2CHHARD 1.000 0.000 NA NA 1.000 1.000
## 214 P2MOREWK ~*~ P2MOREWK 1.000 0.000 NA NA 1.000 1.000
## 215 P2HITCHO ~*~ P2HITCHO 1.000 0.000 NA NA 1.000 1.000
## 216 P2HITAPO ~*~ P2HITAPO 1.000 0.000 NA NA 1.000 1.000
## 217 P2HITPRV ~*~ P2HITPRV 1.000 0.000 NA NA 1.000 1.000
## 218 P2HITWAR ~*~ P2HITWAR 1.000 0.000 NA NA 1.000 1.000
## 219 P2ATTENB ~*~ P2ATTENB 1.000 0.000 NA NA 1.000 1.000
## 220 P2ATTENP ~*~ P2ATTENP 1.000 0.000 NA NA 1.000 1.000
## 221 P2PARADV ~*~ P2PARADV 1.000 0.000 NA NA 1.000 1.000
## 222 P2PARGRP ~*~ P2PARGRP 1.000 0.000 NA NA 1.000 1.000
## 223 P2ATTENS ~*~ P2ATTENS 1.000 0.000 NA NA 1.000 1.000
## 224 P2VOLUNT ~*~ P2VOLUNT 1.000 0.000 NA NA 1.000 1.000
## 225 P2FUNDRS ~*~ P2FUNDRS 1.000 0.000 NA NA 1.000 1.000
## 226 P2TVRULE ~*~ P2TVRULE 1.000 0.000 NA NA 1.000 1.000
## 227 P2TVRUL3 ~*~ P2TVRUL3 1.000 0.000 NA NA 1.000 1.000
## 228 P2TVRUL2 ~*~ P2TVRUL2 1.000 0.000 NA NA 1.000 1.000
## 229 P1TELLST ~*~ P1TELLST 1.000 0.000 NA NA 1.000 1.000
## 230 P1SINGSO ~*~ P1SINGSO 1.000 0.000 NA NA 1.000 1.000
## 231 P1HELPAR ~*~ P1HELPAR 1.000 0.000 NA NA 1.000 1.000
## 232 P1CHORES ~*~ P1CHORES 1.000 0.000 NA NA 1.000 1.000
## 233 P1GAMES ~*~ P1GAMES 1.000 0.000 NA NA 1.000 1.000
## 234 P1NATURE ~*~ P1NATURE 1.000 0.000 NA NA 1.000 1.000
## 235 P1BUILD ~*~ P1BUILD 1.000 0.000 NA NA 1.000 1.000
## 236 P1SPORT ~*~ P1SPORT 1.000 0.000 NA NA 1.000 1.000
## 237 P2LIBRAR ~*~ P2LIBRAR 1.000 0.000 NA NA 1.000 1.000
## 238 P2CONCRT ~*~ P2CONCRT 1.000 0.000 NA NA 1.000 1.000
## 239 P2MUSEUM ~*~ P2MUSEUM 1.000 0.000 NA NA 1.000 1.000
## 240 P2ZOO ~*~ P2ZOO 1.000 0.000 NA NA 1.000 1.000
## 241 P2BEPARN ~1 0.000 0.000 NA NA 0.000 0.000
## 242 P2CHDOES ~1 0.000 0.000 NA NA 0.000 0.000
## 243 P2HRDWRM ~1 0.000 0.000 NA NA 0.000 0.000
## 244 P2FLTRAP ~1 0.000 0.000 NA NA 0.000 0.000
## 245 P2FEELAN ~1 0.000 0.000 NA NA 0.000 0.000
## 246 P2CHHARD ~1 0.000 0.000 NA NA 0.000 0.000
## 247 P2MOREWK ~1 0.000 0.000 NA NA 0.000 0.000
## 248 P2HITCHO ~1 0.000 0.000 NA NA 0.000 0.000
## 249 P2HITAPO ~1 0.000 0.000 NA NA 0.000 0.000
## 250 P2HITPRV ~1 0.000 0.000 NA NA 0.000 0.000
## 251 P2HITWAR ~1 0.000 0.000 NA NA 0.000 0.000
## 252 P2ATTENB ~1 0.000 0.000 NA NA 0.000 0.000
## 253 P2ATTENP ~1 0.000 0.000 NA NA 0.000 0.000
## 254 P2PARADV ~1 0.000 0.000 NA NA 0.000 0.000
## 255 P2PARGRP ~1 0.000 0.000 NA NA 0.000 0.000
## 256 P2ATTENS ~1 0.000 0.000 NA NA 0.000 0.000
## 257 P2VOLUNT ~1 0.000 0.000 NA NA 0.000 0.000
## 258 P2FUNDRS ~1 0.000 0.000 NA NA 0.000 0.000
## 259 P2TVRULE ~1 0.000 0.000 NA NA 0.000 0.000
## 260 P2TVRUL3 ~1 0.000 0.000 NA NA 0.000 0.000
## 261 P2TVRUL2 ~1 0.000 0.000 NA NA 0.000 0.000
## 262 P1TELLST ~1 0.000 0.000 NA NA 0.000 0.000
## 263 P1SINGSO ~1 0.000 0.000 NA NA 0.000 0.000
## 264 P1HELPAR ~1 0.000 0.000 NA NA 0.000 0.000
## 265 P1CHORES ~1 0.000 0.000 NA NA 0.000 0.000
## 266 P1GAMES ~1 0.000 0.000 NA NA 0.000 0.000
## 267 P1NATURE ~1 0.000 0.000 NA NA 0.000 0.000
## 268 P1BUILD ~1 0.000 0.000 NA NA 0.000 0.000
## 269 P1SPORT ~1 0.000 0.000 NA NA 0.000 0.000
## 270 P2LIBRAR ~1 0.000 0.000 NA NA 0.000 0.000
## 271 P2CONCRT ~1 0.000 0.000 NA NA 0.000 0.000
## 272 P2MUSEUM ~1 0.000 0.000 NA NA 0.000 0.000
## 273 P2ZOO ~1 0.000 0.000 NA NA 0.000 0.000
## 274 C2RSCALE ~1 1.541 0.202 7.623 0.000 1.145 1.938
## 275 T2LEARN ~1 4.313 0.079 54.326 0.000 4.158 4.469
## 276 T2EXTERN ~1 2.566 0.058 43.978 0.000 2.451 2.680
## 277 T2INTERN ~1 2.958 0.056 52.695 0.000 2.848 3.068
## 278 T2CONTRO ~1 4.901 0.083 58.795 0.000 4.737 5.064
## 279 T2INTERP ~1 4.787 0.084 57.248 0.000 4.623 4.950
## 280 f1 ~1 0.000 0.000 NA NA 0.000 0.000
## 281 f2 ~1 0.000 0.000 NA NA 0.000 0.000
## 282 f3 ~1 0.000 0.000 NA NA 0.000 0.000
## 283 f4 ~1 0.000 0.000 NA NA 0.000 0.000
## 284 f5 ~1 0.000 0.000 NA NA 0.000 0.000
## 285 f6 ~1 0.000 0.000 NA NA 0.000 0.000#The lines that we are interested are line 1 to line 11In the SEMsen package, the sa.aco function is used to
run the sensitivity analysis. The original model is complicated, and for
illustration purpose, we analyzed 6 phantom variables, and paths for the
C2RSCALE.
my.sa1 <- sa.aco(data= smith19.use,
model = model1,
sens.model = sens.model1,
k = 10,
opt.fun = quote(1/abs(new.par$pvalue[9]-0.05)),
rate.of.conv = .05,
paths = c(1:11),
seed=119,
max.iter = 100,
estimator="WLSMV",
ordered = factornames)
#15 out of 175 evaluations converged. In the sa.aco function, we specified the data(data) we
are using, original model (model1), the sensitivity model
(sens.model1), the optimization function
(opt.fun), the convergence rate threshold
(rate.of.conv)the paths that we are interested from the
previous step (paths), a seed for reproducibility
(seed), the estimator we used to conduct the analysis
(estimator;using the lavaan package format),
and the variables that are ordinal(ordered; using the
lavaan package format).
Note: We only used k = 10 and
max.iter = 100 so the analysis would run quickly for
illustration purposes. For actual analyses, please specify these
parameters as larger numbers (e.g., default value of
k = 100 and max.iter = 1000). In addition, the
convergence rate is set to be (rate.of.conv = .05) in this
example as the model is complicated. An error message may show up like
below:
#error message
# Error in sa.aco(data= smith19.use,
# model = model1,
# sens.model = sens.model1,
# k = 10,rate.of.conv = .1, :
#
# Sensitivity analysis models do not reach the specified convergence rate.
# Please set a lower convergence rate threshold (i.e., rate. of. conv) or
# reduce model complexicity)The sens.tables function helps summarize the results of
a sensitivity analysis.
my.sa.table = sens.tables(my.sa1) # get resultsThe sens.summary table provides estimates and p-values
for each path in the original model. The phan.paths table
provides the minimum, mean and maximum value of sensitivity parameters
that we described in our sensitivity model at Step 2. The
phan.min table provides the sensitivity parameters lead to
the minimum coefficient for each path from sa.aco. The
phan.max table provides the sensitivity parameters lead to
the maximum coefficient for each path estimates from
sa.aco. The p.paths table provides sensitivity
parameters lead to change in significance foe each path. The
NA indicates there is no change in p-value and meaningful
sensitivity parameters that can change p-value.
my.sa.table$sens.summary## model.est model.pvalue mean.est.sens min.est.sens
## T2CONTRO~f1 -0.1445446263 5.672534e-09 -0.1445445513 -0.1445453225
## T2INTERP~f1 -0.1372948697 3.220701e-08 -0.1372944661 -0.1372950392
## T2LEARN~f1 -0.1161465928 3.557464e-06 -0.1110832468 -0.2609898707
## C2RSCALE~T2CONTRO -0.0785269002 2.599748e-02 -0.0753318919 -0.1004213881
## C2RSCALE~f6 -0.0658091048 1.247915e-01 -0.0593832142 -0.1107343431
## T2INTERP~f6 -0.0582568971 1.854210e-01 -0.0582647493 -0.0583085157
## T2INTERN~f3 -0.0546445782 1.400257e-01 -0.0546438300 -0.0546451212
## T2CONTRO~f6 -0.0533439553 2.502683e-01 -0.0533369842 -0.0533699567
## C2RSCALE~f2 -0.0478053252 9.044476e-02 -0.0469410164 -0.0650719618
## T2EXTERN~f6 0.0283456107 5.375607e-01 -0.0452896434 -0.8440902468
## T2LEARN~f4 0.0053384171 8.568420e-01 -0.0422538655 -0.6815210545
## T2LEARN~f6 -0.0305375590 4.931428e-01 -0.0397184257 -0.8642471071
## T2LEARN~f2 -0.0382625825 2.096279e-01 -0.0376372197 -0.2273087662
## T2INTERN~f6 -0.0327797770 4.486623e-01 -0.0327804185 -0.0327849972
## T2INTERP~f2 -0.0246496948 4.157732e-01 -0.0246527957 -0.0246712634
## C2RSCALE~T2INTERP -0.0248810443 3.884874e-01 -0.0237905506 -0.0557040649
## T2EXTERN~f3 -0.1251606892 8.509256e-04 -0.0220709380 -0.5981441959
## T2CONTRO~f2 -0.0207138567 4.969758e-01 -0.0207105641 -0.0207202900
## C2RSCALE~f1 -0.0169880165 4.933816e-01 -0.0195577234 -0.0388915254
## C2RSCALE~f5 0.0017189063 9.492271e-01 -0.0113484705 -0.0989397759
## T2INTERP~f4 -0.0039044391 8.959249e-01 -0.0039022435 -0.0039045852
## T2CONTRO~f5 -0.0036095049 9.003702e-01 -0.0036100114 -0.0036175548
## T2INTERN~f5 -0.0015122973 9.570646e-01 -0.0015122455 -0.0015127834
## T2CONTRO~f4 -0.0001404092 9.962962e-01 -0.0001425849 -0.0001592474
## C2RSCALE~T2INTERN 0.0036770123 8.490658e-01 0.0030015383 -0.0072204190
## T2INTERN~f1 0.0064944410 8.020084e-01 0.0064945100 0.0064943042
## T2EXTERN~f2 0.0347198310 2.518782e-01 0.0103434105 -0.1631032684
## T2INTERN~f4 0.0137869556 6.299069e-01 0.0137871852 0.0137867874
## T2INTERP~f5 0.0188911241 4.996183e-01 0.0188921184 0.0188908153
## C2RSCALE~f4 0.0438501902 9.878833e-02 0.0418164692 -0.0350299147
## T2INTERN~f2 0.0447558098 1.466241e-01 0.0447555307 0.0447537609
## C2RSCALE~T2EXTERN 0.0454009043 1.047413e-01 0.0490681985 0.0268152023
## T2LEARN~f5 0.0421933914 1.319447e-01 0.0498815401 -0.5054167960
## T2EXTERN~f4 0.0122678817 6.774808e-01 0.0507932861 -0.5303015652
## T2EXTERN~f5 0.0311271634 2.730746e-01 0.0650823756 -0.2997877071
## T2CONTRO~f3 0.1197561322 1.749667e-03 0.1197477775 0.1196844296
## C2RSCALE~f3 0.1498234539 7.525736e-06 0.1480770913 0.0657390418
## T2LEARN~f3 0.1106045344 3.715749e-03 0.1506356077 -0.4881633895
## T2INTERP~f3 0.1568265729 2.557126e-05 0.1568349314 0.1568259576
## T2EXTERN~f1 0.1583809130 7.146328e-11 0.1760751862 0.0439651742
## C2RSCALE~T2LEARN 0.4853128580 0.000000e+00 0.4828125863 0.4318415842
## max.est.sens
## T2CONTRO~f1 -0.1445425972
## T2INTERP~f1 -0.1372919437
## T2LEARN~f1 0.1419114735
## C2RSCALE~T2CONTRO -0.0348539196
## C2RSCALE~f6 0.0078880074
## T2INTERP~f6 -0.0582561794
## T2INTERN~f3 -0.0546391116
## T2CONTRO~f6 -0.0532773618
## C2RSCALE~f2 -0.0224232440
## T2EXTERN~f6 0.5336562364
## T2LEARN~f4 0.4278551493
## T2LEARN~f6 0.6091549553
## T2LEARN~f2 0.1825455390
## T2INTERN~f6 -0.0327783434
## T2INTERP~f2 -0.0246493892
## C2RSCALE~T2INTERP 0.0016133701
## T2EXTERN~f3 0.4450368117
## T2CONTRO~f2 -0.0206871256
## C2RSCALE~f1 -0.0079199773
## C2RSCALE~f5 0.0509632547
## T2INTERP~f4 -0.0038897621
## T2CONTRO~f5 -0.0036036597
## T2INTERN~f5 -0.0015116692
## T2CONTRO~f4 -0.0001353881
## C2RSCALE~T2INTERN 0.0128769548
## T2INTERN~f1 0.0064948260
## T2EXTERN~f2 0.2091424014
## T2INTERN~f4 0.0137885043
## T2INTERP~f5 0.0188972207
## C2RSCALE~f4 0.0985734639
## T2INTERN~f2 0.0447559818
## C2RSCALE~T2EXTERN 0.0991216923
## T2LEARN~f5 1.2390163456
## T2EXTERN~f4 0.5835144174
## T2EXTERN~f5 1.2834450825
## T2CONTRO~f3 0.1197768658
## C2RSCALE~f3 0.1985251435
## T2LEARN~f3 1.0027244773
## T2INTERP~f3 0.1568834567
## T2EXTERN~f1 0.4284066793
## C2RSCALE~T2LEARN 0.5530986059my.sa.table$phan.paths## mean.phan min.phan max.phan
## T2EXTERN~phantom -0.23241566 -1.3517301 0.5478649
## T2LEARN~phantom -0.17684069 -1.2918587 0.6248955
## f5~phantom -0.02110502 -0.3992532 0.7794786
## C2RSCALE~phantom 0.00684393 -0.1119661 0.1082448
## f4~phantom 0.13047824 -0.7186094 0.5766870
## f3~phantom 0.27881719 -0.5192671 0.6243018my.sa.table$phan.min## T2LEARN~phantom T2EXTERN~phantom C2RSCALE~phantom f3~phantom
## C2RSCALE~T2LEARN 0.55218125 -0.4747524 0.0525956099 -0.07833205
## C2RSCALE~T2EXTERN -0.04070211 -0.2690685 -0.0468532735 0.30651642
## C2RSCALE~T2INTERN 0.55218125 -0.4747524 0.0525956099 -0.07833205
## C2RSCALE~T2CONTRO -1.05580059 0.1057519 0.0990550986 0.57939657
## C2RSCALE~T2INTERP -1.05580059 0.1057519 0.0990550986 0.57939657
## C2RSCALE~f1 -1.29185870 -1.3517301 0.1082448198 0.33840983
## C2RSCALE~f2 -0.24734577 0.3501010 0.0719601880 -0.51926712
## C2RSCALE~f3 -1.05580059 0.1057519 0.0990550986 0.57939657
## C2RSCALE~f4 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## C2RSCALE~f5 -1.29185870 -1.3517301 0.1082448198 0.33840983
## C2RSCALE~f6 -0.24734577 0.3501010 0.0719601880 -0.51926712
## T2LEARN~f1 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2LEARN~f2 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2LEARN~f3 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2LEARN~f4 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2LEARN~f5 -1.05580059 0.1057519 0.0990550986 0.57939657
## T2LEARN~f6 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2EXTERN~f1 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2EXTERN~f2 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2EXTERN~f3 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2EXTERN~f4 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2EXTERN~f5 -0.97205864 -0.7678565 -0.1119660675 -0.47950875
## T2EXTERN~f6 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2INTERN~f1 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2INTERN~f2 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2INTERN~f3 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2INTERN~f4 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2INTERN~f5 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2INTERN~f6 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2CONTRO~f1 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2CONTRO~f2 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2CONTRO~f3 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2CONTRO~f4 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2CONTRO~f5 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2CONTRO~f6 -1.29185870 -1.3517301 0.1082448198 0.33840983
## T2INTERP~f1 -0.37615240 -0.2219899 -0.0342680283 0.58754335
## T2INTERP~f2 -0.31730618 0.3385820 0.0005171162 0.20901534
## T2INTERP~f3 0.55218125 -0.4747524 0.0525956099 -0.07833205
## T2INTERP~f4 0.62489554 -0.9184887 0.0904980088 0.45849095
## T2INTERP~f5 -0.04070211 -0.2690685 -0.0468532735 0.30651642
## T2INTERP~f6 -0.31730618 0.3385820 0.0005171162 0.20901534
## f4~phantom f5~phantom
## C2RSCALE~T2LEARN -0.26408850 0.20684082
## C2RSCALE~T2EXTERN -0.05317235 -0.34366777
## C2RSCALE~T2INTERN -0.26408850 0.20684082
## C2RSCALE~T2CONTRO 0.04555417 -0.39925324
## C2RSCALE~T2INTERP 0.04555417 -0.39925324
## C2RSCALE~f1 0.34219070 0.77947860
## C2RSCALE~f2 -0.71860936 -0.22442134
## C2RSCALE~f3 0.04555417 -0.39925324
## C2RSCALE~f4 -0.67428477 -0.39220692
## C2RSCALE~f5 0.34219070 0.77947860
## C2RSCALE~f6 -0.71860936 -0.22442134
## T2LEARN~f1 -0.67428477 -0.39220692
## T2LEARN~f2 0.34219070 0.77947860
## T2LEARN~f3 -0.67428477 -0.39220692
## T2LEARN~f4 -0.67428477 -0.39220692
## T2LEARN~f5 0.04555417 -0.39925324
## T2LEARN~f6 0.34219070 0.77947860
## T2EXTERN~f1 -0.67428477 -0.39220692
## T2EXTERN~f2 0.34219070 0.77947860
## T2EXTERN~f3 -0.67428477 -0.39220692
## T2EXTERN~f4 -0.67428477 -0.39220692
## T2EXTERN~f5 -0.67428477 -0.39220692
## T2EXTERN~f6 0.34219070 0.77947860
## T2INTERN~f1 0.34219070 0.77947860
## T2INTERN~f2 0.20038571 0.18558215
## T2INTERN~f3 0.34219070 0.77947860
## T2INTERN~f4 0.34219070 0.77947860
## T2INTERN~f5 0.34219070 0.77947860
## T2INTERN~f6 0.20038571 0.18558215
## T2CONTRO~f1 0.20038571 0.18558215
## T2CONTRO~f2 0.34219070 0.77947860
## T2CONTRO~f3 0.20038571 0.18558215
## T2CONTRO~f4 0.20038571 0.18558215
## T2CONTRO~f5 0.20038571 0.18558215
## T2CONTRO~f6 0.34219070 0.77947860
## T2INTERP~f1 0.26334431 -0.04515809
## T2INTERP~f2 0.20038571 0.18558215
## T2INTERP~f3 -0.26408850 0.20684082
## T2INTERP~f4 0.57668697 -0.18007001
## T2INTERP~f5 -0.05317235 -0.34366777
## T2INTERP~f6 0.20038571 0.18558215my.sa.table$phan.max## T2LEARN~phantom T2EXTERN~phantom C2RSCALE~phantom f3~phantom
## C2RSCALE~T2LEARN -1.0558006 0.1057519 0.0990550986 0.57939657
## C2RSCALE~T2EXTERN 0.6248955 -0.9184887 0.0904980088 0.45849095
## C2RSCALE~T2INTERN -1.0558006 0.1057519 0.0990550986 0.57939657
## C2RSCALE~T2CONTRO 0.6248955 -0.9184887 0.0904980088 0.45849095
## C2RSCALE~T2INTERP 0.5521812 -0.4747524 0.0525956099 -0.07833205
## C2RSCALE~f1 -0.2473458 0.3501010 0.0719601880 -0.51926712
## C2RSCALE~f2 -0.9720586 -0.7678565 -0.1119660675 -0.47950875
## C2RSCALE~f3 -0.2473458 0.3501010 0.0719601880 -0.51926712
## C2RSCALE~f4 -0.2473458 0.3501010 0.0719601880 -0.51926712
## C2RSCALE~f5 -1.0558006 0.1057519 0.0990550986 0.57939657
## C2RSCALE~f6 -0.9720586 -0.7678565 -0.1119660675 -0.47950875
## T2LEARN~f1 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2LEARN~f2 -0.9720586 -0.7678565 -0.1119660675 -0.47950875
## T2LEARN~f3 -1.0558006 0.1057519 0.0990550986 0.57939657
## T2LEARN~f4 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2LEARN~f5 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2LEARN~f6 -0.9720586 -0.7678565 -0.1119660675 -0.47950875
## T2EXTERN~f1 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2EXTERN~f2 -0.9720586 -0.7678565 -0.1119660675 -0.47950875
## T2EXTERN~f3 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2EXTERN~f4 0.6248955 -0.9184887 0.0904980088 0.45849095
## T2EXTERN~f5 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2EXTERN~f6 -0.9720586 -0.7678565 -0.1119660675 -0.47950875
## T2INTERN~f1 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERN~f2 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2INTERN~f3 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERN~f4 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERN~f5 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERN~f6 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2CONTRO~f1 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2CONTRO~f2 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2CONTRO~f3 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2CONTRO~f4 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2CONTRO~f5 -1.2918587 -1.3517301 0.1082448198 0.33840983
## T2CONTRO~f6 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERP~f1 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERP~f2 0.5521812 -0.4747524 0.0525956099 -0.07833205
## T2INTERP~f3 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERP~f4 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERP~f5 -0.3173062 0.3385820 0.0005171162 0.20901534
## T2INTERP~f6 0.2764462 0.3808589 0.0499169125 0.23533817
## f4~phantom f5~phantom
## C2RSCALE~T2LEARN 0.04555417 -0.3992532
## C2RSCALE~T2EXTERN 0.57668697 -0.1800700
## C2RSCALE~T2INTERN 0.04555417 -0.3992532
## C2RSCALE~T2CONTRO 0.57668697 -0.1800700
## C2RSCALE~T2INTERP -0.26408850 0.2068408
## C2RSCALE~f1 -0.71860936 -0.2244213
## C2RSCALE~f2 -0.67428477 -0.3922069
## C2RSCALE~f3 -0.71860936 -0.2244213
## C2RSCALE~f4 -0.71860936 -0.2244213
## C2RSCALE~f5 0.04555417 -0.3992532
## C2RSCALE~f6 -0.67428477 -0.3922069
## T2LEARN~f1 0.34219070 0.7794786
## T2LEARN~f2 -0.67428477 -0.3922069
## T2LEARN~f3 0.04555417 -0.3992532
## T2LEARN~f4 0.34219070 0.7794786
## T2LEARN~f5 0.34219070 0.7794786
## T2LEARN~f6 -0.67428477 -0.3922069
## T2EXTERN~f1 0.34219070 0.7794786
## T2EXTERN~f2 -0.67428477 -0.3922069
## T2EXTERN~f3 0.34219070 0.7794786
## T2EXTERN~f4 0.57668697 -0.1800700
## T2EXTERN~f5 0.34219070 0.7794786
## T2EXTERN~f6 -0.67428477 -0.3922069
## T2INTERN~f1 0.20038571 0.1855821
## T2INTERN~f2 0.34219070 0.7794786
## T2INTERN~f3 0.20038571 0.1855821
## T2INTERN~f4 0.20038571 0.1855821
## T2INTERN~f5 0.20038571 0.1855821
## T2INTERN~f6 0.34219070 0.7794786
## T2CONTRO~f1 0.34219070 0.7794786
## T2CONTRO~f2 0.20038571 0.1855821
## T2CONTRO~f3 0.34219070 0.7794786
## T2CONTRO~f4 0.34219070 0.7794786
## T2CONTRO~f5 0.34219070 0.7794786
## T2CONTRO~f6 0.20038571 0.1855821
## T2INTERP~f1 0.20038571 0.1855821
## T2INTERP~f2 -0.26408850 0.2068408
## T2INTERP~f3 0.20038571 0.1855821
## T2INTERP~f4 0.20038571 0.1855821
## T2INTERP~f5 0.20038571 0.1855821
## T2INTERP~f6 0.46095003 0.5284704my.sa.table$p.paths## p.value p.changed T2LEARN~phantom T2EXTERN~phantom
## C2RSCALE~f5 9.492271e-01 0.0002804033 -1.2918587 -1.351730085
## C2RSCALE~T2EXTERN 1.047413e-01 0.0075055104 0.2699275 0.547864851
## T2LEARN~f5 1.319447e-01 0.0105797885 0.1868681 0.004585214
## T2EXTERN~f6 5.375607e-01 0.0128454029 -0.3173062 0.338581972
## T2EXTERN~f5 2.730746e-01 0.0137743468 -0.2454073 -0.546981432
## T2LEARN~f6 4.931428e-01 0.0199000254 0.2764462 0.380858850
## T2EXTERN~f4 6.774808e-01 0.0227129668 -0.3761524 -0.221989930
## T2LEARN~f4 8.568420e-01 0.0236271337 0.1868681 0.004585214
## T2LEARN~f2 2.096279e-01 0.0373372490 -0.3173062 0.338581972
## C2RSCALE~f2 9.044476e-02 0.0460107125 0.1868681 0.004585214
## C2RSCALE~f6 1.247915e-01 0.0489983864 0.2699275 0.547864851
## C2RSCALE~f4 9.878833e-02 0.0492902306 -0.3761524 -0.221989930
## T2EXTERN~f2 2.518782e-01 0.0494754271 0.5521812 -0.474752423
## C2RSCALE~f3 7.525736e-06 0.0512910622 -1.0558006 0.105751894
## C2RSCALE~T2CONTRO 2.599748e-02 0.0717371949 0.2699275 0.547864851
## T2EXTERN~f3 8.509256e-04 0.1433011796 -0.3761524 -0.221989930
## T2LEARN~f3 3.715749e-03 0.1633065843 -0.2473458 0.350101035
## T2EXTERN~f1 7.146328e-11 0.2607842095 -0.9720586 -0.767856540
## C2RSCALE~T2LEARN 0.000000e+00 NA NA NA
## C2RSCALE~T2INTERN 8.490658e-01 NA NA NA
## C2RSCALE~T2INTERP 3.884874e-01 NA NA NA
## C2RSCALE~f1 4.933816e-01 NA NA NA
## T2LEARN~f1 3.557464e-06 NA NA NA
## T2INTERN~f1 8.020084e-01 NA NA NA
## T2INTERN~f2 1.466241e-01 NA NA NA
## T2INTERN~f3 1.400257e-01 NA NA NA
## T2INTERN~f4 6.299069e-01 NA NA NA
## T2INTERN~f5 9.570646e-01 NA NA NA
## T2INTERN~f6 4.486623e-01 NA NA NA
## T2CONTRO~f1 5.672534e-09 NA NA NA
## T2CONTRO~f2 4.969758e-01 NA NA NA
## T2CONTRO~f3 1.749667e-03 NA NA NA
## T2CONTRO~f4 9.962962e-01 NA NA NA
## T2CONTRO~f5 9.003702e-01 NA NA NA
## T2CONTRO~f6 2.502683e-01 NA NA NA
## T2INTERP~f1 3.220701e-08 NA NA NA
## T2INTERP~f2 4.157732e-01 NA NA NA
## T2INTERP~f3 2.557126e-05 NA NA NA
## T2INTERP~f4 8.959249e-01 NA NA NA
## T2INTERP~f5 4.996183e-01 NA NA NA
## T2INTERP~f6 1.854210e-01 NA NA NA
## C2RSCALE~phantom f3~phantom f4~phantom f5~phantom
## C2RSCALE~f5 0.1082448198 0.33840983 0.34219070 0.77947860
## C2RSCALE~T2EXTERN -0.0800522058 0.42483437 0.49088616 -0.34633287
## T2LEARN~f5 -0.0471767154 0.57246992 0.38514600 -0.09567508
## T2EXTERN~f6 0.0005171162 0.20901534 0.20038571 0.18558215
## T2EXTERN~f5 -0.0192800832 0.58987744 0.44088352 -0.13340756
## T2LEARN~f6 0.0499169125 0.23533817 0.46095003 0.52847043
## T2EXTERN~f4 -0.0342680283 0.58754335 0.26334431 -0.04515809
## T2LEARN~f4 -0.0471767154 0.57246992 0.38514600 -0.09567508
## T2LEARN~f2 0.0005171162 0.20901534 0.20038571 0.18558215
## C2RSCALE~f2 -0.0471767154 0.57246992 0.38514600 -0.09567508
## C2RSCALE~f6 -0.0800522058 0.42483437 0.49088616 -0.34633287
## C2RSCALE~f4 -0.0342680283 0.58754335 0.26334431 -0.04515809
## T2EXTERN~f2 0.0525956099 -0.07833205 -0.26408850 0.20684082
## C2RSCALE~f3 0.0990550986 0.57939657 0.04555417 -0.39925324
## C2RSCALE~T2CONTRO -0.0800522058 0.42483437 0.49088616 -0.34633287
## T2EXTERN~f3 -0.0342680283 0.58754335 0.26334431 -0.04515809
## T2LEARN~f3 0.0719601880 -0.51926712 -0.71860936 -0.22442134
## T2EXTERN~f1 -0.1119660675 -0.47950875 -0.67428477 -0.39220692
## C2RSCALE~T2LEARN NA NA NA NA
## C2RSCALE~T2INTERN NA NA NA NA
## C2RSCALE~T2INTERP NA NA NA NA
## C2RSCALE~f1 NA NA NA NA
## T2LEARN~f1 NA NA NA NA
## T2INTERN~f1 NA NA NA NA
## T2INTERN~f2 NA NA NA NA
## T2INTERN~f3 NA NA NA NA
## T2INTERN~f4 NA NA NA NA
## T2INTERN~f5 NA NA NA NA
## T2INTERN~f6 NA NA NA NA
## T2CONTRO~f1 NA NA NA NA
## T2CONTRO~f2 NA NA NA NA
## T2CONTRO~f3 NA NA NA NA
## T2CONTRO~f4 NA NA NA NA
## T2CONTRO~f5 NA NA NA NA
## T2CONTRO~f6 NA NA NA NA
## T2INTERP~f1 NA NA NA NA
## T2INTERP~f2 NA NA NA NA
## T2INTERP~f3 NA NA NA NA
## T2INTERP~f4 NA NA NA NA
## T2INTERP~f5 NA NA NA NA
## T2INTERP~f6 NA NA NA NALeite, W., Shen, Z., Marcoulides, K., Fish, C., & Harring, J. (2022). Using ant colony optimization for sensitivity analysis in structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 29 (1), 47-56.