$all
[1] 200Reporting SEM_conservative sample
Sample size
Descriptive
Reward groups
no_reward performance_reward
103 97 Eco orientation groups
EEC_focus EEF_focus EEFandEEC_focus
69 68 63 # A tibble: 6 × 9
Condition_reward_name Condition_eco_name n mean_EEF sd_EEF mean_EEC sd_EEC
<chr> <chr> <int> <dbl> <dbl> <dbl> <dbl>
1 no_reward EEC_focus 36 5.42 1.24 4.51 1.46
2 no_reward EEF_focus 36 5.44 0.808 4.15 1.000
3 no_reward EEFandEEC_focus 31 5.28 0.923 4.35 0.830
4 performance_reward EEC_focus 33 5.68 1.09 4.68 1.09
5 performance_reward EEF_focus 32 5.78 0.982 4.49 1.22
6 performance_reward EEFandEEC_focus 32 5.35 1.09 4.16 1.27
# ℹ 2 more variables: mean_IM <dbl>, sd_IM <dbl># A tibble: 6 × 6
Condition_reward_name n measure mean sd se
<chr> <int> <fct> <dbl> <dbl> <dbl>
1 no_reward 103 EEF 5.38 1.00 0.0987
2 no_reward 103 EEC 4.34 1.14 0.113
3 no_reward 103 IM 5.55 0.849 0.0836
4 performance_reward 97 EEF 5.60 1.06 0.108
5 performance_reward 97 EEC 4.44 1.20 0.122
6 performance_reward 97 IM 5.60 0.759 0.0770
Factor analyses
KMOKaiser-Meyer-Olkin factor adequacy
Call: KMO(r = efa_data_good)
Overall MSA = 0.83
MSA for each item =
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1 EEC2 EEC3 ADT1 ADT2 ADT3 TR1 TR2 TR3
0.87 0.79 0.84 0.85 0.89 0.89 0.86 0.81 0.78 0.87 0.79 0.81 0.87 0.77 0.81 Correlation analysis
Bartlett test
R was not square, finding R from data$chisq
[1] 2253.326
$p.value
[1] 0
$df
[1] 105Correlation matrix
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1
IM1 1.0000000 0.69529124 0.56641145 0.5016609 0.5558512 0.5266188 0.3564259
IM2 0.6952912 1.00000000 0.66064705 0.3477709 0.4659673 0.4211593 0.3430828
IM3 0.5664114 0.66064705 1.00000000 0.2950653 0.3807281 0.3978870 0.4142264
EEF1 0.5016609 0.34777089 0.29506532 1.0000000 0.8291098 0.8111129 0.4535479
EEF2 0.5558512 0.46596731 0.38072808 0.8291098 1.0000000 0.8108762 0.4657180
EEF3 0.5266188 0.42115927 0.39788696 0.8111129 0.8108762 1.0000000 0.4578322
EEC1 0.3564259 0.34308278 0.41422644 0.4535479 0.4657180 0.4578322 1.0000000
EEC2 0.4266260 0.30741008 0.27027825 0.4494751 0.5072137 0.4787353 0.5500133
EEC3 0.3972844 0.23730391 0.24963836 0.4681343 0.5042346 0.5030159 0.6667124
ADT1 0.2628828 0.11289246 0.12691673 0.3078107 0.3053610 0.2875747 0.2472166
ADT2 0.1036903 -0.02108169 0.02217839 0.1836625 0.1495444 0.1738833 0.1849855
ADT3 0.1679400 0.05173038 0.07349800 0.2611421 0.2171905 0.2097645 0.1982876
TR1 0.2037076 0.13214250 0.16027328 0.2343756 0.2116006 0.2405387 0.2467998
TR2 0.2029586 0.11878931 0.11401190 0.1949441 0.1800189 0.2390519 0.1440965
TR3 0.1853033 0.12311731 0.14409537 0.2556229 0.2277060 0.2898389 0.2027336
EEC2 EEC3 ADT1 ADT2 ADT3 TR1 TR2
IM1 0.4266260 0.3972844 0.2628828 0.10369027 0.16793997 0.2037076 0.2029586
IM2 0.3074101 0.2373039 0.1128925 -0.02108169 0.05173038 0.1321425 0.1187893
IM3 0.2702782 0.2496384 0.1269167 0.02217839 0.07349800 0.1602733 0.1140119
EEF1 0.4494751 0.4681343 0.3078107 0.18366254 0.26114206 0.2343756 0.1949441
EEF2 0.5072137 0.5042346 0.3053610 0.14954437 0.21719048 0.2116006 0.1800189
EEF3 0.4787353 0.5030159 0.2875747 0.17388331 0.20976451 0.2405387 0.2390519
EEC1 0.5500133 0.6667124 0.2472166 0.18498554 0.19828758 0.2467998 0.1440965
EEC2 1.0000000 0.8141418 0.2806337 0.19982607 0.25128570 0.2585942 0.1792728
EEC3 0.8141418 1.0000000 0.3281195 0.23831186 0.24227225 0.3109255 0.2483292
ADT1 0.2806337 0.3281195 1.0000000 0.76526315 0.72449648 0.4090822 0.3937432
ADT2 0.1998261 0.2383119 0.7652632 1.00000000 0.76800097 0.3812028 0.3719918
ADT3 0.2512857 0.2422722 0.7244965 0.76800097 1.00000000 0.3750105 0.3431643
TR1 0.2585942 0.3109255 0.4090822 0.38120278 0.37501051 1.0000000 0.8318933
TR2 0.1792728 0.2483292 0.3937432 0.37199183 0.34316427 0.8318933 1.0000000
TR3 0.1832691 0.2653964 0.4040807 0.37273563 0.41488246 0.7990311 0.8634788
TR3
IM1 0.1853033
IM2 0.1231173
IM3 0.1440954
EEF1 0.2556229
EEF2 0.2277060
EEF3 0.2898389
EEC1 0.2027336
EEC2 0.1832691
EEC3 0.2653964
ADT1 0.4040807
ADT2 0.3727356
ADT3 0.4148825
TR1 0.7990311
TR2 0.8634788
TR3 1.0000000
Outliers
Loading required namespace: GPArotationThreshold = 0.35
Loadings:
MR1 MR2 MR3 MR4 MR5
IM1 NA NA NA NA 0.640
IM2 NA NA NA NA 0.928
IM3 NA NA NA NA 0.745
EEF1 0.971 NA NA NA NA
EEF2 0.851 NA NA NA NA
EEF3 0.828 NA NA NA NA
EEC1 NA NA NA 0.552 NA
EEC2 NA NA NA 0.754 NA
EEC3 NA NA NA 1.026 NA
ADT1 NA NA 0.819 NA NA
ADT2 NA NA 0.928 NA NA
ADT3 NA NA 0.846 NA NA
TR1 NA 0.848 NA NA NA
TR2 NA 0.972 NA NA NA
TR3 NA 0.897 NA NA NA
MR1 MR2 MR3 MR4 MR5
SS loadings NA NA NA NA NA
Proportion Var NA NA NA NA NA
Cumulative Var NA NA NA NA NA
Factor Correlation Matrix: 1 2 3 4 5
1 1.000 0.258 0.282 0.558 0.522
2 0.258 1.000 0.468 0.276 0.166
3 0.282 0.468 1.000 0.307 0.088
4 0.558 0.276 0.307 1.000 0.363
5 0.522 0.166 0.088 0.363 1.000
1 2 3 4 5
1 1.000 0.260 0.282 0.563 0.521
2 0.260 1.000 0.469 0.277 0.165
3 0.282 0.469 1.000 0.307 0.087
4 0.563 0.277 0.307 1.000 0.364
5 0.521 0.165 0.087 0.364 1.000CFA
Without controls
lavaan 0.6-21 ended normally after 34 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 21
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 76.299 67.596
Degrees of freedom 24 24
P-value (Chi-square) 0.000 0.000
Scaling correction factor 1.129
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 1289.851 744.144
Degrees of freedom 36 36
P-value 0.000 0.000
Scaling correction factor 1.733
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.958 0.938
Tucker-Lewis Index (TLI) 0.937 0.908
Robust Comparative Fit Index (CFI) 0.960
Robust Tucker-Lewis Index (TLI) 0.940
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -2118.005 -2118.005
Scaling correction factor 2.270
for the MLR correction
Loglikelihood unrestricted model (H1) -2079.855 -2079.855
Scaling correction factor 1.661
for the MLR correction
Akaike (AIC) 4278.010 4278.010
Bayesian (BIC) 4347.274 4347.274
Sample-size adjusted Bayesian (SABIC) 4280.744 4280.744
Root Mean Square Error of Approximation:
RMSEA 0.104 0.095
90 Percent confidence interval - lower 0.079 0.070
90 Percent confidence interval - upper 0.131 0.121
P-value H_0: RMSEA <= 0.050 0.001 0.002
P-value H_0: RMSEA >= 0.080 0.941 0.852
Robust RMSEA 0.101
90 Percent confidence interval - lower 0.073
90 Percent confidence interval - upper 0.130
P-value H_0: Robust RMSEA <= 0.050 0.002
P-value H_0: Robust RMSEA >= 0.080 0.898
Standardized Root Mean Square Residual:
SRMR 0.060 0.060
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) ci.lower ci.upper
EEC =~
EEC1 1.000 1.000 1.000
EEC2 1.342 0.134 10.027 0.000 1.080 1.604
EEC3 1.413 0.114 12.381 0.000 1.189 1.636
EEF =~
EEF1 1.000 1.000 1.000
EEF2 1.038 0.063 16.540 0.000 0.915 1.161
EEF3 0.967 0.051 19.063 0.000 0.868 1.066
IM =~
IM1 1.000 1.000 1.000
IM2 0.849 0.107 7.909 0.000 0.639 1.059
IM3 0.850 0.149 5.706 0.000 0.558 1.142
Std.lv Std.all
0.878 0.698
1.178 0.856
1.240 0.946
0.993 0.898
1.031 0.919
0.961 0.894
0.819 0.832
0.695 0.844
0.696 0.727
Covariances:
Estimate Std.Err z-value P(>|z|) ci.lower ci.upper
EEC ~~
EEF 0.521 0.103 5.066 0.000 0.319 0.722
IM 0.311 0.081 3.837 0.000 0.152 0.469
EEF ~~
IM 0.493 0.095 5.185 0.000 0.307 0.679
Std.lv Std.all
0.597 0.597
0.432 0.432
0.606 0.606
Variances:
Estimate Std.Err z-value P(>|z|) ci.lower ci.upper
.EEC1 0.812 0.097 8.366 0.000 0.622 1.002
.EEC2 0.508 0.113 4.507 0.000 0.287 0.728
.EEC3 0.179 0.066 2.737 0.006 0.051 0.308
.EEF1 0.236 0.046 5.131 0.000 0.146 0.327
.EEF2 0.196 0.046 4.225 0.000 0.105 0.286
.EEF3 0.233 0.065 3.550 0.000 0.104 0.361
.IM1 0.298 0.082 3.620 0.000 0.137 0.459
.IM2 0.195 0.064 3.064 0.002 0.070 0.319
.IM3 0.433 0.220 1.969 0.049 0.002 0.864
EEC 0.771 0.137 5.645 0.000 0.503 1.038
EEF 0.987 0.173 5.691 0.000 0.647 1.327
IM 0.670 0.109 6.132 0.000 0.456 0.884
Std.lv Std.all
0.812 0.513
0.508 0.268
0.179 0.105
0.236 0.193
0.196 0.155
0.233 0.201
0.298 0.308
0.195 0.287
0.433 0.472
1.000 1.000
1.000 1.000
1.000 1.000
R-Square:
Estimate
EEC1 0.487
EEC2 0.732
EEC3 0.895
EEF1 0.807
EEF2 0.845
EEF3 0.799
IM1 0.692
IM2 0.713
IM3 0.528Cronbach’s Alpha: EEC EEF IM
0.863 0.930 0.837 Omega: EEC EEF IM
0.888 0.930 0.842 Average Variance Extracted (AVE): EEC EEF IM
0.711 0.817 0.639 Correlation matrixLatent factor correlation matrix with p-values: IM EEF EEC
IM "1" "0.61 (0)" "0.43 (0)"
EEF "0.61 (0)" "1" "0.6 (0)"
EEC "0.43 (0)" "0.6 (0)" "1" Diagnostics
Only larger ones lhs op rhs mi epc sepc.lv sepc.all sepc.nox
28 EEC =~ IM1 10.365 0.224 0.197 0.200 0.200
34 EEF =~ IM1 14.738 0.299 0.297 0.302 0.302
39 IM =~ EEC3 13.169 -0.324 -0.265 -0.202 -0.202
43 EEC1 ~~ EEC2 10.050 -0.254 -0.254 -0.395 -0.395
50 EEC1 ~~ IM3 13.840 0.175 0.175 0.296 0.296
78 IM2 ~~ IM3 17.062 0.193 0.193 0.665 0.665Residuals lhs op rhs mi epc sepc.lv sepc.all sepc.nox
43 EEC1 ~~ EEC2 10.050 -0.254 -0.254 -0.395 -0.395
50 EEC1 ~~ IM3 13.840 0.175 0.175 0.296 0.296
78 IM2 ~~ IM3 17.062 0.193 0.193 0.665 0.665$type
[1] "raw"
$cov
EEC1 EEC2 EEC3 EEF1 EEF2 EEF3 IM1 IM2 IM3
EEC1 0.000
EEC2 -0.082 0.000
EEC3 0.010 0.008 0.000
EEF1 0.110 -0.015 -0.057 0.000
EEF2 0.117 0.058 -0.022 0.005 0.000
EEF3 0.115 0.033 -0.003 0.010 -0.013 0.000
IM1 0.131 0.161 0.074 0.053 0.102 0.080 0.000
IM2 0.092 -0.005 -0.116 -0.102 -0.004 -0.032 -0.006 0.000
IM3 0.235 0.002 -0.060 -0.107 -0.026 0.004 -0.036 0.037 0.000Standardized residuals$type
[1] "standardized"
$cov
EEC1 EEC2 EEC3 EEF1 EEF2 EEF3 IM1 IM2 IM3
EEC1 0.000
EEC2 -2.284 0.000
EEC3 0.389 0.108 0.000
EEF1 1.338 -0.182 -0.727 0.000
EEF2 1.723 0.773 -0.302 0.077 0.000
EEF3 1.558 0.444 -0.040 0.167 -0.279 0.000
IM1 1.919 2.359 1.509 0.896 1.730 1.396 0.000
IM2 1.709 -0.097 -2.143 -1.650 -0.114 -0.634 -0.233 0.000
IM3 2.236 0.028 -0.854 -1.564 -0.506 0.077 -1.311 1.316 0.000Discriminant validity check lhs op rhs est.std se z pvalue ci.lower ci.upper
1 EEC =~ EEC1 0.698 0.043 16.312 0 0.614 0.782
2 EEC =~ EEC2 0.856 0.036 23.513 0 0.784 0.927
3 EEC =~ EEC3 0.946 0.021 45.287 0 0.905 0.987
4 EEF =~ EEF1 0.898 0.023 38.273 0 0.852 0.944
5 EEF =~ EEF2 0.919 0.021 44.562 0 0.879 0.959
6 EEF =~ EEF3 0.894 0.035 25.346 0 0.825 0.963
7 IM =~ IM1 0.832 0.049 16.912 0 0.736 0.928
8 IM =~ IM2 0.844 0.056 15.128 0 0.735 0.954
9 IM =~ IM3 0.727 0.125 5.813 0 0.482 0.972AVE (IM, EEF, EEC)[1] 0.6442169[1] 0.816674[1] 0.7049059Square root of AVE (IM, EEF, EEC)[1] 0.8026312[1] 0.9037002[1] 0.8395867 lhs rhs est.std
22 EEC EEF 0.597
23 EEC IM 0.432
24 EEF IM 0.606Correlations between square root AVE with correlations (sqrt vs. correlations with the other constructsIM[1] 0.8026312[1] 0.6063899[1] 0.4322208EEF[1] 0.9037002[1] 0.6063899[1] 0.5972588EEC[1] 0.8395867[1] 0.4322208[1] 0.5972588With controls
lavaan 0.6-21 ended normally after 42 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 40
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 142.534 126.065
Degrees of freedom 80 80
P-value (Chi-square) 0.000 0.001
Scaling correction factor 1.131
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2333.038 1629.863
Degrees of freedom 105 105
P-value 0.000 0.000
Scaling correction factor 1.431
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.972 0.970
Tucker-Lewis Index (TLI) 0.963 0.960
Robust Comparative Fit Index (CFI) 0.976
Robust Tucker-Lewis Index (TLI) 0.969
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3578.284 -3578.284
Scaling correction factor 1.919
for the MLR correction
Loglikelihood unrestricted model (H1) -3507.017 -3507.017
Scaling correction factor 1.394
for the MLR correction
Akaike (AIC) 7236.569 7236.569
Bayesian (BIC) 7368.502 7368.502
Sample-size adjusted Bayesian (SABIC) 7241.778 7241.778
Root Mean Square Error of Approximation:
RMSEA 0.063 0.054
90 Percent confidence interval - lower 0.045 0.036
90 Percent confidence interval - upper 0.079 0.070
P-value H_0: RMSEA <= 0.050 0.108 0.345
P-value H_0: RMSEA >= 0.080 0.040 0.003
Robust RMSEA 0.057
90 Percent confidence interval - lower 0.037
90 Percent confidence interval - upper 0.075
P-value H_0: Robust RMSEA <= 0.050 0.259
P-value H_0: Robust RMSEA >= 0.080 0.019
Standardized Root Mean Square Residual:
SRMR 0.051 0.051
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) ci.lower ci.upper
IM =~
IM1 1.000 1.000 1.000
IM2 0.854 0.107 7.979 0.000 0.644 1.064
IM3 0.854 0.147 5.825 0.000 0.567 1.142
EEF =~
EEF1 1.000 1.000 1.000
EEF2 1.036 0.063 16.359 0.000 0.912 1.160
EEF3 0.967 0.051 18.936 0.000 0.867 1.067
EEC =~
EEC1 1.000 1.000 1.000
EEC2 1.340 0.133 10.081 0.000 1.079 1.600
EEC3 1.418 0.115 12.291 0.000 1.192 1.644
TR =~
TR1 1.000 1.000 1.000
TR2 1.097 0.052 20.943 0.000 0.995 1.200
TR3 1.061 0.054 19.489 0.000 0.954 1.167
ADT =~
ADT1 1.000 1.000 1.000
ADT2 1.032 0.084 12.304 0.000 0.868 1.197
ADT3 1.077 0.080 13.532 0.000 0.921 1.233
Std.lv Std.all
0.816 0.829
0.697 0.847
0.697 0.728
0.994 0.899
1.030 0.918
0.961 0.894
0.877 0.697
1.175 0.853
1.244 0.949
1.287 0.881
1.413 0.942
1.366 0.915
0.850 0.860
0.878 0.891
0.916 0.853
Covariances:
Estimate Std.Err z-value P(>|z|) ci.lower ci.upper
IM ~~
EEF 0.491 0.095 5.189 0.000 0.305 0.676
EEC 0.306 0.081 3.794 0.000 0.148 0.465
TR 0.214 0.094 2.281 0.023 0.030 0.398
ADT 0.093 0.066 1.409 0.159 -0.036 0.223
EEF ~~
EEC 0.519 0.103 5.045 0.000 0.317 0.721
TR 0.345 0.108 3.187 0.001 0.133 0.557
ADT 0.243 0.073 3.308 0.001 0.099 0.387
EEC ~~
TR 0.332 0.094 3.519 0.000 0.147 0.516
ADT 0.242 0.069 3.524 0.000 0.107 0.377
TR ~~
ADT 0.522 0.094 5.538 0.000 0.337 0.707
Std.lv Std.all
0.605 0.605
0.428 0.428
0.204 0.204
0.134 0.134
0.595 0.595
0.269 0.269
0.287 0.287
0.294 0.294
0.325 0.325
0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) ci.lower ci.upper
.IM1 0.302 0.081 3.724 0.000 0.143 0.461
.IM2 0.192 0.063 3.066 0.002 0.069 0.315
.IM3 0.431 0.217 1.984 0.047 0.005 0.857
.EEF1 0.235 0.046 5.092 0.000 0.144 0.325
.EEF2 0.198 0.047 4.204 0.000 0.106 0.291
.EEF3 0.231 0.065 3.553 0.000 0.104 0.359
.EEC1 0.814 0.097 8.405 0.000 0.624 1.003
.EEC2 0.515 0.112 4.582 0.000 0.295 0.736
.EEC3 0.170 0.066 2.596 0.009 0.042 0.299
.TR1 0.476 0.086 5.551 0.000 0.308 0.645
.TR2 0.254 0.064 3.946 0.000 0.128 0.381
.TR3 0.364 0.095 3.853 0.000 0.179 0.549
.ADT1 0.255 0.061 4.204 0.000 0.136 0.374
.ADT2 0.200 0.055 3.612 0.000 0.092 0.309
.ADT3 0.313 0.092 3.400 0.001 0.132 0.493
IM 0.666 0.108 6.135 0.000 0.453 0.878
EEF 0.989 0.174 5.695 0.000 0.648 1.329
EEC 0.769 0.136 5.647 0.000 0.502 1.036
TR 1.658 0.178 9.315 0.000 1.309 2.006
ADT 0.723 0.097 7.483 0.000 0.534 0.912
Std.lv Std.all
0.302 0.312
0.192 0.283
0.431 0.470
0.235 0.192
0.198 0.158
0.231 0.200
0.814 0.514
0.515 0.272
0.170 0.099
0.476 0.223
0.254 0.113
0.364 0.163
0.255 0.261
0.200 0.206
0.313 0.272
1.000 1.000
1.000 1.000
1.000 1.000
1.000 1.000
1.000 1.000
R-Square:
Estimate
IM1 0.688
IM2 0.717
IM3 0.530
EEF1 0.808
EEF2 0.842
EEF3 0.800
EEC1 0.486
EEC2 0.728
EEC3 0.901
TR1 0.777
TR2 0.887
TR3 0.837
ADT1 0.739
ADT2 0.794
ADT3 0.728Cronbach’s Alpha: IM EEF EEC TR ADT
0.837 0.930 0.863 0.937 0.900 Omega: IM EEF EEC TR ADT
0.842 0.930 0.888 0.939 0.901 Average Variance Extracted (AVE): IM EEF EEC TR ADT
0.639 0.817 0.712 0.834 0.752 Factor scores$type
[1] "cor.bentler"
$cov
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1 EEC2 EEC3 TR1
IM1 0.000
IM2 -0.007 0.000
IM3 -0.037 0.045 0.000
EEF1 0.051 -0.112 -0.101 0.000
EEF2 0.096 -0.004 -0.023 0.004 0.000
EEF3 0.078 -0.037 0.004 0.007 -0.010 0.000
EEC1 0.109 0.090 0.197 0.080 0.085 0.087 0.000
EEC2 0.124 -0.002 0.004 -0.007 0.041 0.024 -0.045 0.000
EEC3 0.060 -0.107 -0.046 -0.040 -0.014 -0.002 0.005 0.004 0.000
TR1 0.055 -0.020 0.029 0.021 -0.006 0.028 0.066 0.038 0.065 0.000
TR2 0.044 -0.044 -0.026 -0.033 -0.053 0.012 -0.049 -0.057 -0.014 0.002
TR3 0.031 -0.035 0.008 0.034 0.001 0.069 0.015 -0.046 0.010 -0.007
ADT1 0.167 0.015 0.043 0.086 0.079 0.067 0.053 0.043 0.063 0.048
ADT2 0.004 -0.122 -0.065 -0.046 -0.085 -0.055 -0.017 -0.047 -0.036 0.007
ADT3 0.073 -0.045 -0.010 0.041 -0.008 -0.009 0.005 0.015 -0.021 0.016
TR2 TR3 ADT1 ADT2 ADT3
IM1
IM2
IM3
EEF1
EEF2
EEF3
EEC1
EEC2
EEC3
TR1
TR2 0.000
TR3 0.002 0.000
ADT1 0.008 0.029 0.000
ADT2 -0.028 -0.016 -0.001 0.000
ADT3 -0.040 0.043 -0.009 0.008 0.000
$cov.z
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1 EEC2 EEC3 TR1
IM1 0.000
IM2 -0.133 0.000
IM3 -0.771 0.913 0.000
EEF1 0.892 -1.482 -1.382 0.000
EEF2 1.793 -0.077 -0.414 0.061 0.000
EEF3 1.353 -0.567 0.071 0.107 -0.192 0.000
EEC1 1.950 1.704 2.113 1.244 1.615 1.479 0.000
EEC2 2.500 -0.036 0.068 -0.117 0.738 0.419 -1.250 0.000
EEC3 1.490 -1.966 -0.708 -0.603 -0.238 -0.037 0.159 0.077 0.000
TR1 0.884 -0.426 0.402 0.514 -0.158 0.616 1.076 0.797 1.549 0.000
TR2 0.871 -1.049 -0.489 -0.726 -1.245 0.256 -0.839 -1.221 -0.432 0.072
TR3 0.533 -0.739 0.121 0.883 0.034 1.518 0.265 -0.986 0.317 -0.273
ADT1 2.837 0.332 0.839 1.826 1.635 1.496 0.948 0.845 1.716 0.985
ADT2 0.094 -2.884 -1.283 -0.915 -1.823 -1.171 -0.297 -0.944 -0.955 0.163
ADT3 1.324 -1.009 -0.162 0.826 -0.158 -0.208 0.096 0.299 -0.512 0.367
TR2 TR3 ADT1 ADT2 ADT3
IM1
IM2
IM3
EEF1
EEF2
EEF3
EEC1
EEC2
EEC3
TR1
TR2 0.000
TR3 0.069 0.000
ADT1 0.189 0.658 0.000
ADT2 -0.861 -0.418 -0.023 0.000
ADT3 -0.958 1.073 -0.275 0.287 0.000
$summary
cov
srmr 0.051
srmr.se 0.013
srmr.exactfit.z 0.097
srmr.exactfit.pvalue 0.461
usrmr 0.000
usrmr.se 0.016
usrmr.ci.lower -0.027
usrmr.ci.upper 0.027
usrmr.closefit.h0.value 0.050
usrmr.closefit.z -3.099
usrmr.closefit.pvalue 0.999 IM EEF EEC TR ADT
IM 1.000
EEF 0.605 1.000
EEC 0.428 0.595 1.000
TR 0.204 0.269 0.294 1.000
ADT 0.134 0.287 0.325 0.477 1.000Correlation matrixLatent factor correlation matrix with p-values: IM EEF EEC TR ADT
IM "1" "0.6 (0)" "0.43 (0)" "0.2 (0.013)" "0.13 (0.13)"
EEF "0.6 (0)" "1" "0.6 (0)" "0.27 (0)" "0.29 (0)"
EEC "0.43 (0)" "0.6 (0)" "1" "0.29 (0)" "0.32 (0)"
TR "0.2 (0.013)" "0.27 (0)" "0.29 (0)" "1" "0.48 (0)"
ADT "0.13 (0.13)" "0.29 (0)" "0.32 (0)" "0.48 (0)" "1" Diagnostics
Larger modification indices lhs op rhs mi epc sepc.lv sepc.all sepc.nox
49 IM =~ EEC1 10.162 0.320 0.261 0.208 0.208
51 IM =~ EEC3 13.474 -0.325 -0.265 -0.202 -0.202
58 EEF =~ IM1 15.384 0.303 0.301 0.306 0.306
70 EEC =~ IM1 10.854 0.228 0.200 0.203 0.203
120 IM2 ~~ IM3 15.678 0.185 0.185 0.643 0.643
136 IM3 ~~ EEC1 13.805 0.175 0.175 0.295 0.295Residuals lhs op rhs mi epc sepc.lv sepc.all sepc.nox
120 IM2 ~~ IM3 15.678 0.185 0.185 0.643 0.643
136 IM3 ~~ EEC1 13.805 0.175 0.175 0.295 0.295$type
[1] "raw"
$cov
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1 EEC2 EEC3 TR1
IM1 0.000
IM2 -0.005 0.000
IM3 -0.035 0.035 0.000
EEF1 0.055 -0.102 -0.107 0.000
EEF2 0.106 -0.004 -0.025 0.005 0.000
EEF3 0.083 -0.032 0.004 0.009 -0.012 0.000
EEC1 0.135 0.094 0.237 0.112 0.120 0.117 0.000
EEC2 0.167 -0.002 0.006 -0.011 0.063 0.036 -0.078 0.000
EEC3 0.078 -0.115 -0.058 -0.058 -0.021 -0.003 0.008 0.008 0.000
TR1 0.078 -0.024 0.041 0.034 -0.010 0.044 0.122 0.076 0.125 0.000
TR2 0.064 -0.054 -0.037 -0.055 -0.089 0.020 -0.092 -0.117 -0.028 0.004
TR3 0.045 -0.043 0.012 0.056 0.003 0.111 0.029 -0.094 0.021 -0.015
ADT1 0.163 0.012 0.041 0.094 0.087 0.071 0.066 0.058 0.082 0.069
ADT2 0.004 -0.099 -0.061 -0.051 -0.094 -0.058 -0.021 -0.064 -0.047 0.010
ADT3 0.077 -0.040 -0.010 0.048 -0.009 -0.011 0.007 0.022 -0.029 0.026
TR2 TR3 ADT1 ADT2 ADT3
IM1
IM2
IM3
EEF1
EEF2
EEF3
EEC1
EEC2
EEC3
TR1
TR2 0.000
TR3 0.005 0.000
ADT1 0.011 0.043 0.000
ADT2 -0.041 -0.023 -0.001 0.000
ADT3 -0.065 0.068 -0.010 0.008 0.000Standardized residuals$type
[1] "standardized"
$cov
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1 EEC2 EEC3 TR1
IM1 0.000
IM2 -0.133 0.000
IM3 -0.771 0.913 0.000
EEF1 0.892 -1.482 -1.382 0.000
EEF2 1.793 -0.077 -0.414 0.061 0.000
EEF3 1.353 -0.567 0.071 0.107 -0.192 0.000
EEC1 1.950 1.704 2.113 1.244 1.615 1.479 0.000
EEC2 2.500 -0.036 0.068 -0.117 0.738 0.419 -1.250 0.000
EEC3 1.490 -1.966 -0.708 -0.603 -0.238 -0.037 0.159 0.077 0.000
TR1 0.884 -0.426 0.402 0.514 -0.158 0.616 1.076 0.797 1.549 0.000
TR2 0.871 -1.049 -0.489 -0.726 -1.245 0.256 -0.839 -1.221 -0.432 0.072
TR3 0.533 -0.739 0.121 0.883 0.034 1.518 0.265 -0.986 0.317 -0.273
ADT1 2.837 0.332 0.839 1.826 1.635 1.496 0.948 0.845 1.716 0.985
ADT2 0.094 -2.884 -1.283 -0.915 -1.823 -1.171 -0.297 -0.944 -0.955 0.163
ADT3 1.324 -1.009 -0.162 0.826 -0.158 -0.208 0.096 0.299 -0.512 0.367
TR2 TR3 ADT1 ADT2 ADT3
IM1
IM2
IM3
EEF1
EEF2
EEF3
EEC1
EEC2
EEC3
TR1
TR2 0.000
TR3 0.069 0.000
ADT1 0.189 0.658 0.000
ADT2 -0.861 -0.418 -0.023 0.000
ADT3 -0.958 1.073 -0.275 0.287 0.000Discriminant validity check lhs op rhs est.std se z pvalue ci.lower ci.upper
1 IM =~ IM1 0.829 0.049 17.041 0 0.734 0.925
2 IM =~ IM2 0.847 0.055 15.402 0 0.739 0.954
3 IM =~ IM3 0.728 0.123 5.915 0 0.487 0.969
4 EEF =~ EEF1 0.899 0.023 38.346 0 0.853 0.945
5 EEF =~ EEF2 0.918 0.021 43.576 0 0.877 0.959
6 EEF =~ EEF3 0.894 0.035 25.461 0 0.825 0.963
7 EEC =~ EEC1 0.697 0.043 16.336 0 0.614 0.781
8 EEC =~ EEC2 0.853 0.037 23.332 0 0.782 0.925
9 EEC =~ EEC3 0.949 0.021 45.607 0 0.908 0.990
10 TR =~ TR1 0.881 0.023 37.666 0 0.835 0.927
11 TR =~ TR2 0.942 0.015 61.557 0 0.912 0.972
12 TR =~ TR3 0.915 0.024 38.348 0 0.868 0.961
13 ADT =~ ADT1 0.860 0.034 25.170 0 0.793 0.927
14 ADT =~ ADT2 0.891 0.031 28.791 0 0.830 0.951
15 ADT =~ ADT3 0.853 0.042 20.410 0 0.772 0.935AVE (IM, EEF, EEC, TR, ADT)[1] 0.6446725[1] 0.8167887[1] 0.7050291[1] 0.8334475[1] 0.7537063Square root of AVE (IM, EEF, EEC)[1] 0.802915[1] 0.9037636[1] 0.8396601[1] 0.9129335[1] 0.8681626 lhs rhs est.std
36 IM EEF 0.605
37 IM EEC 0.428
38 IM TR 0.204
39 IM ADT 0.134
40 EEF EEC 0.595
41 EEF TR 0.269
42 EEF ADT 0.287
43 EEC TR 0.294
44 EEC ADT 0.325
45 TR ADT 0.477Correlations between square root AVE with correlations (sqrt vs. correlations with the other constructsIM[1] 0.802915[1] 0.6046852[1] 0.4282258EEF[1] 0.9037636[1] 0.6046852[1] 0.5953453EEC[1] 0.8396601[1] 0.4282258[1] 0.5953453TR[1] 0.9129335[1] 0.4768178[1] 0.2040073ADT[1] 0.8681626[1] 0.4768178[1] 0.2040073[1] 0.1344079Group analysis
ADT group
lavaan 0.6-21 ended normally after 84 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 112
Number of observations per group:
1 108
0 92
Model Test User Model:
Standard Scaled
Test Statistic 236.062 243.417
Degrees of freedom 158 158
P-value (Chi-square) 0.000 0.000
Scaling correction factor 0.970
Yuan-Bentler correction (Mplus variant)
Test statistic for each group:
1 116.631 116.631
0 126.786 126.786
Model Test Baseline Model:
Test statistic 2091.765 1665.496
Degrees of freedom 210 210
P-value 0.000 0.000
Scaling correction factor 1.256
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.959 0.941
Tucker-Lewis Index (TLI) 0.945 0.922
Robust Comparative Fit Index (CFI) 0.955
Robust Tucker-Lewis Index (TLI) 0.940
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3401.549 -3401.549
Scaling correction factor 1.569
for the MLR correction
Loglikelihood unrestricted model (H1) -3283.519 -3283.519
Scaling correction factor 1.218
for the MLR correction
Akaike (AIC) 7027.099 7027.099
Bayesian (BIC) 7396.510 7396.510
Sample-size adjusted Bayesian (SABIC) 7041.683 7041.683
Root Mean Square Error of Approximation:
RMSEA 0.070 0.074
90 Percent confidence interval - lower 0.051 0.054
90 Percent confidence interval - upper 0.088 0.092
P-value H_0: RMSEA <= 0.050 0.044 0.024
P-value H_0: RMSEA >= 0.080 0.197 0.290
Robust RMSEA 0.072
90 Percent confidence interval - lower 0.054
90 Percent confidence interval - upper 0.090
P-value H_0: Robust RMSEA <= 0.050 0.026
P-value H_0: Robust RMSEA >= 0.080 0.248
Standardized Root Mean Square Residual:
SRMR 0.067 0.067
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Group 1 [1]:
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.848 0.905
IM2 0.787 0.095 8.318 0.000 0.667 0.820
IM3 0.653 0.148 4.405 0.000 0.554 0.535
EEF =~
EEF1 1.000 0.880 0.901
EEF2 1.059 0.069 15.370 0.000 0.931 0.912
EEF3 0.942 0.071 13.295 0.000 0.828 0.862
EEC =~
EEC1 1.000 0.956 0.735
EEC2 1.154 0.130 8.883 0.000 1.104 0.834
EEC3 1.260 0.122 10.367 0.000 1.205 0.932
TR =~
TR1 1.000 1.288 0.876
TR2 1.067 0.076 14.125 0.000 1.374 0.928
TR3 1.050 0.079 13.236 0.000 1.352 0.898
ADT =~
ADT1 1.000 0.415 0.702
ADT2 1.295 0.283 4.584 0.000 0.537 0.893
ADT3 1.020 0.248 4.110 0.000 0.423 0.652
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM2 ~~
.IM3 0.138 0.060 2.281 0.023 0.138 0.339
IM ~~
EEF 0.472 0.089 5.297 0.000 0.633 0.633
EEC 0.367 0.098 3.739 0.000 0.453 0.453
TR 0.290 0.130 2.231 0.026 0.266 0.266
ADT 0.024 0.048 0.505 0.613 0.069 0.069
EEF ~~
EEC 0.523 0.121 4.312 0.000 0.622 0.622
TR 0.365 0.126 2.901 0.004 0.322 0.322
ADT 0.076 0.051 1.478 0.139 0.208 0.208
EEC ~~
TR 0.418 0.122 3.422 0.001 0.339 0.339
ADT 0.089 0.050 1.782 0.075 0.224 0.224
TR ~~
ADT 0.244 0.076 3.205 0.001 0.457 0.457
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 5.463 0.090 60.580 0.000 5.463 5.829
.IM2 5.880 0.078 75.131 0.000 5.880 7.229
.IM3 5.676 0.100 57.000 0.000 5.676 5.485
.EEF1 5.639 0.094 60.031 0.000 5.639 5.776
.EEF2 5.778 0.098 58.788 0.000 5.778 5.657
.EEF3 5.824 0.092 63.008 0.000 5.824 6.063
.EEC1 4.565 0.125 36.489 0.000 4.565 3.511
.EEC2 4.731 0.127 37.149 0.000 4.731 3.575
.EEC3 4.778 0.124 38.389 0.000 4.778 3.694
.TR1 4.278 0.142 30.223 0.000 4.278 2.908
.TR2 4.222 0.142 29.641 0.000 4.222 2.852
.TR3 3.972 0.145 27.412 0.000 3.972 2.638
.ADT1 6.148 0.057 108.244 0.000 6.148 10.416
.ADT2 6.093 0.058 105.264 0.000 6.093 10.129
.ADT3 6.120 0.062 98.063 0.000 6.120 9.436
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.160 0.080 1.998 0.046 0.160 0.182
.IM2 0.217 0.057 3.824 0.000 0.217 0.328
.IM3 0.764 0.336 2.275 0.023 0.764 0.713
.EEF1 0.179 0.059 3.047 0.002 0.179 0.188
.EEF2 0.176 0.063 2.791 0.005 0.176 0.168
.EEF3 0.236 0.074 3.193 0.001 0.236 0.256
.EEC1 0.776 0.150 5.161 0.000 0.776 0.459
.EEC2 0.534 0.145 3.690 0.000 0.534 0.305
.EEC3 0.221 0.102 2.177 0.029 0.221 0.132
.TR1 0.505 0.133 3.790 0.000 0.505 0.233
.TR2 0.303 0.094 3.220 0.001 0.303 0.138
.TR3 0.439 0.165 2.658 0.008 0.439 0.194
.ADT1 0.177 0.050 3.539 0.000 0.177 0.507
.ADT2 0.073 0.061 1.207 0.228 0.073 0.203
.ADT3 0.242 0.051 4.748 0.000 0.242 0.575
IM 0.719 0.121 5.940 0.000 1.000 1.000
EEF 0.774 0.163 4.745 0.000 1.000 1.000
EEC 0.914 0.182 5.033 0.000 1.000 1.000
TR 1.659 0.256 6.488 0.000 1.000 1.000
ADT 0.172 0.054 3.174 0.002 1.000 1.000
Group 2 [0]:
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.913 0.913
IM2 0.626 0.197 3.180 0.001 0.572 0.689
IM3 0.701 0.228 3.079 0.002 0.640 0.751
EEF =~
EEF1 1.000 1.028 0.883
EEF2 1.032 0.100 10.296 0.000 1.061 0.911
EEF3 0.995 0.084 11.811 0.000 1.023 0.911
EEC =~
EEC1 1.000 0.701 0.610
EEC2 1.583 0.339 4.673 0.000 1.111 0.840
EEC3 1.701 0.281 6.062 0.000 1.193 0.976
TR =~
TR1 1.000 1.087 0.848
TR2 1.222 0.102 11.963 0.000 1.329 0.965
TR3 1.085 0.091 11.927 0.000 1.180 0.906
ADT =~
ADT1 1.000 0.597 0.852
ADT2 0.412 1.548 0.266 0.790 0.246 0.355
ADT3 0.466 1.595 0.292 0.770 0.278 0.373
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM2 ~~
.IM3 0.161 0.133 1.215 0.225 0.161 0.477
IM ~~
EEF 0.589 0.150 3.935 0.000 0.628 0.628
EEC 0.273 0.122 2.235 0.025 0.426 0.426
TR 0.059 0.136 0.433 0.665 0.059 0.059
ADT 0.107 0.356 0.299 0.765 0.196 0.196
EEF ~~
EEC 0.342 0.147 2.322 0.020 0.475 0.475
TR 0.040 0.134 0.302 0.763 0.036 0.036
ADT 0.043 0.251 0.170 0.865 0.070 0.070
EEC ~~
TR 0.034 0.097 0.350 0.726 0.045 0.045
ADT 0.079 0.230 0.343 0.731 0.188 0.188
TR ~~
ADT 0.168 0.162 1.039 0.299 0.260 0.260
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 5.098 0.104 48.865 0.000 5.098 5.095
.IM2 5.750 0.086 66.516 0.000 5.750 6.935
.IM3 5.543 0.089 62.387 0.000 5.543 6.504
.EEF1 5.054 0.121 41.636 0.000 5.054 4.341
.EEF2 5.239 0.121 43.156 0.000 5.239 4.499
.EEF3 5.272 0.117 44.991 0.000 5.272 4.691
.EEC1 4.065 0.120 33.915 0.000 4.065 3.536
.EEC2 3.967 0.138 28.775 0.000 3.967 3.000
.EEC3 4.065 0.128 31.882 0.000 4.065 3.324
.TR1 3.359 0.134 25.132 0.000 3.359 2.620
.TR2 3.337 0.144 23.237 0.000 3.337 2.423
.TR3 3.022 0.136 22.261 0.000 3.022 2.321
.ADT1 4.641 0.073 63.538 0.000 4.641 6.624
.ADT2 4.598 0.072 63.683 0.000 4.598 6.639
.ADT3 4.478 0.078 57.716 0.000 4.478 6.017
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.167 0.151 1.104 0.269 0.167 0.167
.IM2 0.361 0.141 2.555 0.011 0.361 0.525
.IM3 0.317 0.136 2.333 0.020 0.317 0.436
.EEF1 0.298 0.072 4.163 0.000 0.298 0.220
.EEF2 0.230 0.069 3.317 0.001 0.230 0.169
.EEF3 0.216 0.117 1.849 0.064 0.216 0.171
.EEC1 0.830 0.112 7.429 0.000 0.830 0.628
.EEC2 0.515 0.201 2.557 0.011 0.515 0.295
.EEC3 0.072 0.106 0.674 0.500 0.072 0.048
.TR1 0.462 0.096 4.786 0.000 0.462 0.281
.TR2 0.132 0.070 1.888 0.059 0.132 0.070
.TR3 0.304 0.088 3.434 0.001 0.304 0.179
.ADT1 0.135 1.059 0.127 0.899 0.135 0.275
.ADT2 0.419 0.286 1.466 0.143 0.419 0.874
.ADT3 0.477 0.336 1.417 0.156 0.477 0.861
IM 0.834 0.248 3.359 0.001 1.000 1.000
EEF 1.057 0.287 3.689 0.000 1.000 1.000
EEC 0.492 0.189 2.609 0.009 1.000 1.000
TR 1.181 0.215 5.505 0.000 1.000 1.000
ADT 0.356 1.068 0.333 0.739 1.000 1.000Trust group
lavaan 0.6-21 ended normally after 65 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 112
Number of observations per group:
1 89
0 111
Model Test User Model:
Standard Scaled
Test Statistic 254.081 261.482
Degrees of freedom 158 158
P-value (Chi-square) 0.000 0.000
Scaling correction factor 0.972
Yuan-Bentler correction (Mplus variant)
Test statistic for each group:
1 156.672 156.672
0 104.810 104.810
Model Test Baseline Model:
Test statistic 2025.174 1609.171
Degrees of freedom 210 210
P-value 0.000 0.000
Scaling correction factor 1.259
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.947 0.926
Tucker-Lewis Index (TLI) 0.930 0.902
Robust Comparative Fit Index (CFI) 0.943
Robust Tucker-Lewis Index (TLI) 0.924
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3385.373 -3385.373
Scaling correction factor 1.573
for the MLR correction
Loglikelihood unrestricted model (H1) -3258.332 -3258.332
Scaling correction factor 1.221
for the MLR correction
Akaike (AIC) 6994.745 6994.745
Bayesian (BIC) 7364.157 7364.157
Sample-size adjusted Bayesian (SABIC) 7009.329 7009.329
Root Mean Square Error of Approximation:
RMSEA 0.078 0.081
90 Percent confidence interval - lower 0.060 0.063
90 Percent confidence interval - upper 0.095 0.098
P-value H_0: RMSEA <= 0.050 0.008 0.004
P-value H_0: RMSEA >= 0.080 0.438 0.547
Robust RMSEA 0.080
90 Percent confidence interval - lower 0.062
90 Percent confidence interval - upper 0.097
P-value H_0: Robust RMSEA <= 0.050 0.004
P-value H_0: Robust RMSEA >= 0.080 0.504
Standardized Root Mean Square Residual:
SRMR 0.068 0.068
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Group 1 [1]:
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.883 0.934
IM2 0.775 0.098 7.876 0.000 0.685 0.833
IM3 0.736 0.124 5.935 0.000 0.650 0.677
EEF =~
EEF1 1.000 0.858 0.897
EEF2 1.034 0.086 11.960 0.000 0.887 0.877
EEF3 0.860 0.099 8.653 0.000 0.738 0.829
EEC =~
EEC1 1.000 0.837 0.727
EEC2 1.295 0.190 6.826 0.000 1.083 0.829
EEC3 1.353 0.168 8.040 0.000 1.133 0.908
TR =~
TR1 1.000 0.297 0.375
TR2 1.429 0.477 2.995 0.003 0.424 0.736
TR3 1.982 0.733 2.704 0.007 0.588 0.808
ADT =~
ADT1 1.000 0.906 0.927
ADT2 0.913 0.091 10.077 0.000 0.828 0.909
ADT3 0.933 0.077 12.121 0.000 0.846 0.814
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM2 ~~
.IM3 0.088 0.053 1.658 0.097 0.088 0.276
IM ~~
EEF 0.554 0.091 6.078 0.000 0.731 0.731
EEC 0.337 0.116 2.897 0.004 0.456 0.456
TR 0.017 0.044 0.394 0.693 0.067 0.067
ADT 0.193 0.116 1.666 0.096 0.241 0.241
EEF ~~
EEC 0.400 0.090 4.421 0.000 0.556 0.556
TR 0.042 0.040 1.058 0.290 0.165 0.165
ADT 0.249 0.097 2.560 0.010 0.320 0.320
EEC ~~
TR 0.035 0.044 0.796 0.426 0.142 0.142
ADT 0.269 0.093 2.893 0.004 0.355 0.355
TR ~~
ADT 0.106 0.059 1.789 0.074 0.395 0.395
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 5.416 0.100 54.018 0.000 5.416 5.726
.IM2 5.899 0.087 67.726 0.000 5.899 7.179
.IM3 5.719 0.102 56.217 0.000 5.719 5.959
.EEF1 5.596 0.101 55.184 0.000 5.596 5.850
.EEF2 5.742 0.107 53.551 0.000 5.742 5.676
.EEF3 5.831 0.094 61.824 0.000 5.831 6.553
.EEC1 4.573 0.122 37.503 0.000 4.573 3.975
.EEC2 4.719 0.139 34.069 0.000 4.719 3.611
.EEC3 4.798 0.132 36.301 0.000 4.798 3.848
.TR1 5.124 0.084 61.132 0.000 5.124 6.480
.TR2 5.225 0.061 85.605 0.000 5.225 9.074
.TR3 4.820 0.077 62.494 0.000 4.820 6.624
.ADT1 5.820 0.104 56.144 0.000 5.820 5.951
.ADT2 5.809 0.096 60.201 0.000 5.809 6.381
.ADT3 5.764 0.110 52.346 0.000 5.764 5.549
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.114 0.080 1.428 0.153 0.114 0.128
.IM2 0.206 0.048 4.283 0.000 0.206 0.306
.IM3 0.499 0.205 2.429 0.015 0.499 0.541
.EEF1 0.178 0.067 2.663 0.008 0.178 0.195
.EEF2 0.236 0.071 3.343 0.001 0.236 0.230
.EEF3 0.247 0.087 2.828 0.005 0.247 0.312
.EEC1 0.623 0.124 5.045 0.000 0.623 0.471
.EEC2 0.534 0.169 3.161 0.002 0.534 0.313
.EEC3 0.272 0.115 2.360 0.018 0.272 0.175
.TR1 0.537 0.134 4.006 0.000 0.537 0.859
.TR2 0.152 0.043 3.497 0.000 0.152 0.458
.TR3 0.184 0.104 1.761 0.078 0.184 0.348
.ADT1 0.135 0.060 2.267 0.023 0.135 0.141
.ADT2 0.143 0.060 2.395 0.017 0.143 0.173
.ADT3 0.364 0.179 2.036 0.042 0.364 0.337
IM 0.780 0.134 5.835 0.000 1.000 1.000
EEF 0.737 0.123 6.003 0.000 1.000 1.000
EEC 0.700 0.160 4.387 0.000 1.000 1.000
TR 0.088 0.065 1.354 0.176 1.000 1.000
ADT 0.822 0.158 5.205 0.000 1.000 1.000
Group 2 [0]:
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.925 0.923
IM2 0.600 0.178 3.363 0.001 0.555 0.678
IM3 0.573 0.210 2.722 0.006 0.530 0.559
EEF =~
EEF1 1.000 1.057 0.894
EEF2 1.046 0.083 12.551 0.000 1.105 0.939
EEF3 1.011 0.059 17.085 0.000 1.068 0.920
EEC =~
EEC1 1.000 0.862 0.660
EEC2 1.357 0.210 6.465 0.000 1.171 0.854
EEC3 1.461 0.175 8.353 0.000 1.260 0.974
TR =~
TR1 1.000 0.780 0.773
TR2 0.995 0.119 8.335 0.000 0.776 0.809
TR3 1.092 0.135 8.086 0.000 0.852 0.776
ADT =~
ADT1 1.000 0.682 0.761
ADT2 1.132 0.162 6.974 0.000 0.772 0.838
ADT3 1.246 0.170 7.321 0.000 0.850 0.859
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM2 ~~
.IM3 0.205 0.109 1.884 0.060 0.205 0.433
IM ~~
EEF 0.553 0.144 3.837 0.000 0.565 0.565
EEC 0.372 0.109 3.422 0.001 0.466 0.466
TR 0.237 0.096 2.462 0.014 0.329 0.329
ADT 0.041 0.077 0.537 0.591 0.066 0.066
EEF ~~
EEC 0.536 0.157 3.412 0.001 0.588 0.588
TR 0.150 0.090 1.665 0.096 0.182 0.182
ADT 0.118 0.083 1.415 0.157 0.163 0.163
EEC ~~
TR 0.090 0.080 1.125 0.260 0.134 0.134
ADT 0.099 0.076 1.292 0.196 0.168 0.168
TR ~~
ADT 0.118 0.066 1.780 0.075 0.222 0.222
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 5.198 0.095 54.609 0.000 5.198 5.183
.IM2 5.757 0.078 74.066 0.000 5.757 7.030
.IM3 5.532 0.090 61.511 0.000 5.532 5.838
.EEF1 5.189 0.112 46.261 0.000 5.189 4.391
.EEF2 5.360 0.112 48.011 0.000 5.360 4.557
.EEF3 5.360 0.110 48.649 0.000 5.360 4.618
.EEC1 4.144 0.124 33.399 0.000 4.144 3.170
.EEC2 4.108 0.130 31.565 0.000 4.108 2.996
.EEC3 4.171 0.123 33.972 0.000 4.171 3.224
.TR1 2.838 0.096 29.622 0.000 2.838 2.812
.TR2 2.685 0.091 29.512 0.000 2.685 2.801
.TR3 2.505 0.104 24.038 0.000 2.505 2.282
.ADT1 5.162 0.085 60.710 0.000 5.162 5.762
.ADT2 5.081 0.087 58.089 0.000 5.081 5.514
.ADT3 5.045 0.094 53.694 0.000 5.045 5.096
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.150 0.144 1.041 0.298 0.150 0.149
.IM2 0.363 0.126 2.875 0.004 0.363 0.541
.IM3 0.617 0.302 2.045 0.041 0.617 0.687
.EEF1 0.280 0.062 4.478 0.000 0.280 0.200
.EEF2 0.162 0.054 2.996 0.003 0.162 0.117
.EEF3 0.206 0.087 2.367 0.018 0.206 0.153
.EEC1 0.965 0.145 6.658 0.000 0.965 0.565
.EEC2 0.510 0.159 3.208 0.001 0.510 0.271
.EEC3 0.086 0.073 1.183 0.237 0.086 0.051
.TR1 0.411 0.100 4.096 0.000 0.411 0.403
.TR2 0.317 0.088 3.615 0.000 0.317 0.345
.TR3 0.479 0.159 3.023 0.002 0.479 0.398
.ADT1 0.337 0.090 3.751 0.000 0.337 0.420
.ADT2 0.253 0.086 2.928 0.003 0.253 0.298
.ADT3 0.257 0.081 3.196 0.001 0.257 0.263
IM 0.856 0.243 3.523 0.000 1.000 1.000
EEF 1.117 0.268 4.173 0.000 1.000 1.000
EEC 0.744 0.210 3.547 0.000 1.000 1.000
TR 0.608 0.119 5.107 0.000 1.000 1.000
ADT 0.465 0.113 4.134 0.000 1.000 1.000
Chi-Squared Difference Test
Df AIC BIC Chisq Chisq diff RMSEA Df diff Pr(>Chisq)
fit_config 158 6994.7 7364.2 254.08
fit_metric 168 6986.2 7322.6 265.51 11.4338 0.037866 10 0.3247
fit_scalar 178 6973.0 7276.4 272.30 6.7821 0.000000 10 0.7458 config metric scalar
chisq 254.08103369 265.51486855 272.29695138
df 158.00000000 168.00000000 178.00000000
cfi 0.94706787 0.94627796 0.94805074
rmsea 0.07798127 0.07618698 0.07278449
srmr 0.06776584 0.06818623 0.07072353<NA>
NA <NA>
NA <NA>
NA <NA>
NA lhs op rhs block group level mi epc sepc.lv sepc.all sepc.nox
238 IM3 ~~ ADT1 1 1 1 12.049 0.124 0.124 0.435 0.435
276 EEC1 ~~ ADT1 1 1 1 10.967 0.145 0.145 0.459 0.459
146 IM =~ EEC1 1 1 1 10.805 0.361 0.328 0.289 0.289
148 IM =~ EEC3 1 1 1 10.067 -0.336 -0.306 -0.244 -0.244SEM
Without control variables
Without control variableslavaan 0.6-21 ended normally after 48 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 36
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 109.074 104.691
Degrees of freedom 54 54
P-value (Chi-square) 0.000 0.000
Scaling correction factor 1.042
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 1335.626 1012.563
Degrees of freedom 81 81
P-value 0.000 0.000
Scaling correction factor 1.319
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.956 0.946
Tucker-Lewis Index (TLI) 0.934 0.918
Robust Comparative Fit Index (CFI) 0.957
Robust Tucker-Lewis Index (TLI) 0.936
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -2111.505 -2111.505
Scaling correction factor 1.748
for the MLR correction
Loglikelihood unrestricted model (H1) -2056.968 -2056.968
Scaling correction factor 1.324
for the MLR correction
Akaike (AIC) 4295.010 4295.010
Bayesian (BIC) 4413.750 4413.750
Sample-size adjusted Bayesian (SABIC) 4299.698 4299.698
Root Mean Square Error of Approximation:
RMSEA 0.071 0.069
90 Percent confidence interval - lower 0.052 0.049
90 Percent confidence interval - upper 0.091 0.088
P-value H_0: RMSEA <= 0.050 0.037 0.058
P-value H_0: RMSEA >= 0.080 0.244 0.169
Robust RMSEA 0.070
90 Percent confidence interval - lower 0.050
90 Percent confidence interval - upper 0.090
P-value H_0: Robust RMSEA <= 0.050 0.053
P-value H_0: Robust RMSEA >= 0.080 0.213
Standardized Root Mean Square Residual:
SRMR 0.044 0.044
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.814 0.827
IM2 0.855 0.105 8.164 0.000 0.696 0.846
IM3 0.860 0.146 5.879 0.000 0.700 0.731
EEF =~
EEF1 1.000 0.994 0.899
EEF2 1.038 0.063 16.531 0.000 1.032 0.920
EEF3 0.965 0.050 19.117 0.000 0.959 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.345 0.135 9.946 0.000 1.183 0.859
EEC3 1.403 0.113 12.388 0.000 1.234 0.942
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd1_1 (b_11) 0.291 0.195 1.495 0.135 0.358 0.131
rwrd0_2 (b_02) 0.194 0.212 0.915 0.360 0.238 0.092
rwrd1_2 (b_12) 0.353 0.167 2.115 0.034 0.434 0.161
rwrd0_3 (b_03) 0.143 0.226 0.634 0.526 0.176 0.064
rwrd1_3 (b_13) -0.101 0.211 -0.479 0.632 -0.124 -0.046
EEF ~
rwrd1_1 (c_11) 0.131 0.186 0.704 0.481 0.132 0.048
rwrd0_2 (c_02) -0.161 0.202 -0.798 0.425 -0.162 -0.062
rwrd1_2 (c_12) -0.017 0.202 -0.084 0.933 -0.017 -0.006
rwrd0_3 (c_03) -0.261 0.177 -1.474 0.141 -0.263 -0.095
rwrd1_3 (c_13) 0.003 0.191 0.015 0.988 0.003 0.001
IM (c_IM) 0.736 0.087 8.427 0.000 0.603 0.603
EEC ~
rwrd1_1 (d_11) 0.068 0.197 0.346 0.730 0.077 0.028
rwrd0_2 (d_02) 0.216 0.191 1.131 0.258 0.246 0.094
rwrd1_2 (d_12) 0.188 0.189 0.991 0.322 0.213 0.079
rwrd0_3 (d_03) 0.172 0.170 1.014 0.310 0.196 0.071
rwrd1_3 (d_13) 0.031 0.205 0.151 0.880 0.035 0.013
IM (d_IM) 0.101 0.104 0.973 0.331 0.094 0.094
EEF (d_EE) 0.481 0.081 5.963 0.000 0.544 0.544
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.305 0.085 3.579 0.000 0.305 0.315
.IM2 0.193 0.060 3.219 0.001 0.193 0.284
.IM3 0.427 0.217 1.968 0.049 0.427 0.465
.EEF1 0.235 0.046 5.078 0.000 0.235 0.192
.EEF2 0.194 0.046 4.191 0.000 0.194 0.154
.EEF3 0.235 0.065 3.601 0.000 0.235 0.203
.EEC1 0.809 0.097 8.371 0.000 0.809 0.511
.EEC2 0.496 0.113 4.406 0.000 0.496 0.262
.EEC3 0.194 0.066 2.949 0.003 0.194 0.113
.IM 0.638 0.109 5.835 0.000 0.963 0.963
.EEF 0.611 0.138 4.419 0.000 0.619 0.619
.EEC 0.482 0.089 5.397 0.000 0.623 0.623
R-Square:
Estimate
IM1 0.685
IM2 0.716
IM3 0.535
EEF1 0.808
EEF2 0.846
EEF3 0.797
EEC1 0.489
EEC2 0.738
EEC3 0.887
IM 0.037
EEF 0.381
EEC 0.377With control variables
With controls_r0e1 reference grouplavaan 0.6-21 ended normally after 54 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.045 0.045
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.657 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.018 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.532 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd1_1 (b_11) 0.373 0.167 2.241 0.025 0.466 0.171
rwrd0_2 (b_02) 0.252 0.186 1.358 0.175 0.315 0.121
rwrd1_2 (b_12) 0.449 0.143 3.138 0.002 0.560 0.208
rwrd0_3 (b_03) 0.274 0.204 1.346 0.178 0.342 0.124
rwrd1_3 (b_13) 0.015 0.172 0.086 0.932 0.018 0.007
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.087 0.450
EEF ~
rwrd1_1 (c_11) 0.157 0.185 0.850 0.395 0.158 0.058
rwrd0_2 (c_02) -0.133 0.187 -0.710 0.478 -0.133 -0.051
rwrd1_2 (c_12) 0.070 0.190 0.368 0.713 0.070 0.026
rwrd0_3 (c_03) -0.214 0.172 -1.246 0.213 -0.214 -0.078
rwrd1_3 (c_13) 0.029 0.188 0.154 0.877 0.029 0.011
IM (c_IM) 0.624 0.100 6.254 0.000 0.502 0.502
TR (c_TR) 0.050 0.056 0.899 0.368 0.065 0.065
ADT (c_AD) 0.231 0.080 2.890 0.004 0.198 0.198
PEB_yes (c_PE) 0.277 0.179 1.547 0.122 0.278 0.115
EEC ~
rwrd1_1 (d_11) 0.054 0.197 0.276 0.782 0.062 0.023
rwrd0_2 (d_02) 0.210 0.193 1.087 0.277 0.238 0.091
rwrd1_2 (d_12) 0.217 0.181 1.198 0.231 0.246 0.091
rwrd0_3 (d_03) 0.148 0.168 0.879 0.380 0.168 0.061
rwrd1_3 (d_13) 0.035 0.192 0.183 0.855 0.040 0.015
IM (d_IM) 0.109 0.112 0.968 0.333 0.099 0.099
TR (d_TR) 0.060 0.049 1.234 0.217 0.088 0.088
ADT (d_AD) 0.136 0.077 1.759 0.079 0.131 0.131
PEB_yes (d_PE) -0.045 0.149 -0.303 0.762 -0.051 -0.021
EEF (e_EE) 0.426 0.079 5.396 0.000 0.483 0.483
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.564 0.128 4.414 0.000 0.568 0.568
.EEC 0.459 0.085 5.406 0.000 0.592 0.592
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.432
EEC 0.408
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.171
reward2_IM 0.197 0.182 1.079 0.281 0.245 0.087
reward3_IM -0.259 0.216 -1.200 0.230 -0.324 -0.117
reward_avg_IM 0.104 0.111 0.931 0.352 0.129 0.047
eco2_noRwrd_IM 0.252 0.186 1.358 0.175 0.315 0.121
eco3_noRwrd_IM 0.274 0.204 1.346 0.178 0.342 0.124
eco2_reward_IM 0.076 0.159 0.475 0.635 0.094 0.037
eco3_reward_IM -0.359 0.180 -1.995 0.046 -0.448 -0.164
eco2_IM 0.164 0.121 1.351 0.177 0.205 0.079
eco3_IM -0.042 0.136 -0.310 0.756 -0.053 -0.020
eco_avg_IM 0.061 0.110 0.556 0.579 0.076 0.029
reward1_EEF 0.157 0.185 0.850 0.395 0.158 0.058
reward2_EEF 0.203 0.220 0.922 0.357 0.204 0.077
reward3_EEF 0.243 0.199 1.218 0.223 0.244 0.088
reward_avg_EEF 0.201 0.118 1.696 0.090 0.202 0.074
ind_rewrd1_EEF 0.233 0.110 2.124 0.034 0.234 0.086
ind_rewrd2_EEF 0.123 0.111 1.105 0.269 0.123 0.044
ind_rewrd3_EEF -0.162 0.138 -1.171 0.242 -0.162 -0.059
ind_rwrd_v_EEF 0.065 0.069 0.943 0.346 0.065 0.024
tt_rwrd_vg_EEF 0.266 0.128 2.072 0.038 0.267 0.098
reward1_EEC 0.054 0.197 0.276 0.782 0.062 0.023
reward2_EEC 0.007 0.173 0.042 0.967 0.008 -0.000
reward3_EEC -0.113 0.177 -0.639 0.523 -0.128 -0.046
reward_avg_EEC -0.017 0.103 -0.165 0.869 -0.019 -0.008
ind_rewrd1_EEC 0.041 0.045 0.911 0.362 0.046 0.017
ind_rewrd2_EEC 0.021 0.030 0.706 0.480 0.024 0.009
ind_rewrd3_EEC -0.028 0.037 -0.758 0.448 -0.032 -0.012
ind_rwrd_v_EEC 0.011 0.017 0.672 0.502 0.013 0.005
tt_rwrd_vg_EEC -0.006 0.105 -0.056 0.956 -0.007 -0.003
eco2_dirct_EEF -0.110 0.144 -0.762 0.446 -0.110 -0.041
eco3_dirct_EEF -0.171 0.136 -1.254 0.210 -0.171 -0.062
ec_vg_drct_EEF -0.140 0.119 -1.185 0.236 -0.141 -0.052
eco2_IM_effect 0.164 0.121 1.351 0.177 0.205 0.079
eco3_IM_effect -0.042 0.136 -0.310 0.756 -0.053 -0.020
ind_eco2_EEF 0.102 0.080 1.281 0.200 0.103 0.040
ind_eco3_EEF -0.026 0.085 -0.311 0.756 -0.027 -0.010
ind_eco_vg_EEF 0.038 0.070 0.546 0.585 0.038 0.015
tot_eco2_EEF -0.008 0.152 -0.050 0.960 -0.008 -0.002
tot_eco3_EEF -0.197 0.151 -1.311 0.190 -0.198 -0.072
tot_eco_vg_EEF -0.102 0.127 -0.808 0.419 -0.103 -0.037
eco2_dirct_EEC 0.186 0.136 1.367 0.172 0.211 0.080
eco3_dirct_EEC 0.064 0.130 0.496 0.620 0.073 0.026
ec_vg_drct_EEC 0.125 0.117 1.065 0.287 0.142 0.053
ec2_IM_ffc_EEC 0.164 0.121 1.351 0.177 0.205 0.079
ec3_IM_ffc_EEC -0.042 0.136 -0.310 0.756 -0.053 -0.020
ind_eco2_EEC 0.018 0.022 0.796 0.426 0.020 0.008
ind_eco3_EEC -0.005 0.016 -0.295 0.768 -0.005 -0.002
ind_eco_vg_EEC 0.007 0.014 0.486 0.627 0.008 0.003
tot_eco2_EEC 0.204 0.137 1.489 0.137 0.232 0.088
tot_eco3_EEC 0.060 0.128 0.465 0.642 0.068 0.024
tot_eco_vg_EEC 0.132 0.117 1.124 0.261 0.150 0.056
i_IM__EEF__EEC 0.266 0.065 4.077 0.000 0.242 0.242
t_IM__EEC__EEF 0.375 0.107 3.505 0.000 0.341 0.341Mediation analysis
Mediation analysis lhs op rhs
130 tot_reward_avg_EEF := reward_avg_EEF+ind_reward_avg_EEF
139 tot_reward_avg_EEC := reward_avg_EEC+ind_reward_avg_EEC
150 tot_eco_avg_EEF := eco_avg_direct_EEF+ind_eco_avg_EEF
161 tot_eco_avg_EEC := eco_avg_direct_EEC+ind_eco_avg_EEC
162 ind_IM_via_EEF_to_EEC := c_IM*e_EEF
label est se z pvalue ci.lower ci.upper std.lv
130 tot_reward_avg_EEF 0.266 0.130 2.036 0.042 -0.012 0.508 0.267
139 tot_reward_avg_EEC -0.006 0.111 -0.053 0.958 -0.223 0.223 -0.007
150 tot_eco_avg_EEF -0.102 0.129 -0.795 0.426 -0.357 0.153 -0.103
161 tot_eco_avg_EEC 0.132 0.118 1.112 0.266 -0.095 0.365 0.150
162 ind_IM_via_EEF_to_EEC 0.266 0.071 3.728 0.000 0.142 0.417 0.242
std.all std.nox
130 0.098 0.267
139 -0.003 -0.007
150 -0.037 -0.103
161 0.056 0.150
162 0.242 0.242Main effect of sustainability focus
1 2 3
-0.5 -0.5 1.0 1 2 3
-1 1 0 [1] -0.5[1] -0.00409678[1] -0.0275[1] 0.005lavaan 0.6-21 ended normally after 85 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 64
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 164.983 153.745
Degrees of freedom 116 116
P-value (Chi-square) 0.002 0.011
Scaling correction factor 1.073
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2404.559 1865.794
Degrees of freedom 150 150
P-value 0.000 0.000
Scaling correction factor 1.289
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.978 0.978
Tucker-Lewis Index (TLI) 0.972 0.972
Robust Comparative Fit Index (CFI) 0.982
Robust Tucker-Lewis Index (TLI) 0.976
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3553.749 -3553.749
Scaling correction factor 1.574
for the MLR correction
Loglikelihood unrestricted model (H1) -3471.257 -3471.257
Scaling correction factor 1.251
for the MLR correction
Akaike (AIC) 7235.497 7235.497
Bayesian (BIC) 7446.589 7446.589
Sample-size adjusted Bayesian (SABIC) 7243.831 7243.831
Root Mean Square Error of Approximation:
RMSEA 0.046 0.040
90 Percent confidence interval - lower 0.029 0.021
90 Percent confidence interval - upper 0.061 0.056
P-value H_0: RMSEA <= 0.050 0.650 0.835
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.042
90 Percent confidence interval - lower 0.021
90 Percent confidence interval - upper 0.059
P-value H_0: Robust RMSEA <= 0.050 0.775
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.045 0.045
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.806 0.820
IM2 0.868 0.092 9.467 0.000 0.700 0.850
IM3 0.874 0.135 6.490 0.000 0.705 0.736
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.032 0.061 16.835 0.000 1.028 0.917
EEF3 0.964 0.051 19.059 0.000 0.961 0.894
EEC =~
EEC1 1.000 0.881 0.700
EEC2 1.339 0.133 10.074 0.000 1.179 0.855
EEC3 1.411 0.115 12.251 0.000 1.243 0.947
TR =~
TR1 1.000 1.288 0.881
TR2 1.097 0.053 20.852 0.000 1.413 0.942
TR3 1.060 0.054 19.532 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.852 0.861
ADT2 1.028 0.084 12.259 0.000 0.876 0.889
ADT3 1.076 0.080 13.484 0.000 0.917 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
c1 (IM_V) -0.080 0.083 -0.968 0.333 -0.100 -0.069
c2 (IM_E) 0.086 0.063 1.368 0.171 0.106 0.088
TR (IM_T) 0.091 0.047 1.930 0.054 0.145 0.145
ADT (IM_A) 0.078 0.083 0.945 0.345 0.083 0.083
PEB_ys (IM_P) 0.848 0.137 6.207 0.000 1.052 0.436
EEF ~
c1 (EEF_V) -0.073 0.084 -0.874 0.382 -0.073 -0.051
c2 (EEF_E) -0.056 0.072 -0.769 0.442 -0.056 -0.046
IM (EEF_I) 0.630 0.098 6.429 0.000 0.510 0.510
TR (EEF_T) 0.049 0.056 0.877 0.381 0.064 0.064
ADT (EEF_A) 0.226 0.081 2.794 0.005 0.193 0.193
PEB_ys (EEF_P) 0.263 0.178 1.477 0.140 0.264 0.109
EEC ~
c1 (EEC_V) -0.019 0.072 -0.263 0.793 -0.021 -0.015
c2 (EEC_E) 0.092 0.068 1.354 0.176 0.105 0.087
IM (EEC_I) 0.118 0.109 1.083 0.279 0.108 0.108
TR (EEC_T) 0.060 0.049 1.233 0.217 0.088 0.088
ADT (EEC_A) 0.137 0.078 1.756 0.079 0.132 0.132
PEB_ys (EEC_P) -0.057 0.148 -0.384 0.701 -0.064 -0.027
EEF (EEC__) 0.423 0.080 5.286 0.000 0.478 0.478
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.542 0.000 0.477 0.477
Intercepts:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 4.631 0.122 37.897 0.000 4.631 4.710
.IM2 5.244 0.108 48.527 0.000 5.244 6.374
.IM3 5.034 0.118 42.633 0.000 5.034 5.261
.EEF1 4.744 0.135 35.130 0.000 4.744 4.290
.EEF2 4.884 0.144 33.809 0.000 4.884 4.353
.EEF3 4.967 0.136 36.646 0.000 4.967 4.621
.EEC1 4.035 0.125 32.256 0.000 4.035 3.205
.EEC2 3.979 0.161 24.748 0.000 3.979 2.886
.EEC3 4.027 0.164 24.489 0.000 4.027 3.068
.TR1 3.855 0.103 37.320 0.000 3.855 2.639
.TR2 3.815 0.106 35.962 0.000 3.815 2.543
.TR3 3.535 0.106 33.487 0.000 3.535 2.368
.ADT1 5.455 0.070 78.009 0.000 5.455 5.516
.ADT2 5.405 0.070 77.572 0.000 5.405 5.485
.ADT3 5.365 0.076 70.697 0.000 5.365 4.999
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.317 0.082 3.876 0.000 0.317 0.328
.IM2 0.187 0.051 3.656 0.000 0.187 0.277
.IM3 0.419 0.210 1.997 0.046 0.419 0.458
.EEF1 0.230 0.046 4.983 0.000 0.230 0.188
.EEF2 0.201 0.046 4.344 0.000 0.201 0.160
.EEF3 0.232 0.065 3.596 0.000 0.232 0.201
.EEC1 0.810 0.096 8.396 0.000 0.810 0.511
.EEC2 0.510 0.110 4.633 0.000 0.510 0.268
.EEC3 0.179 0.065 2.761 0.006 0.179 0.104
.TR1 0.476 0.086 5.543 0.000 0.476 0.223
.TR2 0.254 0.065 3.915 0.000 0.254 0.113
.TR3 0.366 0.094 3.888 0.000 0.366 0.164
.ADT1 0.253 0.060 4.181 0.000 0.253 0.258
.ADT2 0.204 0.056 3.657 0.000 0.204 0.210
.ADT3 0.311 0.092 3.401 0.001 0.311 0.270
.IM 0.490 0.085 5.752 0.000 0.754 0.754
.EEF 0.572 0.124 4.623 0.000 0.576 0.576
.EEC 0.461 0.085 5.432 0.000 0.594 0.594
TR 1.658 0.178 9.315 0.000 1.000 1.000
ADT 0.725 0.097 7.503 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.672
IM2 0.723
IM3 0.542
EEF1 0.812
EEF2 0.840
EEF3 0.799
EEC1 0.489
EEC2 0.732
EEC3 0.896
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.742
ADT2 0.790
ADT3 0.730
IM 0.246
EEF 0.424
EEC 0.406
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
tt_dlVsSngl_IM -0.080 0.083 -0.968 0.333 -0.100 -0.069
tt_EECvsEEF_IM 0.086 0.063 1.368 0.171 0.106 0.088
ind_dVS_EEF_IM -0.051 0.053 -0.958 0.338 -0.051 -0.035
i_EECEEF_EEF_I 0.054 0.041 1.299 0.194 0.054 0.045
tt_dlVsSng_EEF -0.124 0.093 -1.326 0.185 -0.124 -0.087
tt_EECvEEF_EEF -0.002 0.078 -0.021 0.983 -0.002 -0.001
ind_dVS_EEC_IM -0.009 0.013 -0.717 0.473 -0.011 -0.007
i_EECEEF_EEC_I 0.010 0.011 0.878 0.380 0.011 0.009
ind_VS_EEC_EEF -0.031 0.037 -0.840 0.401 -0.035 -0.024
i_EECEEF_EEC_E -0.023 0.030 -0.771 0.441 -0.027 -0.022
i_VS_EEC_IM_EE -0.021 0.023 -0.931 0.352 -0.024 -0.017
i_EECEEF_EEC_I 0.023 0.018 1.275 0.202 0.026 0.021
ind_dlVsS_EEC_ -0.062 0.048 -1.288 0.198 -0.070 -0.049
in_EECEEF_EEC_ 0.009 0.037 0.255 0.799 0.011 0.009
tt_dlVsSng_EEC -0.081 0.078 -1.035 0.301 -0.092 -0.064
tt_EECvEEF_EEC 0.102 0.079 1.292 0.196 0.115 0.096 lhs op
16 IM ~
17 IM ~
18 IM ~
19 IM ~
20 IM ~
21 EEF ~
22 EEF ~
23 EEF ~
24 EEF ~
25 EEF ~
26 EEF ~
27 EEC ~
28 EEC ~
29 EEC ~
30 EEC ~
31 EEC ~
32 EEC ~
33 EEC ~
84 tot_dualVsSingle_IM :=
85 tot_EECvsEEF_IM :=
86 ind_dualVsSingle_EEF_viaIM :=
87 ind_EECvsEEF_EEF_viaIM :=
88 tot_dualVsSingle_EEF :=
89 tot_EECvsEEF_EEF :=
90 ind_dualVsSingle_EEC_viaIM :=
91 ind_EECvsEEF_EEC_viaIM :=
92 ind_dualVsSingle_EEC_viaEEF :=
93 ind_EECvsEEF_EEC_viaEEF :=
94 ind_dualVsSingle_EEC_viaIM_EEF :=
95 ind_EECvsEEF_EEC_viaIM_EEF :=
96 ind_dualVsSingle_EEC_total :=
97 ind_EECvsEEF_EEC_total :=
98 tot_dualVsSingle_EEC :=
99 tot_EECvsEEF_EEC :=
rhs
16 c1
17 c2
18 TR
19 ADT
20 PEB_yes
21 c1
22 c2
23 IM
24 TR
25 ADT
26 PEB_yes
27 c1
28 c2
29 IM
30 TR
31 ADT
32 PEB_yes
33 EEF
84 IM_dualVsSingle
85 IM_EECvsEEF
86 IM_dualVsSingle*EEF_IM
87 IM_EECvsEEF*EEF_IM
88 EEF_dualVsSingle+ind_dualVsSingle_EEF_viaIM
89 EEF_EECvsEEF+ind_EECvsEEF_EEF_viaIM
90 IM_dualVsSingle*EEC_IM
91 IM_EECvsEEF*EEC_IM
92 EEF_dualVsSingle*EEC_from_EEF
93 EEF_EECvsEEF*EEC_from_EEF
94 IM_dualVsSingle*EEF_IM*EEC_from_EEF
95 IM_EECvsEEF*EEF_IM*EEC_from_EEF
96 ind_dualVsSingle_EEC_viaIM+ind_dualVsSingle_EEC_viaEEF+ind_dualVsSingle_EEC_viaIM_EEF
97 ind_EECvsEEF_EEC_viaIM+ind_EECvsEEF_EEC_viaEEF+ind_EECvsEEF_EEC_viaIM_EEF
98 EEC_dualVsSingle+ind_dualVsSingle_EEC_total
99 EEC_EECvsEEF+ind_EECvsEEF_EEC_total
label est
16 IM_dualVsSingle -0.080
17 IM_EECvsEEF 0.086
18 IM_TR 0.091
19 IM_ADT 0.078
20 IM_PEB 0.848
21 EEF_dualVsSingle -0.073
22 EEF_EECvsEEF -0.056
23 EEF_IM 0.630
24 EEF_TR 0.049
25 EEF_ADT 0.226
26 EEF_PEB 0.263
27 EEC_dualVsSingle -0.019
28 EEC_EECvsEEF 0.092
29 EEC_IM 0.118
30 EEC_TR 0.060
31 EEC_ADT 0.137
32 EEC_PEB -0.057
33 EEC_from_EEF 0.423
84 tot_dualVsSingle_IM -0.080
85 tot_EECvsEEF_IM 0.086
86 ind_dualVsSingle_EEF_viaIM -0.051
87 ind_EECvsEEF_EEF_viaIM 0.054
88 tot_dualVsSingle_EEF -0.124
89 tot_EECvsEEF_EEF -0.002
90 ind_dualVsSingle_EEC_viaIM -0.009
91 ind_EECvsEEF_EEC_viaIM 0.010
92 ind_dualVsSingle_EEC_viaEEF -0.031
93 ind_EECvsEEF_EEC_viaEEF -0.023
94 ind_dualVsSingle_EEC_viaIM_EEF -0.021
95 ind_EECvsEEF_EEC_viaIM_EEF 0.023
96 ind_dualVsSingle_EEC_total -0.062
97 ind_EECvsEEF_EEC_total 0.009
98 tot_dualVsSingle_EEC -0.081
99 tot_EECvsEEF_EEC 0.102$stat
[1] 2.77972
$df
[1] 2
$p.value
[1] 0.2491102
$se
[1] "robust.huber.white"$stat
[1] 3.500851
$df
[1] 4
$p.value
[1] 0.4777489
$se
[1] "robust.huber.white"$stat
[1] 5.984621
$df
[1] 6
$p.value
[1] 0.4249151
$se
[1] "robust.huber.white"$stat
[1] 5.96202
$df
[1] 6
$p.value
[1] 0.4274581
$se
[1] "robust.huber.white" [1] lhs op rhs label est se z pvalue
[9] ci.lower ci.upper std.lv std.all std.nox
<0 rows> (or 0-length row.names)Modified final with latent
Derived modellavaan 0.6-21 ended normally after 40 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 39
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 180.687 165.797
Degrees of freedom 126 126
P-value (Chi-square) 0.001 0.010
Scaling correction factor 1.090
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2412.392 1857.310
Degrees of freedom 150 150
P-value 0.000 0.000
Scaling correction factor 1.299
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.971 0.972
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.977
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3557.684 -3557.684
Scaling correction factor 1.909
for the MLR correction
Loglikelihood unrestricted model (H1) -3467.340 -3467.340
Scaling correction factor 1.283
for the MLR correction
Akaike (AIC) 7193.367 7193.367
Bayesian (BIC) 7322.002 7322.002
Sample-size adjusted Bayesian (SABIC) 7198.446 7198.446
Root Mean Square Error of Approximation:
RMSEA 0.047 0.040
90 Percent confidence interval - lower 0.030 0.021
90 Percent confidence interval - upper 0.061 0.055
P-value H_0: RMSEA <= 0.050 0.632 0.862
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.041
90 Percent confidence interval - lower 0.021
90 Percent confidence interval - upper 0.058
P-value H_0: Robust RMSEA <= 0.050 0.790
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.059 0.059
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR =~
TR1 1.000 1.287 0.881
TR2 1.099 0.053 20.815 0.000 1.414 0.943
TR3 1.061 0.054 19.640 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.850 0.860
ADT2 1.032 0.082 12.582 0.000 0.877 0.890
ADT3 1.077 0.079 13.645 0.000 0.916 0.853
IM =~
IM1 1.000 0.796 0.811
IM2 0.881 0.081 10.900 0.000 0.701 0.853
IM3 0.884 0.125 7.044 0.000 0.704 0.736
EEF =~
EEF1 1.000 0.989 0.897
EEF2 1.038 0.063 16.506 0.000 1.026 0.918
EEF3 0.968 0.051 19.164 0.000 0.957 0.893
EEC =~
EEC1 1.000 0.873 0.695
EEC2 1.340 0.132 10.129 0.000 1.170 0.851
EEC3 1.425 0.115 12.406 0.000 1.244 0.951
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_11) -0.228 0.130 -1.747 0.081 -0.286 -0.110
rwrd1_2 (b_12) 0.227 0.117 1.938 0.053 0.285 0.106
TR (b_TR) 0.120 0.044 2.701 0.007 0.194 0.194
PEB_yes (b_PE) 0.881 0.125 7.029 0.000 1.107 0.458
EEF ~
IM (c_IM) 0.729 0.087 8.350 0.000 0.587 0.587
ADT (c_AD) 0.258 0.074 3.487 0.000 0.221 0.221
EEC ~
ADT (d_AD) 0.174 0.074 2.341 0.019 0.170 0.170
EEF (d_EE) 0.484 0.069 6.989 0.000 0.549 0.549
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.526 0.094 5.567 0.000 0.481 0.481
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.TR1 0.479 0.086 5.592 0.000 0.479 0.224
.TR2 0.251 0.065 3.881 0.000 0.251 0.111
.TR3 0.366 0.094 3.917 0.000 0.366 0.164
.ADT1 0.255 0.061 4.192 0.000 0.255 0.261
.ADT2 0.201 0.055 3.651 0.000 0.201 0.207
.ADT3 0.314 0.092 3.410 0.001 0.314 0.272
.IM1 0.330 0.077 4.269 0.000 0.330 0.343
.IM2 0.183 0.046 3.977 0.000 0.183 0.272
.IM3 0.419 0.205 2.039 0.041 0.419 0.458
.EEF1 0.237 0.046 5.163 0.000 0.237 0.195
.EEF2 0.197 0.046 4.305 0.000 0.197 0.158
.EEF3 0.232 0.065 3.581 0.000 0.232 0.202
.EEC1 0.817 0.097 8.435 0.000 0.817 0.517
.EEC2 0.520 0.111 4.702 0.000 0.520 0.275
.EEC3 0.163 0.064 2.533 0.011 0.163 0.095
TR 1.655 0.178 9.301 0.000 1.000 1.000
ADT 0.723 0.096 7.526 0.000 1.000 1.000
.IM 0.464 0.078 5.927 0.000 0.733 0.733
.EEF 0.570 0.126 4.521 0.000 0.583 0.583
.EEC 0.472 0.087 5.421 0.000 0.619 0.619
R-Square:
Estimate
TR1 0.776
TR2 0.889
TR3 0.836
ADT1 0.739
ADT2 0.793
ADT3 0.728
IM1 0.657
IM2 0.728
IM3 0.542
EEF1 0.805
EEF2 0.842
EEF3 0.798
EEC1 0.483
EEC2 0.725
EEC3 0.905
IM 0.267
EEF 0.417
EEC 0.381Model fit comparison
No controls vs. With controls
Scaled Chi-Squared Difference Test (method = "satorra.bentler.2010")
lavaan->lavTestLRT():
lavaan NOTE: The "Chisq" column contains standard test statistics, not the
robust test that should be reported per model. A robust difference test is
a function of two standard (not robust) statistics.
Df AIC BIC Chisq Chisq diff RMSEA Df diff Pr(>Chisq)
fit_no_control 54 4295.0 4413.7 109.07
fit_with_control 152 7212.8 7404.1 205.42 88.529 0 98 0.7427With controls vs. derived model
Scaled Chi-Squared Difference Test (method = "satorra.bentler.2010")
lavaan->lavTestLRT():
lavaan NOTE: The "Chisq" column contains standard test statistics, not the
robust test that should be reported per model. A robust difference test is
a function of two standard (not robust) statistics.
Df AIC BIC Chisq Chisq diff RMSEA Df diff
fit_with_control_derived 126 7193.4 7322.0 180.69
fit_with_control 152 7212.8 7404.1 205.42 26.814 0.012014 26
Pr(>Chisq)
fit_with_control_derived
fit_with_control 0.4192Interaction graphs
IM
Call:
lm(formula = IM_mean ~ IM_FS, data = data_filtered)
Residuals:
Min 1Q Median 3Q Max
-0.84583 -0.04604 0.00207 0.05481 0.39539
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 5.576667 0.009282 600.80 <2e-16 ***
IM_FS 1.043499 0.012231 85.31 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.1313 on 198 degrees of freedom
Multiple R-squared: 0.9735, Adjusted R-squared: 0.9734
F-statistic: 7278 on 1 and 198 DF, p-value: < 2.2e-16
EEF
Call:
lm(formula = EEF_mean ~ EEF_FS, data = data_filtered)
Residuals:
Min 1Q Median 3Q Max
-0.20633 -0.04978 -0.00229 0.04332 0.24475
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 5.490000 0.005356 1025.0 <2e-16 ***
EEF_FS 1.070016 0.005570 192.1 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.07575 on 198 degrees of freedom
Multiple R-squared: 0.9947, Adjusted R-squared: 0.9946
F-statistic: 3.69e+04 on 1 and 198 DF, p-value: < 2.2e-16
EEC
Call:
lm(formula = EEC_mean ~ EEC_FS, data = data_filtered)
Residuals:
Min 1Q Median 3Q Max
-0.82279 -0.14293 0.03765 0.16920 0.60345
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 4.38833 0.01771 247.81 <2e-16 ***
EEC_FS 1.34672 0.02094 64.33 <2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.2504 on 198 degrees of freedom
Multiple R-squared: 0.9543, Adjusted R-squared: 0.9541
F-statistic: 4138 on 1 and 198 DF, p-value: < 2.2e-16 Min. 1st Qu. Median Mean 3rd Qu. Max.
-2.4669 -0.4550 0.1826 0.0000 0.5306 1.7914 Min. 1st Qu. Median Mean 3rd Qu. Max.
1.066 3.776 4.634 4.388 5.103 6.801 [1] 0.9769009
Comparing difference reference groups
Reference group: r0e1
lavaan 0.6-21 ended normally after 54 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.045 0.045
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.657 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.018 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.532 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd1_1 (b_11) 0.373 0.167 2.241 0.025 0.466 0.171
rwrd0_2 (b_02) 0.252 0.186 1.358 0.175 0.315 0.121
rwrd1_2 (b_12) 0.449 0.143 3.138 0.002 0.560 0.208
rwrd0_3 (b_03) 0.274 0.204 1.346 0.178 0.342 0.124
rwrd1_3 (b_13) 0.015 0.172 0.086 0.932 0.018 0.007
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.087 0.450
EEF ~
rwrd1_1 (c_11) 0.157 0.185 0.850 0.395 0.158 0.058
rwrd0_2 (c_02) -0.133 0.187 -0.710 0.478 -0.133 -0.051
rwrd1_2 (c_12) 0.070 0.190 0.368 0.713 0.070 0.026
rwrd0_3 (c_03) -0.214 0.172 -1.246 0.213 -0.214 -0.078
rwrd1_3 (c_13) 0.029 0.188 0.154 0.877 0.029 0.011
IM (c_IM) 0.624 0.100 6.254 0.000 0.502 0.502
TR (c_TR) 0.050 0.056 0.899 0.368 0.065 0.065
ADT (c_AD) 0.231 0.080 2.890 0.004 0.198 0.198
PEB_yes (c_PE) 0.277 0.179 1.547 0.122 0.278 0.115
EEC ~
rwrd1_1 (d_11) 0.054 0.197 0.276 0.782 0.062 0.023
rwrd0_2 (d_02) 0.210 0.193 1.087 0.277 0.238 0.091
rwrd1_2 (d_12) 0.217 0.181 1.198 0.231 0.246 0.091
rwrd0_3 (d_03) 0.148 0.168 0.879 0.380 0.168 0.061
rwrd1_3 (d_13) 0.035 0.192 0.183 0.855 0.040 0.015
IM (d_IM) 0.109 0.112 0.968 0.333 0.099 0.099
TR (d_TR) 0.060 0.049 1.234 0.217 0.088 0.088
ADT (d_AD) 0.136 0.077 1.759 0.079 0.131 0.131
PEB_yes (d_PE) -0.045 0.149 -0.303 0.762 -0.051 -0.021
EEF (e_EE) 0.426 0.079 5.396 0.000 0.483 0.483
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.564 0.128 4.414 0.000 0.568 0.568
.EEC 0.459 0.085 5.406 0.000 0.592 0.592
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.432
EEC 0.408
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.171
reward2_IM 0.197 0.182 1.079 0.281 0.245 0.087
reward3_IM -0.259 0.216 -1.200 0.230 -0.324 -0.117
reward_avg_IM 0.104 0.111 0.931 0.352 0.129 0.047
eco2_noRwrd_IM 0.252 0.186 1.358 0.175 0.315 0.121
eco3_noRwrd_IM 0.274 0.204 1.346 0.178 0.342 0.124
eco2_reward_IM 0.076 0.159 0.475 0.635 0.094 0.037
eco3_reward_IM -0.359 0.180 -1.995 0.046 -0.448 -0.164
eco2_IM 0.164 0.121 1.351 0.177 0.205 0.079
eco3_IM -0.042 0.136 -0.310 0.756 -0.053 -0.020
eco_avg_IM 0.061 0.110 0.556 0.579 0.076 0.029
reward1_EEF 0.157 0.185 0.850 0.395 0.158 0.058
reward2_EEF 0.203 0.220 0.922 0.357 0.204 0.077
reward3_EEF 0.243 0.199 1.218 0.223 0.244 0.088
reward_avg_EEF 0.201 0.118 1.696 0.090 0.202 0.074
ind_rewrd1_EEF 0.233 0.110 2.124 0.034 0.234 0.086
ind_rewrd2_EEF 0.123 0.111 1.105 0.269 0.123 0.044
ind_rewrd3_EEF -0.162 0.138 -1.171 0.242 -0.162 -0.059
ind_rwrd_v_EEF 0.065 0.069 0.943 0.346 0.065 0.024
tt_rwrd_vg_EEF 0.266 0.128 2.072 0.038 0.267 0.098
reward1_EEC 0.054 0.197 0.276 0.782 0.062 0.023
reward2_EEC 0.007 0.173 0.042 0.967 0.008 -0.000
reward3_EEC -0.113 0.177 -0.639 0.523 -0.128 -0.046
reward_avg_EEC -0.017 0.103 -0.165 0.869 -0.019 -0.008
ind_rewrd1_EEC 0.041 0.045 0.911 0.362 0.046 0.017
ind_rewrd2_EEC 0.021 0.030 0.706 0.480 0.024 0.009
ind_rewrd3_EEC -0.028 0.037 -0.758 0.448 -0.032 -0.012
ind_rwrd_v_EEC 0.011 0.017 0.672 0.502 0.013 0.005
tt_rwrd_vg_EEC -0.006 0.105 -0.056 0.956 -0.007 -0.003
eco2_dirct_EEF -0.110 0.144 -0.762 0.446 -0.110 -0.041
eco3_dirct_EEF -0.171 0.136 -1.254 0.210 -0.171 -0.062
ec_vg_drct_EEF -0.140 0.119 -1.185 0.236 -0.141 -0.052
eco2_IM_effect 0.164 0.121 1.351 0.177 0.205 0.079
eco3_IM_effect -0.042 0.136 -0.310 0.756 -0.053 -0.020
ind_eco2_EEF 0.102 0.080 1.281 0.200 0.103 0.040
ind_eco3_EEF -0.026 0.085 -0.311 0.756 -0.027 -0.010
ind_eco_vg_EEF 0.038 0.070 0.546 0.585 0.038 0.015
tot_eco2_EEF -0.008 0.152 -0.050 0.960 -0.008 -0.002
tot_eco3_EEF -0.197 0.151 -1.311 0.190 -0.198 -0.072
tot_eco_vg_EEF -0.102 0.127 -0.808 0.419 -0.103 -0.037
eco2_dirct_EEC 0.186 0.136 1.367 0.172 0.211 0.080
eco3_dirct_EEC 0.064 0.130 0.496 0.620 0.073 0.026
ec_vg_drct_EEC 0.125 0.117 1.065 0.287 0.142 0.053
ec2_IM_ffc_EEC 0.164 0.121 1.351 0.177 0.205 0.079
ec3_IM_ffc_EEC -0.042 0.136 -0.310 0.756 -0.053 -0.020
ind_eco2_EEC 0.018 0.022 0.796 0.426 0.020 0.008
ind_eco3_EEC -0.005 0.016 -0.295 0.768 -0.005 -0.002
ind_eco_vg_EEC 0.007 0.014 0.486 0.627 0.008 0.003
tot_eco2_EEC 0.204 0.137 1.489 0.137 0.232 0.088
tot_eco3_EEC 0.060 0.128 0.465 0.642 0.068 0.024
tot_eco_vg_EEC 0.132 0.117 1.124 0.261 0.150 0.056
i_IM__EEF__EEC 0.266 0.065 4.077 0.000 0.242 0.242
t_IM__EEC__EEF 0.375 0.107 3.505 0.000 0.341 0.341Reference group: r1e1 - check with r0e1
With controls_r1e1 reference grouplavaan 0.6-21 ended normally after 53 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.044 0.044
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.656 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.017 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.532 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) -0.373 0.167 -2.241 0.025 -0.466 -0.179
rwrd0_2 (b_02) -0.121 0.199 -0.609 0.543 -0.151 -0.058
rwrd1_2 (b_12) 0.076 0.159 0.475 0.635 0.094 0.035
rwrd0_3 (b_03) -0.099 0.214 -0.465 0.642 -0.124 -0.045
rwrd1_3 (b_13) -0.359 0.180 -1.995 0.046 -0.448 -0.164
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.087 0.450
EEF ~
rwrd0_1 (c_01) -0.105 0.188 -0.559 0.576 -0.106 -0.041
rwrd0_2 (c_02) -0.304 0.196 -1.548 0.122 -0.305 -0.117
rwrd1_2 (c_12) -0.141 0.194 -0.725 0.468 -0.141 -0.052
rwrd0_3 (c_03) -0.343 0.186 -1.841 0.066 -0.344 -0.125
rwrd1_3 (c_13) -0.096 0.204 -0.472 0.637 -0.097 -0.035
IM (c_IM) 0.464 0.101 4.593 0.000 0.373 0.373
TR (c_TR) 0.015 0.047 0.322 0.747 0.020 0.020
ADT (c_AD) 0.131 0.078 1.677 0.094 0.112 0.112
PEB_yes (c_PE) 0.246 0.164 1.502 0.133 0.247 0.102
EEC 0.428 0.116 3.696 0.000 0.378 0.378
EEC ~
rwrd0_1 (d_01) -0.121 0.200 -0.607 0.544 -0.138 -0.053
rwrd0_2 (d_02) 0.032 0.219 0.144 0.885 0.036 0.014
rwrd1_2 (d_12) 0.125 0.203 0.618 0.536 0.142 0.053
rwrd0_3 (d_03) -0.064 0.186 -0.347 0.729 -0.073 -0.027
rwrd1_3 (d_13) -0.074 0.206 -0.359 0.720 -0.084 -0.031
IM (d_IM) 0.375 0.107 3.505 0.000 0.341 0.341
TR (d_TR) 0.081 0.054 1.502 0.133 0.119 0.119
ADT (d_AD) 0.235 0.083 2.819 0.005 0.227 0.227
PEB_yes (d_PE) 0.073 0.163 0.446 0.655 0.083 0.034
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.461 0.087 5.310 0.000 0.464 0.464
.EEC 0.561 0.101 5.528 0.000 0.724 0.724
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.536
EEC 0.276
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.179
reward2_IM 0.197 0.182 1.079 0.281 0.245 0.093
reward3_IM -0.359 0.180 -1.995 0.046 -0.448 -0.164
reward_vrgd_IM 0.070 0.084 0.841 0.400 0.088 0.036
reward_EEF_ec1 0.105 0.188 0.559 0.576 0.106 0.041
reward_EEF_ec2 0.163 0.184 0.886 0.375 0.163 0.065
reward_EEF_ec3 0.247 0.187 1.316 0.188 0.248 0.089
reward_man_EEF 0.172 0.110 1.565 0.117 0.172 0.065
ind_rwrd_EEF_1 0.173 0.084 2.057 0.040 0.174 0.067
ind_rwrd_EEF_2 0.091 0.085 1.076 0.282 0.091 0.035
ind_rwrd_EEF_3 -0.120 0.103 -1.167 0.243 -0.121 -0.044
ind_rw__IM_EEF 0.022 0.025 0.885 0.376 0.018 0.007
tt_rwrd_mn_EEF 0.194 0.111 1.741 0.082 0.190 0.072
reward_EEC_ec1 0.121 0.200 0.607 0.544 0.138 0.053
reward_EEC_ec2 0.094 0.209 0.449 0.653 0.107 0.039
reward_EEC_ec3 -0.009 0.188 -0.050 0.960 -0.011 -0.004
reward_man_EEC 0.069 0.115 0.597 0.550 0.078 0.029
ind_rwrd_EEC_1 0.140 0.074 1.902 0.057 0.159 0.061
ind_rwrd_EEC_2 0.074 0.069 1.067 0.286 0.084 0.032
ind_rwrd_EEC_3 -0.097 0.086 -1.134 0.257 -0.110 -0.041
ind_rw__IM_EEC 0.015 0.017 0.849 0.396 0.015 0.006
tt_rwrd_mn_EEC 0.083 0.115 0.725 0.468 0.093 0.035
eco1_EEF -0.053 0.094 -0.559 0.576 -0.053 -0.020
eco2_EEF -0.222 0.172 -1.291 0.197 -0.223 -0.085
eco3_EEF -0.220 0.172 -1.281 0.200 -0.221 -0.080
eco2_vs_c1_EEF -0.085 0.066 -1.279 0.201 -0.085 -0.032
eco3_vs_c1_EEF -0.084 0.065 -1.287 0.198 -0.084 -0.030
eco3_vs_c2_EEF 0.001 0.068 0.017 0.986 0.001 0.002
eco1_EEC -0.061 0.100 -0.607 0.544 -0.069 -0.026
eco2_EEC 0.078 0.183 0.428 0.668 0.089 0.033
eco3_EEC -0.069 0.172 -0.402 0.688 -0.079 -0.029
eco2_vs_c1_EEC 0.070 0.075 0.932 0.351 0.079 0.030
eco3_vs_c1_EEC -0.004 0.067 -0.064 0.949 -0.005 -0.001
eco3_vs_c2_EEC -0.074 0.070 -1.053 0.292 -0.084 -0.031Reference group: r0e2 - check with r0e1
With controls_r0e2 reference grouplavaan 0.6-21 ended normally after 48 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.045 0.045
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.657 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.018 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.531 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) -0.252 0.186 -1.357 0.175 -0.315 -0.121
rwrd1_1 (b_11) 0.121 0.199 0.609 0.543 0.151 0.055
rwrd1_2 (b_12) 0.197 0.182 1.079 0.281 0.245 0.091
rwrd0_3 (b_03) 0.022 0.225 0.096 0.923 0.027 0.010
rwrd1_3 (b_13) -0.238 0.201 -1.184 0.236 -0.297 -0.109
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.088 0.450
EEF ~
rwrd0_1 (c_01) 0.198 0.175 1.133 0.257 0.199 0.077
rwrd1_1 (c_11) 0.304 0.196 1.548 0.122 0.305 0.112
rwrd1_2 (c_12) 0.163 0.184 0.886 0.375 0.163 0.061
rwrd0_3 (c_03) -0.040 0.180 -0.221 0.825 -0.040 -0.014
rwrd1_3 (c_13) 0.207 0.200 1.033 0.301 0.208 0.076
IM (c_IM) 0.464 0.101 4.593 0.000 0.373 0.373
TR (c_TR) 0.015 0.047 0.322 0.747 0.020 0.020
ADT (c_AD) 0.131 0.078 1.677 0.094 0.112 0.112
PEB_yes (c_PE) 0.246 0.164 1.502 0.133 0.247 0.102
EEC 0.428 0.116 3.696 0.000 0.378 0.378
EEC ~
rwrd0_1 (d_01) -0.153 0.210 -0.726 0.468 -0.174 -0.067
rwrd1_1 (d_11) -0.032 0.219 -0.144 0.885 -0.036 -0.013
rwrd1_2 (d_12) 0.094 0.209 0.449 0.653 0.107 0.040
rwrd0_3 (d_03) -0.096 0.191 -0.502 0.616 -0.109 -0.039
rwrd1_3 (d_13) -0.105 0.218 -0.485 0.628 -0.120 -0.044
IM (d_IM) 0.375 0.107 3.505 0.000 0.341 0.341
TR (d_TR) 0.081 0.054 1.502 0.133 0.119 0.119
ADT (d_AD) 0.235 0.083 2.819 0.005 0.227 0.227
PEB_yes (d_PE) 0.073 0.163 0.446 0.655 0.083 0.034
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.461 0.087 5.310 0.000 0.464 0.464
.EEC 0.561 0.101 5.528 0.000 0.724 0.724
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.536
EEC 0.276
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.176
reward2_IM 0.197 0.182 1.079 0.281 0.245 0.091
reward3_IM -0.259 0.216 -1.200 0.230 -0.324 -0.118
reward_vrgd_IM 0.104 0.111 0.931 0.352 0.129 0.050
reward_EEF_ec1 0.105 0.188 0.559 0.576 0.106 0.035
reward_EEF_ec2 0.163 0.184 0.886 0.375 0.163 0.061
reward_EEF_ec3 0.247 0.187 1.316 0.188 0.248 0.091
reward_man_EEF 0.172 0.110 1.565 0.117 0.172 0.062
ind_rwrd_EEF_1 0.173 0.084 2.057 0.040 0.174 0.066
ind_rwrd_EEF_2 0.091 0.085 1.076 0.282 0.091 0.034
ind_rwrd_EEF_3 -0.120 0.103 -1.167 0.243 -0.121 -0.044
ind_rw__IM_EEF 0.022 0.025 0.885 0.376 0.018 0.007
tt_rwrd_mn_EEF 0.194 0.111 1.741 0.082 0.190 0.069
reward_EEC_ec1 0.121 0.200 0.607 0.544 0.138 0.054
reward_EEC_ec2 0.094 0.209 0.449 0.653 0.107 0.040
reward_EEC_ec3 -0.009 0.188 -0.050 0.960 -0.011 -0.004
reward_man_EEC 0.069 0.115 0.597 0.550 0.078 0.030
ind_rwrd_EEC_1 0.140 0.074 1.902 0.057 0.159 0.060
ind_rwrd_EEC_2 0.074 0.069 1.067 0.286 0.084 0.031
ind_rwrd_EEC_3 -0.097 0.086 -1.134 0.257 -0.110 -0.040
ind_rw__IM_EEC 0.015 0.017 0.849 0.396 0.015 0.006
tt_rwrd_mn_EEC 0.083 0.115 0.725 0.468 0.093 0.035
eco1_EEF 0.251 0.160 1.564 0.118 0.252 0.094
eco2_EEF 0.081 0.092 0.886 0.375 0.082 0.030
eco3_EEF 0.104 0.100 1.033 0.301 0.104 0.038
eco2_vs_c1_EEF -0.085 0.066 -1.279 0.201 -0.085 -0.032
eco3_vs_c1_EEF -0.074 0.066 -1.113 0.266 -0.074 -0.028
eco3_vs_c2_EEF 0.011 0.049 0.225 0.822 0.011 0.004
eco1_EEC -0.092 0.190 -0.486 0.627 -0.105 -0.040
eco2_EEC 0.047 0.104 0.449 0.653 0.053 0.020
eco3_EEC -0.053 0.109 -0.485 0.628 -0.060 -0.022
eco2_vs_c1_EEC 0.070 0.075 0.932 0.351 0.079 0.030
eco3_vs_c1_EEC 0.020 0.073 0.269 0.788 0.022 0.009
eco3_vs_c2_EEC -0.050 0.052 -0.957 0.339 -0.057 -0.021Reference group: r1e2 - check with r0e1
With controls_r1e2 reference grouplavaan 0.6-21 ended normally after 53 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.044 0.044
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.657 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.018 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.532 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) -0.449 0.143 -3.138 0.002 -0.560 -0.215
rwrd1_1 (b_11) -0.076 0.159 -0.475 0.635 -0.094 -0.035
rwrd0_2 (b_02) -0.197 0.182 -1.079 0.281 -0.245 -0.094
rwrd0_3 (b_03) -0.175 0.196 -0.895 0.371 -0.218 -0.079
rwrd1_3 (b_13) -0.434 0.161 -2.700 0.007 -0.542 -0.199
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.087 0.450
EEF ~
rwrd0_1 (c_01) 0.036 0.181 0.197 0.844 0.036 0.014
rwrd1_1 (c_11) 0.141 0.194 0.725 0.468 0.141 0.052
rwrd0_2 (c_02) -0.163 0.184 -0.886 0.375 -0.163 -0.063
rwrd0_3 (c_03) -0.203 0.176 -1.152 0.250 -0.203 -0.074
rwrd1_3 (c_13) 0.044 0.197 0.225 0.822 0.044 0.016
IM (c_IM) 0.464 0.101 4.593 0.000 0.373 0.373
TR (c_TR) 0.015 0.047 0.322 0.747 0.020 0.020
ADT (c_AD) 0.131 0.078 1.677 0.094 0.112 0.112
PEB_yes (c_PE) 0.246 0.164 1.502 0.133 0.247 0.102
EEC 0.428 0.116 3.696 0.000 0.378 0.378
EEC ~
rwrd0_1 (d_01) -0.247 0.199 -1.241 0.215 -0.280 -0.108
rwrd1_1 (d_11) -0.125 0.203 -0.618 0.536 -0.142 -0.052
rwrd0_2 (d_02) -0.094 0.209 -0.449 0.653 -0.107 -0.041
rwrd0_3 (d_03) -0.190 0.174 -1.089 0.276 -0.216 -0.078
rwrd1_3 (d_13) -0.199 0.208 -0.957 0.339 -0.226 -0.083
IM (d_IM) 0.375 0.107 3.505 0.000 0.341 0.341
TR (d_TR) 0.081 0.054 1.502 0.133 0.119 0.119
ADT (d_AD) 0.235 0.083 2.819 0.005 0.227 0.227
PEB_yes (d_PE) 0.073 0.163 0.446 0.655 0.083 0.034
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.461 0.087 5.310 0.000 0.464 0.464
.EEC 0.561 0.101 5.528 0.000 0.724 0.724
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.536
EEC 0.276
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.181
reward2_IM -0.197 0.182 -1.079 0.281 -0.245 -0.094
reward3_IM -0.259 0.216 -1.200 0.230 -0.324 -0.120
reward_vrgd_IM -0.027 0.109 -0.252 0.801 -0.034 -0.011
reward_EEF_ec1 0.105 0.188 0.559 0.576 0.106 0.038
reward_EEF_ec2 0.163 0.184 0.886 0.375 0.163 0.063
reward_EEF_ec3 0.247 0.187 1.316 0.188 0.248 0.090
reward_man_EEF 0.172 0.110 1.565 0.117 0.172 0.064
ind_rwrd_EEF_1 0.173 0.084 2.057 0.040 0.174 0.067
ind_rwrd_EEF_2 0.091 0.085 1.076 0.282 0.091 0.035
ind_rwrd_EEF_3 -0.120 0.103 -1.167 0.243 -0.121 -0.045
ind_rw__IM_EEF 0.022 0.025 0.885 0.376 0.018 0.007
tt_rwrd_mn_EEF 0.194 0.111 1.741 0.082 0.190 0.071
reward_EEC_ec1 0.121 0.200 0.607 0.544 0.138 0.055
reward_EEC_ec2 0.094 0.209 0.449 0.653 0.107 0.041
reward_EEC_ec3 -0.009 0.188 -0.050 0.960 -0.011 -0.005
reward_man_EEC 0.069 0.115 0.597 0.550 0.078 0.030
ind_rwrd_EEC_1 0.140 0.074 1.902 0.057 0.159 0.062
ind_rwrd_EEC_2 0.074 0.069 1.067 0.286 0.084 0.032
ind_rwrd_EEC_3 -0.097 0.086 -1.134 0.257 -0.110 -0.041
ind_rw__IM_EEC 0.015 0.017 0.849 0.396 0.015 0.006
tt_rwrd_mn_EEC 0.083 0.115 0.725 0.468 0.093 0.037
eco1_EEF 0.088 0.162 0.543 0.587 0.088 0.033
eco2_EEF -0.081 0.092 -0.886 0.375 -0.082 -0.031
eco3_EEF -0.079 0.161 -0.490 0.624 -0.079 -0.029
eco2_vs_c1_EEF -0.085 0.066 -1.279 0.201 -0.085 -0.032
eco3_vs_c1_EEF -0.084 0.065 -1.287 0.198 -0.084 -0.031
eco3_vs_c2_EEF 0.001 0.068 0.017 0.986 0.001 0.001
eco1_EEC -0.186 0.174 -1.068 0.285 -0.211 -0.080
eco2_EEC -0.047 0.104 -0.449 0.653 -0.053 -0.020
eco3_EEC -0.195 0.167 -1.162 0.245 -0.221 -0.081
eco2_vs_c1_EEC 0.070 0.075 0.932 0.351 0.079 0.030
eco3_vs_c1_EEC -0.004 0.067 -0.064 0.949 -0.005 -0.000
eco3_vs_c2_EEC -0.074 0.070 -1.053 0.292 -0.084 -0.030Reference group: r0e3 - check with r0e1
r0e3 referencelavaan 0.6-21 ended normally after 54 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.045 0.045
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.657 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.018 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.532 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) -0.274 0.204 -1.346 0.178 -0.342 -0.131
rwrd1_1 (b_11) 0.099 0.214 0.465 0.642 0.124 0.045
rwrd0_2 (b_02) -0.022 0.225 -0.096 0.923 -0.027 -0.010
rwrd1_2 (b_12) 0.175 0.196 0.895 0.371 0.218 0.081
rwrd1_3 (b_13) -0.259 0.216 -1.200 0.230 -0.324 -0.119
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.088 0.450
EEF ~
rwrd0_1 (c_01) 0.238 0.164 1.454 0.146 0.239 0.092
rwrd1_1 (c_11) 0.343 0.186 1.841 0.066 0.344 0.126
rwrd0_2 (c_02) 0.040 0.180 0.221 0.825 0.040 0.015
rwrd1_2 (c_12) 0.203 0.176 1.152 0.249 0.203 0.075
rwrd1_3 (c_13) 0.247 0.187 1.316 0.188 0.248 0.091
IM (c_IM) 0.464 0.101 4.593 0.000 0.373 0.373
TR (c_TR) 0.015 0.047 0.322 0.747 0.020 0.020
ADT (c_AD) 0.131 0.078 1.677 0.094 0.112 0.112
PEB_yes (c_PE) 0.246 0.164 1.502 0.133 0.247 0.102
EEC 0.428 0.116 3.696 0.000 0.378 0.378
EEC ~
rwrd0_1 (d_01) -0.057 0.175 -0.324 0.746 -0.065 -0.025
rwrd1_1 (d_11) 0.064 0.186 0.347 0.729 0.073 0.027
rwrd0_2 (d_02) 0.096 0.191 0.502 0.616 0.109 0.042
rwrd1_2 (d_12) 0.190 0.174 1.089 0.276 0.216 0.080
rwrd1_3 (d_13) -0.009 0.188 -0.050 0.960 -0.011 -0.004
IM (d_IM) 0.375 0.107 3.505 0.000 0.341 0.341
TR (d_TR) 0.081 0.054 1.502 0.133 0.119 0.119
ADT (d_AD) 0.235 0.083 2.819 0.005 0.227 0.227
PEB_yes (d_PE) 0.073 0.163 0.446 0.655 0.083 0.034
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.461 0.087 5.310 0.000 0.464 0.464
.EEC 0.561 0.101 5.528 0.000 0.724 0.724
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.536
EEC 0.276
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.177
reward2_IM 0.197 0.182 1.078 0.281 0.245 0.091
reward3_IM -0.259 0.216 -1.200 0.230 -0.324 -0.119
reward_vrgd_IM 0.104 0.111 0.931 0.352 0.129 0.050
reward_EEF_ec1 0.105 0.188 0.559 0.576 0.105 0.034
reward_EEF_ec2 0.163 0.184 0.886 0.375 0.163 0.060
reward_EEF_ec3 0.247 0.187 1.316 0.188 0.248 0.091
reward_man_EEF 0.172 0.110 1.565 0.117 0.172 0.062
ind_rwrd_EEF_1 0.173 0.084 2.057 0.040 0.174 0.066
ind_rwrd_EEF_2 0.091 0.085 1.076 0.282 0.091 0.034
ind_rwrd_EEF_3 -0.120 0.103 -1.167 0.243 -0.121 -0.044
ind_rw__IM_EEF 0.022 0.025 0.885 0.376 0.018 0.007
tt_rwrd_mn_EEF 0.194 0.111 1.741 0.082 0.190 0.069
reward_EEC_ec1 0.121 0.200 0.607 0.544 0.138 0.052
reward_EEC_ec2 0.094 0.209 0.449 0.653 0.107 0.038
reward_EEC_ec3 -0.009 0.188 -0.050 0.960 -0.011 -0.004
reward_man_EEC 0.069 0.115 0.597 0.550 0.078 0.029
ind_rwrd_EEC_1 0.140 0.074 1.902 0.057 0.159 0.060
ind_rwrd_EEC_2 0.074 0.069 1.067 0.286 0.084 0.031
ind_rwrd_EEC_3 -0.097 0.086 -1.134 0.257 -0.110 -0.040
ind_rw__IM_EEC 0.015 0.017 0.849 0.396 0.015 0.006
tt_rwrd_mn_EEC 0.083 0.115 0.725 0.468 0.093 0.034
eco1_EEF 0.291 0.148 1.962 0.050 0.292 0.109
eco2_EEF 0.121 0.152 0.796 0.426 0.122 0.045
eco3_EEF 0.123 0.094 1.316 0.188 0.124 0.045
eco2_vs_c1_EEF -0.085 0.066 -1.279 0.201 -0.085 -0.032
eco3_vs_c1_EEF -0.084 0.065 -1.287 0.198 -0.084 -0.032
eco3_vs_c2_EEF 0.001 0.068 0.017 0.986 0.001 0.000
eco1_EEC 0.004 0.150 0.025 0.980 0.004 0.001
eco2_EEC 0.143 0.150 0.951 0.342 0.162 0.061
eco3_EEC -0.005 0.094 -0.050 0.960 -0.005 -0.002
eco2_vs_c1_EEC 0.070 0.075 0.932 0.351 0.079 0.030
eco3_vs_c1_EEC -0.004 0.067 -0.064 0.949 -0.005 -0.001
eco3_vs_c2_EEC -0.074 0.070 -1.053 0.292 -0.084 -0.031Reference group: r1e3 - check with r0e1
r1e3 reference copylavaan 0.6-21 ended normally after 54 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 58
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 205.421 194.226
Degrees of freedom 152 152
P-value (Chi-square) 0.003 0.012
Scaling correction factor 1.058
Yuan-Bentler correction (Mplus variant)
Model Test Baseline Model:
Test statistic 2455.693 2006.578
Degrees of freedom 195 195
P-value 0.000 0.000
Scaling correction factor 1.224
User Model versus Baseline Model:
Comparative Fit Index (CFI) 0.976 0.977
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.980
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3548.401 -3548.401
Scaling correction factor 1.635
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7212.802 7212.802
Bayesian (BIC) 7404.104 7404.104
Sample-size adjusted Bayesian (SABIC) 7220.354 7220.354
Root Mean Square Error of Approximation:
RMSEA 0.042 0.037
90 Percent confidence interval - lower 0.026 0.019
90 Percent confidence interval - upper 0.056 0.052
P-value H_0: RMSEA <= 0.050 0.819 0.926
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.019
90 Percent confidence interval - upper 0.053
P-value H_0: Robust RMSEA <= 0.050 0.892
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.045 0.045
Parameter Estimates:
Standard errors Sandwich
Information bread Observed
Observed information based on Hessian
Latent Variables:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM =~
IM1 1.000 0.801 0.816
IM2 0.875 0.091 9.624 0.000 0.701 0.853
IM3 0.882 0.132 6.657 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.996 0.901
EEF2 1.033 0.061 16.826 0.000 1.029 0.917
EEF3 0.963 0.050 19.088 0.000 0.960 0.893
EEC =~
EEC1 1.000 0.880 0.699
EEC2 1.341 0.134 10.017 0.000 1.181 0.857
EEC3 1.408 0.115 12.289 0.000 1.239 0.945
TR =~
TR1 1.000 1.288 0.881
TR2 1.098 0.053 20.858 0.000 1.413 0.942
TR3 1.060 0.054 19.542 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.851 0.861
ADT2 1.029 0.084 12.293 0.000 0.876 0.889
ADT3 1.076 0.080 13.532 0.000 0.916 0.854
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) -0.015 0.172 -0.086 0.932 -0.018 -0.007
rwrd1_1 (b_11) 0.359 0.180 1.995 0.046 0.448 0.164
rwrd0_2 (b_02) 0.238 0.201 1.184 0.236 0.297 0.114
rwrd1_2 (b_12) 0.434 0.161 2.700 0.007 0.542 0.201
rwrd0_3 (b_03) 0.259 0.216 1.200 0.230 0.324 0.117
TR (b_TR) 0.089 0.045 1.966 0.049 0.143 0.143
ADT (b_AD) 0.073 0.079 0.917 0.359 0.077 0.077
PEB_yes (b_PE) 0.871 0.130 6.705 0.000 1.088 0.450
EEF ~
rwrd0_1 (c_01) -0.009 0.186 -0.047 0.963 -0.009 -0.003
rwrd1_1 (c_11) 0.096 0.204 0.472 0.637 0.097 0.035
rwrd0_2 (c_02) -0.207 0.200 -1.033 0.301 -0.208 -0.080
rwrd1_2 (c_12) -0.044 0.197 -0.225 0.822 -0.044 -0.016
rwrd0_3 (c_03) -0.247 0.187 -1.316 0.188 -0.248 -0.090
IM (c_IM) 0.464 0.101 4.593 0.000 0.373 0.373
TR (c_TR) 0.015 0.047 0.322 0.747 0.020 0.020
ADT (c_AD) 0.131 0.078 1.677 0.094 0.112 0.112
PEB_yes (c_PE) 0.246 0.164 1.502 0.133 0.247 0.102
EEC 0.428 0.116 3.696 0.000 0.378 0.378
EEC ~
rwrd0_1 (d_01) -0.047 0.196 -0.241 0.809 -0.054 -0.021
rwrd1_1 (d_11) 0.074 0.206 0.359 0.720 0.084 0.031
rwrd0_2 (d_02) 0.105 0.218 0.485 0.628 0.120 0.046
rwrd1_2 (d_12) 0.199 0.208 0.957 0.339 0.226 0.084
rwrd0_3 (d_03) 0.009 0.188 0.050 0.960 0.011 0.004
IM (d_IM) 0.375 0.107 3.505 0.000 0.341 0.341
TR (d_TR) 0.081 0.054 1.502 0.133 0.119 0.119
ADT (d_AD) 0.235 0.083 2.819 0.005 0.227 0.227
PEB_yes (d_PE) 0.073 0.163 0.446 0.655 0.083 0.034
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.523 0.094 5.539 0.000 0.477 0.477
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.323 0.084 3.865 0.000 0.323 0.335
.IM2 0.184 0.050 3.725 0.000 0.184 0.273
.IM3 0.416 0.207 2.004 0.045 0.416 0.454
.EEF1 0.230 0.046 4.998 0.000 0.230 0.188
.EEF2 0.199 0.046 4.304 0.000 0.199 0.158
.EEF3 0.234 0.065 3.619 0.000 0.234 0.203
.EEC1 0.810 0.096 8.409 0.000 0.810 0.511
.EEC2 0.504 0.112 4.517 0.000 0.504 0.266
.EEC3 0.185 0.066 2.817 0.005 0.185 0.107
.TR1 0.476 0.086 5.547 0.000 0.476 0.223
.TR2 0.253 0.065 3.895 0.000 0.253 0.113
.TR3 0.365 0.094 3.888 0.000 0.365 0.164
.ADT1 0.253 0.060 4.203 0.000 0.253 0.259
.ADT2 0.203 0.056 3.643 0.000 0.203 0.209
.ADT3 0.312 0.091 3.412 0.001 0.312 0.271
.IM 0.465 0.084 5.560 0.000 0.724 0.724
.EEF 0.461 0.087 5.310 0.000 0.464 0.464
.EEC 0.561 0.101 5.528 0.000 0.724 0.724
TR 1.658 0.178 9.317 0.000 1.000 1.000
ADT 0.725 0.096 7.513 0.000 1.000 1.000
R-Square:
Estimate
IM1 0.665
IM2 0.727
IM3 0.546
EEF1 0.812
EEF2 0.842
EEF3 0.797
EEC1 0.489
EEC2 0.734
EEC3 0.893
TR1 0.777
TR2 0.887
TR3 0.836
ADT1 0.741
ADT2 0.791
ADT3 0.729
IM 0.276
EEF 0.536
EEC 0.276
Defined Parameters:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
reward1_IM 0.373 0.167 2.241 0.025 0.466 0.171
reward2_IM 0.197 0.182 1.078 0.281 0.245 0.087
reward3_IM -0.259 0.216 -1.200 0.230 -0.324 -0.117
reward_vrgd_IM 0.104 0.111 0.931 0.352 0.129 0.047
reward_EEF_ec1 0.105 0.188 0.559 0.576 0.105 0.039
reward_EEF_ec2 0.163 0.184 0.886 0.375 0.163 0.063
reward_EEF_ec3 0.247 0.187 1.316 0.188 0.248 0.090
reward_man_EEF 0.172 0.110 1.566 0.117 0.172 0.064
ind_rwrd_EEF_1 0.173 0.084 2.057 0.040 0.174 0.064
ind_rwrd_EEF_2 0.091 0.085 1.076 0.282 0.091 0.033
ind_rwrd_EEF_3 -0.120 0.103 -1.167 0.243 -0.121 -0.044
ind_rw__IM_EEF 0.022 0.025 0.885 0.376 0.018 0.007
tt_rwrd_mn_EEF 0.194 0.111 1.741 0.082 0.190 0.070
reward_EEC_ec1 0.121 0.200 0.607 0.544 0.138 0.051
reward_EEC_ec2 0.094 0.209 0.449 0.653 0.107 0.038
reward_EEC_ec3 -0.009 0.188 -0.050 0.960 -0.011 -0.004
reward_man_EEC 0.069 0.115 0.597 0.550 0.078 0.029
ind_rwrd_EEC_1 0.140 0.074 1.902 0.057 0.159 0.058
ind_rwrd_EEC_2 0.074 0.069 1.067 0.286 0.084 0.030
ind_rwrd_EEC_3 -0.097 0.086 -1.134 0.257 -0.110 -0.040
ind_rw__IM_EEC 0.015 0.017 0.849 0.396 0.015 0.005
tt_rwrd_mn_EEC 0.083 0.115 0.725 0.468 0.093 0.034
eco1_EEF 0.044 0.171 0.256 0.798 0.044 0.016
eco2_EEF -0.126 0.176 -0.714 0.475 -0.126 -0.048
eco3_EEF -0.123 0.094 -1.316 0.188 -0.124 -0.045
eco2_vs_c1_EEF -0.085 0.066 -1.279 0.201 -0.085 -0.032
eco3_vs_c1_EEF -0.084 0.065 -1.287 0.198 -0.084 -0.030
eco3_vs_c2_EEF 0.001 0.068 0.017 0.986 0.001 0.002
eco1_EEC 0.013 0.175 0.076 0.939 0.015 0.005
eco2_EEC 0.152 0.186 0.821 0.412 0.173 0.065
eco3_EEC 0.005 0.094 0.050 0.960 0.005 0.002
eco2_vs_c1_EEC 0.070 0.075 0.932 0.351 0.079 0.030
eco3_vs_c1_EEC -0.004 0.067 -0.064 0.949 -0.005 -0.002
eco3_vs_c2_EEC -0.074 0.070 -1.053 0.292 -0.084 -0.032[1] FALSE