$all
[1] 200Reporting SEM_conservative sample
Sample size
Descriptive
Reward groups
no_reward performance_reward
103 97 Eco orientation groups
EEC_focus EEF_focus EEFandEEC_focus
69 68 63 # A tibble: 6 × 9
Condition_reward_name Condition_eco_name n mean_EEF sd_EEF mean_EEC sd_EEC
<chr> <chr> <int> <dbl> <dbl> <dbl> <dbl>
1 no_reward EEC_focus 36 5.42 1.24 4.51 1.46
2 no_reward EEF_focus 36 5.44 0.808 4.15 1.000
3 no_reward EEFandEEC_focus 31 5.28 0.923 4.35 0.830
4 performance_reward EEC_focus 33 5.68 1.09 4.68 1.09
5 performance_reward EEF_focus 32 5.78 0.982 4.49 1.22
6 performance_reward EEFandEEC_focus 32 5.35 1.09 4.16 1.27
# ℹ 2 more variables: mean_IM <dbl>, sd_IM <dbl># A tibble: 6 × 6
Condition_reward_name n measure mean sd se
<chr> <int> <fct> <dbl> <dbl> <dbl>
1 no_reward 103 EEF 5.38 1.00 0.0987
2 no_reward 103 EEC 4.34 1.14 0.113
3 no_reward 103 IM 5.55 0.849 0.0836
4 performance_reward 97 EEF 5.60 1.06 0.108
5 performance_reward 97 EEC 4.44 1.20 0.122
6 performance_reward 97 IM 5.60 0.759 0.0770
Factor analyses
KMOKaiser-Meyer-Olkin factor adequacy
Call: KMO(r = efa_data_good)
Overall MSA = 0.84
MSA for each item =
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1 EEC2 EEC3 ADT1 ADT2 ADT3 TR1 TR2 TR3
0.90 0.84 0.83 0.86 0.89 0.89 0.90 0.83 0.81 0.87 0.78 0.81 0.86 0.76 0.81 Correlation analysis
Bartlett test
R was not square, finding R from data$chisq
[1] 2681.929
$p.value
[1] 0
$df
[1] 105Correlation matrix
IM1 IM2 IM3 EEF1 EEF2 EEF3 EEC1
IM1 1.0000000 0.64326152 0.61979636 0.4982582 0.5173121 0.5129724 0.4126565
IM2 0.6432615 1.00000000 0.67070298 0.4139217 0.4676608 0.4573846 0.3136449
IM3 0.6197964 0.67070298 1.00000000 0.3426372 0.3894868 0.4338694 0.4159567
EEF1 0.4982582 0.41392173 0.34263720 1.0000000 0.8316756 0.8168640 0.4793843
EEF2 0.5173121 0.46766080 0.38948681 0.8316756 1.0000000 0.8129749 0.4721765
EEF3 0.5129724 0.45738460 0.43386936 0.8168640 0.8129749 1.0000000 0.4628790
EEC1 0.4126565 0.31364493 0.41595667 0.4793843 0.4721765 0.4628790 1.0000000
EEC2 0.4778518 0.32807817 0.32931552 0.4957168 0.5272198 0.5120467 0.5904316
EEC3 0.4663014 0.26966554 0.32382237 0.5245412 0.5114065 0.5316961 0.6909718
ADT1 0.2794156 0.13501374 0.15510711 0.3255508 0.3312074 0.3248718 0.2420757
ADT2 0.1436737 0.03888524 0.06903489 0.2462682 0.2235847 0.2436994 0.1993086
ADT3 0.1812815 0.09549328 0.10554165 0.3094569 0.2692572 0.2543317 0.2038638
TR1 0.2269993 0.12679426 0.16844263 0.2506951 0.1945171 0.2174108 0.2457840
TR2 0.2192631 0.08673667 0.12332224 0.1852857 0.1486312 0.2032614 0.1481077
TR3 0.2101082 0.12041224 0.15370525 0.2512533 0.1947803 0.2523888 0.1981541
EEC2 EEC3 ADT1 ADT2 ADT3 TR1 TR2
IM1 0.4778518 0.4663014 0.2794156 0.14367369 0.18128154 0.2269993 0.21926306
IM2 0.3280782 0.2696655 0.1350137 0.03888524 0.09549328 0.1267943 0.08673667
IM3 0.3293155 0.3238224 0.1551071 0.06903489 0.10554165 0.1684426 0.12332224
EEF1 0.4957168 0.5245412 0.3255508 0.24626818 0.30945689 0.2506951 0.18528567
EEF2 0.5272198 0.5114065 0.3312074 0.22358466 0.26925724 0.1945171 0.14863117
EEF3 0.5120467 0.5316961 0.3248718 0.24369938 0.25433169 0.2174108 0.20326143
EEC1 0.5904316 0.6909718 0.2420757 0.19930861 0.20386383 0.2457840 0.14810773
EEC2 1.0000000 0.8270083 0.3072727 0.25024427 0.28481147 0.2606290 0.17748546
EEC3 0.8270083 1.0000000 0.3282466 0.25511178 0.25512328 0.3272256 0.26011965
ADT1 0.3072727 0.3282466 1.0000000 0.76093033 0.71536627 0.3396706 0.33413205
ADT2 0.2502443 0.2551118 0.7609303 1.00000000 0.78053629 0.3168064 0.30260667
ADT3 0.2848115 0.2551233 0.7153663 0.78053629 1.00000000 0.3343923 0.29317572
TR1 0.2606290 0.3272256 0.3396706 0.31680643 0.33439226 1.0000000 0.83406679
TR2 0.1774855 0.2601197 0.3341320 0.30260667 0.29317572 0.8340668 1.00000000
TR3 0.1903847 0.2780288 0.3570132 0.31129561 0.36508970 0.8148168 0.86483216
TR3
IM1 0.2101082
IM2 0.1204122
IM3 0.1537052
EEF1 0.2512533
EEF2 0.1947803
EEF3 0.2523888
EEC1 0.1981541
EEC2 0.1903847
EEC3 0.2780288
ADT1 0.3570132
ADT2 0.3112956
ADT3 0.3650897
TR1 0.8148168
TR2 0.8648322
TR3 1.0000000
Outliers
Loading required namespace: GPArotationThreshold = 0.35
Loadings:
MR1 MR2 MR3 MR4 MR5
IM1 NA NA NA NA 0.650
IM2 NA NA NA NA 0.832
IM3 NA NA NA NA 0.838
EEF1 0.943 NA NA NA NA
EEF2 0.894 NA NA NA NA
EEF3 0.837 NA NA NA NA
EEC1 NA NA NA 0.589 NA
EEC2 NA NA NA 0.761 NA
EEC3 NA NA NA 1.019 NA
ADT1 NA NA 0.800 NA NA
ADT2 NA NA 0.942 NA NA
ADT3 NA NA 0.846 NA NA
TR1 NA 0.862 NA NA NA
TR2 NA 0.961 NA NA NA
TR3 NA 0.911 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 0.238 0.340 0.589 0.563
2 0.238 1.000 0.396 0.287 0.174
3 0.340 0.396 1.000 0.322 0.143
4 0.589 0.287 0.322 1.000 0.425
5 0.563 0.174 0.143 0.425 1.000
1 2 3 4 5
1 1.000 0.239 0.339 0.592 0.564
2 0.239 1.000 0.396 0.288 0.174
3 0.339 0.396 1.000 0.322 0.143
4 0.592 0.288 0.322 1.000 0.427
5 0.564 0.174 0.143 0.427 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 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 0.000With 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 0.000Group 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 37 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 25
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 116.853 112.287
Degrees of freedom 65 65
P-value (Chi-square) 0.000 0.000
Scaling correction factor 1.041
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) 0.959 0.949
Tucker-Lewis Index (TLI) 0.948 0.937
Robust Comparative Fit Index (CFI) 0.960
Robust Tucker-Lewis Index (TLI) 0.950
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -2115.395 -2115.395
Scaling correction factor 2.062
for the MLR correction
Loglikelihood unrestricted model (H1) -2056.968 -2056.968
Scaling correction factor 1.324
for the MLR correction
Akaike (AIC) 4280.789 4280.789
Bayesian (BIC) 4363.247 4363.247
Sample-size adjusted Bayesian (SABIC) 4284.045 4284.045
Root Mean Square Error of Approximation:
RMSEA 0.063 0.060
90 Percent confidence interval - lower 0.044 0.041
90 Percent confidence interval - upper 0.081 0.078
P-value H_0: RMSEA <= 0.050 0.118 0.173
P-value H_0: RMSEA >= 0.080 0.065 0.036
Robust RMSEA 0.062
90 Percent confidence interval - lower 0.042
90 Percent confidence interval - upper 0.080
P-value H_0: Robust RMSEA <= 0.050 0.157
P-value H_0: Robust RMSEA >= 0.080 0.054
Standardized Root Mean Square Residual:
SRMR 0.055 0.055
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 0.819
IM2 0.873 0.098 8.927 0.000 0.704 0.855
IM3 0.869 0.139 6.257 0.000 0.701 0.732
EEF =~
EEF1 1.000 0.992 0.897
EEF2 1.040 0.063 16.568 0.000 1.031 0.919
EEF3 0.969 0.050 19.188 0.000 0.961 0.894
EEC =~
EEC1 1.000 0.875 0.696
EEC2 1.341 0.133 10.109 0.000 1.174 0.853
EEC3 1.423 0.115 12.414 0.000 1.246 0.951
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) 0.097 0.207 0.467 0.640 0.120 0.046
rwrd1_1 (b_11) 0.406 0.215 1.886 0.059 0.504 0.185
rwrd0_2 (b_02) 0.273 0.234 1.167 0.243 0.339 0.130
rwrd1_2 (b_12) 0.452 0.189 2.389 0.017 0.561 0.208
rwrd0_3 (b_03) 0.210 0.244 0.864 0.388 0.261 0.094
EEF ~
IM (c_IM) 0.744 0.086 8.692 0.000 0.605 0.605
EEC ~
EEF (d_EE) 0.528 0.068 7.738 0.000 0.598 0.598
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.IM1 0.318 0.081 3.945 0.000 0.318 0.329
.IM2 0.182 0.056 3.270 0.001 0.182 0.269
.IM3 0.426 0.213 1.996 0.046 0.426 0.465
.EEF1 0.239 0.046 5.182 0.000 0.239 0.196
.EEF2 0.195 0.046 4.258 0.000 0.195 0.155
.EEF3 0.232 0.065 3.554 0.000 0.232 0.201
.EEC1 0.816 0.097 8.425 0.000 0.816 0.516
.EEC2 0.517 0.111 4.650 0.000 0.517 0.273
.EEC3 0.166 0.064 2.584 0.010 0.166 0.097
.IM 0.625 0.102 6.143 0.000 0.961 0.961
.EEF 0.624 0.137 4.548 0.000 0.634 0.634
.EEC 0.492 0.090 5.460 0.000 0.642 0.642
R-Square:
Estimate
IM1 0.671
IM2 0.731
IM3 0.535
EEF1 0.804
EEF2 0.845
EEF3 0.799
EEC1 0.484
EEC2 0.727
EEC3 0.903
IM 0.039
EEF 0.366
EEC 0.358With control variables
With latent variables
With controls (r1e3 reference group)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 10.017 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_rwrd_m_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_rwrd_m_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_vs_c3_EEF 0.167 0.130 1.287 0.198 0.168 0.061
eco1_vs_c2_EEF 0.170 0.133 1.279 0.201 0.170 0.064
eco_main_EEF 0.168 0.112 1.497 0.134 0.169 0.063
eco1_vs_ec2_IM -0.164 0.121 -1.351 0.177 -0.205 -0.079
eco1_vs_ec3_IM 0.042 0.136 0.310 0.756 0.053 0.020
in_1__2_IM_EEF -0.076 0.061 -1.252 0.211 -0.076 -0.029
in_1__3_IM_EEF -0.076 0.061 -1.252 0.211 -0.076 -0.029
ind_eco_mn_EEF -0.076 0.061 -1.252 0.211 -0.076 -0.029
tt_c1_vs_2_EEF 0.094 0.136 0.686 0.493 0.094 0.035
tt_c1_vs_3_EEF 0.091 0.140 0.650 0.516 0.092 0.031
tot_eco_mn_EEF 0.092 0.121 0.765 0.444 0.093 0.033
eco2_vs_c1_EEC 0.139 0.149 0.932 0.351 0.158 0.060
eco3_vs_c1_EEC -0.009 0.133 -0.064 0.949 -0.010 -0.003
eco1_vs_c2_EEC -0.139 0.149 -0.932 0.351 -0.158 -0.060
eco2_vs_c3_EEC 0.148 0.140 1.053 0.292 0.168 0.063
eco_main_EEC 0.143 0.129 1.115 0.265 0.163 0.062
ec2_v_1_IM_EEC 0.164 0.121 1.351 0.177 0.205 0.079
ec2_v_3_IM_EEC 0.206 0.137 1.507 0.132 0.257 0.099
ind_c2_v_1_EEC 0.061 0.049 1.252 0.211 0.070 0.027
ind_c2_v_3_EEC 0.077 0.056 1.371 0.170 0.088 0.034
ind_eco_mn_EEC 0.069 0.046 1.502 0.133 0.079 0.030
tt_c2_vs_1_EEC 0.201 0.156 1.285 0.199 0.228 0.087
tt_c2_vs_3_EEC 0.225 0.147 1.535 0.125 0.256 0.097
tot_eco_mn_EEC 0.213 0.136 1.563 0.118 0.242 0.092
reward_IM_eco1 0.373 0.167 2.241 0.025 0.466 0.171
reward_IM_eco2 0.197 0.182 1.078 0.281 0.245 0.087
reward_IM_eco3 -0.259 0.216 -1.200 0.230 -0.324 -0.117
reward_main_IM 0.104 0.111 0.931 0.352 0.129 0.047
r13_vs_11__EEF -0.096 0.204 -0.472 0.637 -0.097 -0.035
r12_vs_11__EEF -0.141 0.194 -0.725 0.468 -0.141 -0.052
r12_vs_11__EEC 0.125 0.203 0.618 0.536 0.142 0.053
r13_vs_12__EEC -0.199 0.208 -0.957 0.339 -0.226 -0.084
r13_vs_11__EEC -0.074 0.206 -0.359 0.720 -0.084 -0.031
r12_vs_r11__IM 0.076 0.159 0.475 0.635 0.094 0.037
r13_vs_r11__IM -0.359 0.180 -1.995 0.046 -0.448 -0.164
in_12__11__EEC 0.028 0.060 0.474 0.636 0.032 0.013
in_13__11__EEC -0.134 0.078 -1.733 0.083 -0.153 -0.056
in_13__12__EEC -0.163 0.074 -2.185 0.029 -0.185 -0.069
tt_12__11__EEC 0.154 0.210 0.731 0.465 0.175 0.066
tt_13__11__EEC -0.208 0.211 -0.987 0.323 -0.237 -0.087
tt_13__12__EEC -0.362 0.210 -1.725 0.084 -0.411 -0.153
r1e3_dirct_EEF 0.247 0.187 1.316 0.188 0.248 0.090
r1e3_nd_IM_EEF -0.120 0.103 -1.167 0.243 -0.121 -0.044
r1e3_tt_EEF 0.127 0.204 0.620 0.536 0.127 0.046
r1e3_dirct_EEC -0.009 0.188 -0.050 0.960 -0.011 -0.004
r1e3_nd_IM_EEC -0.097 0.086 -1.134 0.257 -0.110 -0.040
r1e3_tt_EEC -0.107 0.187 -0.569 0.569 -0.121 -0.044Mediation analysis
Mediation analysisMediation analysis with bootstrapping=5000 lhs op
92 reward_main_EEF :=
96 ind_reward_main_EEF :=
97 tot_reward_main_EEF :=
101 reward_main_EEC :=
105 ind_reward_main_EEC :=
106 tot_reward_main_EEC :=
108 eco1_vs_eco2_EEF :=
109 eco_main_EEF :=
110 eco1_vs_eco2_IM :=
112 ind_eco1_vs_eco2_IM_EEF :=
115 tot_eco1_vs_eco2_EEF :=
117 tot_eco_main_EEF :=
118 eco2_vs_eco1_EEC :=
119 eco3_vs_eco1_EEC :=
122 eco_main_EEC :=
128 tot_eco2_vs_eco1_EEC :=
130 tot_eco_main_EEC :=
134 reward_main_IM :=
148 r1e3_direct_EEF :=
rhs
92 (reward_EEF_eco1+reward_EEF_eco2+reward_EEF_eco3)/3
96 (ind_reward_EEF_eco1+ind_reward_EEF_eco2+ind_reward_EEF_eco3)/3*c_IM
97 reward_main_EEF+ind_reward_main_EEF
101 (reward_EEC_eco1+reward_EEC_eco2+reward_EEC_eco3)/3
105 (ind_reward_EEC_eco1+ind_reward_EEC_eco2+ind_reward_EEC_eco3)/3*d_IM
106 reward_main_EEC+ind_reward_main_EEC
108 ((c_r0e1-c_r0e2)+(c_r1e1-c_r1e2))/2
109 (eco1_vs_eco2_EEF+eco1_vs_eco3_EEF)/2
110 ((b_r0e1-b_r0e2)+(b_r1e1-b_r1e2))/2
112 eco1_vs_eco2_IM*c_IM
115 eco1_vs_eco2_EEF+ind_eco1_vs_eco2_IM_EEF
117 eco_main_EEF+ind_eco_main_EEF
118 ((d_r0e2-d_r0e1)+(d_r1e2-d_r1e1))/2
119 ((d_r0e3-d_r0e1)+(0-d_r1e1))/2
122 (eco2_vs_eco1_EEC+eco2_vs_eco3_EEC)/2
128 eco2_vs_eco1_EEC+ind_eco2_vs_eco1_EEC
130 eco_main_EEC+ind_eco_main_EEC
134 ((b_r1e1-b_r0e1)+(b_r1e2-b_r0e2)+(0-b_r0e3))/3
148 (0-c_r0e3)
label est se z pvalue ci.lower ci.upper std.lv
92 reward_main_EEF 0.172 0.101 1.704 0.088 -0.069 0.356 0.172
96 ind_reward_main_EEF 0.022 0.029 0.765 0.444 -0.050 0.089 0.018
97 tot_reward_main_EEF 0.194 0.101 1.924 0.054 -0.064 0.357 0.190
101 reward_main_EEC 0.069 0.117 0.584 0.559 -0.182 0.278 0.078
105 ind_reward_main_EEC 0.015 0.025 0.591 0.554 -0.030 0.101 0.015
106 tot_reward_main_EEC 0.083 0.107 0.776 0.438 -0.144 0.270 0.093
108 eco1_vs_eco2_EEF 0.170 0.140 1.214 0.225 -0.173 0.484 0.170
109 eco_main_EEF 0.168 0.115 1.466 0.143 -0.099 0.436 0.169
110 eco1_vs_eco2_IM -0.164 0.126 -1.303 0.193 -0.367 0.125 -0.205
112 ind_eco1_vs_eco2_IM_EEF -0.076 0.057 -1.338 0.181 -0.147 0.058 -0.076
115 tot_eco1_vs_eco2_EEF 0.094 0.137 0.683 0.495 -0.194 0.458 0.094
117 tot_eco_main_EEF 0.092 0.122 0.759 0.448 -0.119 0.432 0.093
118 eco2_vs_eco1_EEC 0.139 0.153 0.906 0.365 -0.213 0.385 0.158
119 eco3_vs_eco1_EEC -0.009 0.116 -0.074 0.941 -0.298 0.232 -0.010
122 eco_main_EEC 0.143 0.128 1.117 0.264 -0.075 0.373 0.163
128 tot_eco2_vs_eco1_EEC 0.201 0.147 1.366 0.172 -0.192 0.466 0.228
130 tot_eco_main_EEC 0.213 0.124 1.711 0.087 -0.060 0.449 0.242
134 reward_main_IM 0.104 0.132 0.784 0.433 -0.191 0.404 0.129
148 r1e3_direct_EEF 0.247 0.194 1.273 0.203 -0.207 0.660 0.248
std.all std.nox
92 0.064 0.172
96 0.007 0.018
97 0.070 0.190
101 0.029 0.078
105 0.005 0.015
106 0.034 0.093
108 0.064 0.170
109 0.063 0.169
110 -0.079 -0.205
112 -0.029 -0.076
115 0.035 0.094
117 0.033 0.093
118 0.060 0.158
119 -0.003 -0.010
122 0.062 0.163
128 0.087 0.228
130 0.092 0.242
134 0.047 0.129
148 0.090 0.248R0E3
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 0.276 0.108 2.567 0.010 0.345 0.129
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 0.007 0.108 0.065 0.948 0.007 0.001
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 0.059 0.033 1.807 0.071 0.048 0.018
tt_rwrd_mn_EEF 0.066 0.108 0.613 0.540 0.055 0.019
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 0.075 0.117 0.640 0.522 0.085 0.031
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 0.039 0.026 1.499 0.134 0.040 0.015
tt_rwrd_mn_EEC 0.114 0.114 0.994 0.320 0.125 0.046
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 -0.031Modified final with latent
Derived modellavaan 0.6-21 ended normally after 44 iterations
Estimator ML
Optimization method NLMINB
Number of model parameters 41
Number of observations 200
Model Test User Model:
Standard Scaled
Test Statistic 227.108 215.506
Degrees of freedom 169 169
P-value (Chi-square) 0.002 0.009
Scaling correction factor 1.054
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) 0.974 0.974
Tucker-Lewis Index (TLI) 0.970 0.970
Robust Comparative Fit Index (CFI) 0.978
Robust Tucker-Lewis Index (TLI) 0.974
Loglikelihood and Information Criteria:
Loglikelihood user model (H0) -3559.244 -3559.244
Scaling correction factor 1.889
for the MLR correction
Loglikelihood unrestricted model (H1) -3445.690 -3445.690
Scaling correction factor 1.217
for the MLR correction
Akaike (AIC) 7200.488 7200.488
Bayesian (BIC) 7335.719 7335.719
Sample-size adjusted Bayesian (SABIC) 7205.827 7205.827
Root Mean Square Error of Approximation:
RMSEA 0.041 0.037
90 Percent confidence interval - lower 0.026 0.020
90 Percent confidence interval - upper 0.055 0.051
P-value H_0: RMSEA <= 0.050 0.846 0.939
P-value H_0: RMSEA >= 0.080 0.000 0.000
Robust RMSEA 0.038
90 Percent confidence interval - lower 0.020
90 Percent confidence interval - upper 0.052
P-value H_0: Robust RMSEA <= 0.050 0.910
P-value H_0: Robust RMSEA >= 0.080 0.000
Standardized Root Mean Square Residual:
SRMR 0.074 0.074
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 1.286 0.880
TR2 1.101 0.053 20.929 0.000 1.415 0.943
TR3 1.061 0.054 19.747 0.000 1.365 0.914
ADT =~
ADT1 1.000 0.850 0.860
ADT2 1.032 0.082 12.601 0.000 0.877 0.890
ADT3 1.077 0.079 13.654 0.000 0.915 0.853
IM =~
IM1 1.000 0.791 0.804
IM2 0.898 0.079 11.307 0.000 0.710 0.862
IM3 0.894 0.125 7.157 0.000 0.707 0.738
EEF =~
EEF1 1.000 0.980 0.895
EEF2 1.038 0.063 16.516 0.000 1.017 0.916
EEF3 0.968 0.051 19.138 0.000 0.948 0.892
EEC =~
EEC1 1.000 0.867 0.692
EEC2 1.340 0.132 10.129 0.000 1.162 0.850
EEC3 1.425 0.115 12.405 0.000 1.235 0.951
Regressions:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
IM ~
rwrd0_1 (b_01) -0.008 0.168 -0.050 0.960 -0.011 -0.004
rwrd1_1 (b_11) 0.399 0.184 2.172 0.030 0.504 0.185
rwrd0_2 (b_02) 0.215 0.198 1.085 0.278 0.272 0.104
rwrd1_2 (b_12) 0.419 0.160 2.622 0.009 0.530 0.197
rwrd0_3 (b_03) 0.237 0.213 1.114 0.265 0.300 0.108
PEB_yes (b_PE) 0.892 0.121 7.378 0.000 1.127 0.467
EEF ~
IM (c_IM) 0.727 0.088 8.300 0.000 0.587 0.587
ADT (c_AD) 0.272 0.076 3.603 0.000 0.236 0.236
EEC ~
ADT (d_AD) 0.174 0.074 2.341 0.019 0.171 0.171
EEF (d_EE) 0.484 0.069 6.974 0.000 0.547 0.547
Covariances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
TR ~~
ADT 0.525 0.094 5.564 0.000 0.480 0.480
Variances:
Estimate Std.Err z-value P(>|z|) Std.lv Std.all
.TR1 0.481 0.085 5.644 0.000 0.481 0.225
.TR2 0.248 0.065 3.821 0.000 0.248 0.110
.TR3 0.367 0.094 3.913 0.000 0.367 0.165
.ADT1 0.255 0.061 4.193 0.000 0.255 0.261
.ADT2 0.201 0.055 3.658 0.000 0.201 0.207
.ADT3 0.314 0.092 3.414 0.001 0.314 0.272
.IM1 0.342 0.081 4.249 0.000 0.342 0.354
.IM2 0.174 0.043 4.082 0.000 0.174 0.256
.IM3 0.417 0.206 2.026 0.043 0.417 0.455
.EEF1 0.237 0.046 5.162 0.000 0.237 0.198
.EEF2 0.197 0.046 4.297 0.000 0.197 0.160
.EEF3 0.232 0.065 3.575 0.000 0.232 0.205
.EEC1 0.817 0.097 8.435 0.000 0.817 0.521
.EEC2 0.520 0.111 4.700 0.000 0.520 0.278
.EEC3 0.163 0.064 2.532 0.011 0.163 0.096
TR 1.653 0.177 9.318 0.000 1.000 1.000
ADT 0.723 0.096 7.531 0.000 1.000 1.000
.IM 0.466 0.080 5.806 0.000 0.745 0.745
.EEF 0.576 0.129 4.458 0.000 0.600 0.600
.EEC 0.472 0.087 5.422 0.000 0.628 0.628
R-Square:
Estimate
TR1 0.775
TR2 0.890
TR3 0.835
ADT1 0.739
ADT2 0.793
ADT3 0.728
IM1 0.646
IM2 0.744
IM3 0.545
EEF1 0.802
EEF2 0.840
EEF3 0.795
EEC1 0.479
EEC2 0.722
EEC3 0.904
IM 0.255
EEF 0.400
EEC 0.372Model fit comparison
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 65 4280.8 4363.2 116.85
fit_with_control 152 7212.8 7404.1 205.42 76.366 0 87 0.7854
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 152 7212.8 7404.1 205.42
fit_with_control_derived 169 7200.5 7335.7 227.11 10.355 0 17
Pr(>Chisq)
fit_with_control
fit_with_control_derived 0.8881Interaction analysis
Comparing difference reference groups
Reference group: r0e1
With controls_r0e1 reference grouplavaan 0.6-21 ended normally after 52 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 6.656 0.000 0.707 0.739
EEF =~
EEF1 1.000 0.997 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 ~
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 1.088 0.450
EEF ~
rwrd1_1 (c_11) 0.105 0.188 0.559 0.576 0.105 0.039
rwrd0_2 (c_02) -0.198 0.175 -1.133 0.257 -0.199 -0.076
rwrd1_2 (c_12) -0.036 0.181 -0.197 0.844 -0.036 -0.013
rwrd0_3 (c_03) -0.238 0.164 -1.454 0.146 -0.239 -0.086
rwrd1_3 (c_13) 0.009 0.186 0.047 0.963 0.009 0.003
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 ~
rwrd1_1 (d_11) 0.121 0.200 0.607 0.544 0.138 0.051
rwrd0_2 (d_02) 0.153 0.210 0.726 0.468 0.174 0.067
rwrd1_2 (d_12) 0.247 0.199 1.241 0.215 0.280 0.104
rwrd0_3 (d_03) 0.057 0.175 0.324 0.746 0.065 0.023
rwrd1_3 (d_13) 0.047 0.196 0.241 0.809 0.054 0.020
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 1.079 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 1.565 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 0.032
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 0.037
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 0.028
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 0.053 0.094 0.559 0.576 0.053 0.019
eco2_EEF -0.117 0.152 -0.768 0.442 -0.117 -0.045
eco3_EEF -0.115 0.148 -0.773 0.439 -0.115 -0.042
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 0.025
eco2_EEC 0.200 0.176 1.135 0.257 0.227 0.085
eco3_EEC 0.052 0.161 0.325 0.745 0.059 0.022
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 -0.032Reference group: r1e1
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
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
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
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
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