Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 5:47 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: Invariance EMIA
DATA: FILE IS toutes_donnees_SM_1_interet_invariance.dat;
VARIABLE: NAMES ARE v1-v15 classe;
USEVARIABLES ARE v1-v15 classe;
GROUPING IS classe (1=6em 3=2em 4=Terminal);
MODEL: FR by v1-v5;
GEN by v6-v10;
MATH by v11-v15;
!moyenne latente ŕ zéro
[FR@0 GEN@0 MATH@0];
v11 WITH v15;
MODEL 6em:
v12 WITH v15;
MODEL 2em:
! libération des intercept des items
[v1-v15];
MODEL Terminal:
[v1-v15];
v5 WITH v4;
OUTPUT: MODINDICES;
STANDARDIZED;
*** WARNING
Data set contains unknown or missing values for GROUPING,
PATTERN, COHORT, CLUSTER and/or STRATIFICATION variables.
Number of cases with unknown or missing values: 471
1 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
Invariance EMIA
SUMMARY OF ANALYSIS
Number of groups 3
Number of observations
Group 6EM 211
Group 2EM 128
Group TERMINAL 382
Total sample size 721
Number of dependent variables 15
Number of independent variables 0
Number of continuous latent variables 3
Observed dependent variables
Continuous
V1 V2 V3 V4 V5 V6
V7 V8 V9 V10 V11 V12
V13 V14 V15
Continuous latent variables
FR GEN MATH
Variables with special functions
Grouping variable CLASSE
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
toutes_donnees_SM_1_interet_invariance.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR 6EM
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
V1 4.365 -0.342 1.000 13.27% 2.000 4.000 5.000
211.000 3.805 -1.010 7.000 16.11% 5.000 6.000
V2 3.921 0.006 1.000 18.48% 2.000 4.000 4.000
211.000 4.151 -1.189 7.000 15.64% 4.000 6.000
V3 4.179 -0.137 1.000 10.90% 2.000 4.000 4.000
211.000 3.708 -1.137 7.000 14.69% 5.000 6.000
V4 4.249 -0.175 1.000 14.22% 2.000 4.000 4.000
211.000 4.214 -1.229 7.486 0.47% 5.000 6.000
V5 4.472 -0.307 1.000 11.37% 3.000 4.000 5.000
211.000 3.929 -1.079 7.000 21.33% 5.000 7.000
V6 4.769 -0.530 1.000 9.00% 3.000 5.000 5.000
211.000 3.775 -0.880 7.000 25.12% 6.000 7.000
V7 4.355 -0.280 1.000 13.74% 2.000 4.000 5.000
211.000 4.044 -1.074 7.000 20.85% 5.000 7.000
V8 5.013 -0.684 1.000 7.11% 3.000 5.000 5.000
211.000 3.779 -0.735 7.000 32.23% 6.000 7.000
V9 4.937 -0.666 1.000 7.11% 3.000 5.000 5.000
211.000 3.450 -0.612 7.000 25.12% 6.000 7.000
V10 4.667 -0.480 1.000 9.95% 3.000 4.000 5.000
211.000 3.734 -0.872 7.000 22.75% 5.000 7.000
V11 4.906 -0.665 1.000 11.85% 3.000 5.000 5.000
211.000 4.219 -0.810 7.000 32.70% 6.000 7.000
V12 4.669 -0.423 1.000 10.43% 2.000 4.000 5.000
211.000 4.141 -1.079 7.000 27.49% 6.000 7.000
V13 4.847 -0.552 1.000 9.95% 3.000 5.000 5.000
211.000 4.268 -1.018 7.000 32.70% 6.000 7.000
V14 5.127 -0.834 1.000 8.06% 3.000 5.000 6.000
211.000 3.788 -0.497 7.000 34.60% 6.000 7.000
V15 4.798 -0.521 1.000 11.85% 2.000 4.000 5.000
211.000 4.525 -1.099 7.000 33.18% 6.000 7.000
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR 2EM
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
V1 3.109 0.301 1.000 20.31% 1.000 2.000 3.000
128.000 2.519 -0.807 7.000 1.56% 4.000 4.000
V2 2.452 0.917 1.000 35.16% 1.000 2.000 2.000
128.000 2.090 0.544 7.000 2.34% 3.000 4.000
V3 2.673 0.805 1.000 31.25% 1.000 2.000 2.484
128.000 2.527 -0.016 7.000 2.34% 3.000 4.000
V4 2.788 0.763 1.000 31.25% 1.000 2.000 3.000
128.000 2.744 -0.010 7.000 4.69% 3.000 4.000
V5 3.117 0.474 1.000 25.78% 1.000 2.000 3.000
128.000 3.244 -0.817 7.000 4.69% 3.000 5.000
V6 3.523 0.426 1.000 6.25% 2.000 3.000 3.000
128.000 2.343 -0.492 7.000 4.69% 4.000 5.000
V7 2.897 0.634 1.000 18.75% 2.000 2.000 3.000
128.000 2.120 0.001 7.000 2.34% 3.000 4.000
V8 4.000 -0.031 1.000 7.03% 2.000 4.000 4.000
128.000 2.734 -0.841 7.000 7.03% 5.000 5.000
V9 3.618 0.280 1.000 8.59% 2.000 3.000 3.294
128.000 2.490 -0.561 7.000 5.47% 4.000 5.000
V10 3.267 0.436 1.000 14.84% 2.000 3.000 3.000
128.000 2.585 -0.502 7.000 3.91% 4.000 5.000
V11 3.319 0.397 1.000 20.31% 1.000 2.000 3.000
128.000 3.449 -0.999 7.000 6.25% 4.000 5.000
V12 3.058 0.639 1.000 19.53% 1.249 2.000 3.000
128.000 2.917 -0.519 7.000 4.69% 3.000 5.000
V13 3.409 0.418 1.000 19.53% 2.000 2.395 3.000
128.000 3.640 -0.930 7.000 10.16% 4.000 5.000
V14 3.734 0.204 1.000 15.62% 2.000 3.000 4.000
128.000 3.773 -1.105 7.000 11.72% 4.000 6.000
V15 2.972 0.624 1.000 29.69% 1.000 2.000 3.000
128.000 3.362 -0.648 7.000 6.25% 3.000 5.000
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS FOR TERMINAL
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
V1 3.817 0.095 1.000 7.33% 2.000 3.000 4.000
382.000 2.684 -0.885 7.000 5.50% 4.000 5.000
V2 2.825 0.775 1.000 21.99% 1.000 2.000 2.000
382.000 2.427 -0.060 7.000 2.88% 3.000 4.000
V3 3.291 0.411 1.000 15.18% 2.000 3.000 3.000
382.000 2.724 -0.643 7.000 4.45% 4.000 5.000
V4 3.332 0.335 1.000 17.54% 2.000 2.000 3.000
382.000 3.070 -0.931 7.000 4.45% 4.000 5.000
V5 3.895 0.032 1.000 11.78% 2.000 3.000 4.000
382.000 3.424 -1.092 7.000 9.95% 5.000 6.000
V6 4.558 -0.355 1.000 1.57% 4.000 4.000 5.000
382.000 1.906 -0.184 7.000 7.85% 5.000 6.000
V7 3.534 0.292 1.000 11.52% 2.000 3.000 3.500
382.000 2.736 -0.660 7.000 6.02% 4.000 5.000
V8 4.812 -0.433 1.000 1.57% 4.000 5.000 5.000
382.000 2.080 -0.298 7.000 12.83% 5.000 6.000
V9 4.387 -0.279 1.000 2.62% 3.000 4.000 5.000
382.000 2.007 -0.359 7.000 6.02% 5.000 6.000
V10 3.995 -0.172 1.000 8.12% 2.000 4.000 4.000
382.000 2.560 -0.699 7.000 5.24% 5.000 5.000
V11 3.898 -0.011 1.000 15.18% 2.000 3.000 4.000
382.000 3.767 -1.203 7.000 10.73% 5.000 6.000
V12 3.330 0.314 1.000 18.06% 2.000 3.000 3.000
382.000 3.059 -0.947 7.000 4.45% 4.000 5.000
V13 3.846 -0.025 1.000 15.18% 2.000 3.000 4.000
382.000 3.560 -1.130 7.000 9.16% 5.000 6.000
V14 3.877 0.031 1.000 12.04% 2.000 3.000 4.000
382.000 3.511 -1.172 7.000 9.16% 5.000 6.000
V15 3.390 0.327 1.000 21.99% 1.000 2.000 3.000
382.000 3.672 -1.069 7.000 7.85% 4.000 5.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 125
Loglikelihood
H0 Value -17101.542
H1 Value -16754.579
Information Criteria
Akaike (AIC) 34453.084
Bayesian (BIC) 35025.664
Sample-Size Adjusted BIC 34628.754
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 693.925
Degrees of Freedom 280
P-Value 0.0000
Chi-Square Contribution From Each Group
6EM 209.213
2EM 229.474
TERMINAL 255.239
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.078
90 Percent C.I. 0.071 0.086
Probability RMSEA <= .05 0.000
CFI/TLI
CFI 0.955
TLI 0.949
Chi-Square Test of Model Fit for the Baseline Model
Value 9435.888
Degrees of Freedom 315
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.056
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group 6EM
FR BY
V1 1.000 0.000 999.000 999.000
V2 0.953 0.029 32.486 0.000
V3 1.032 0.029 35.045 0.000
V4 1.110 0.030 37.242 0.000
V5 0.975 0.036 26.859 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.911 0.048 19.156 0.000
V8 1.020 0.043 23.701 0.000
V9 1.045 0.043 24.565 0.000
V10 0.963 0.048 20.187 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.935 0.029 32.713 0.000
V13 0.919 0.032 28.577 0.000
V14 0.927 0.031 29.784 0.000
V15 1.059 0.026 41.419 0.000
GEN WITH
FR 1.957 0.254 7.714 0.000
MATH WITH
FR 0.879 0.241 3.653 0.000
GEN 2.116 0.274 7.709 0.000
V11 WITH
V15 0.362 0.121 2.986 0.003
V12 WITH
V15 -0.202 0.078 -2.587 0.010
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 4.365 0.131 33.355 0.000
V2 3.921 0.134 29.195 0.000
V3 4.179 0.138 30.265 0.000
V4 4.249 0.142 30.018 0.000
V5 4.472 0.142 31.582 0.000
V6 4.769 0.130 36.797 0.000
V7 4.355 0.132 33.016 0.000
V8 5.013 0.133 37.755 0.000
V9 4.937 0.133 37.148 0.000
V10 4.667 0.140 33.322 0.000
V11 4.906 0.151 32.565 0.000
V12 4.669 0.135 34.708 0.000
V13 4.847 0.145 33.536 0.000
V14 5.127 0.139 36.988 0.000
V15 4.798 0.147 32.636 0.000
Variances
FR 2.934 0.321 9.129 0.000
GEN 2.624 0.311 8.429 0.000
MATH 3.415 0.384 8.892 0.000
Residual Variances
V1 0.680 0.087 7.787 0.000
V2 1.144 0.128 8.944 0.000
V3 0.896 0.108 8.312 0.000
V4 0.616 0.087 7.115 0.000
V5 1.441 0.156 9.218 0.000
V6 0.920 0.113 8.143 0.000
V7 1.492 0.164 9.083 0.000
V8 0.987 0.118 8.334 0.000
V9 0.859 0.107 8.032 0.000
V10 1.704 0.183 9.303 0.000
V11 1.374 0.168 8.161 0.000
V12 0.831 0.120 6.914 0.000
V13 1.525 0.169 9.032 0.000
V14 1.116 0.131 8.501 0.000
V15 0.733 0.133 5.509 0.000
Group 2EM
FR BY
V1 1.000 0.000 999.000 999.000
V2 0.953 0.029 32.486 0.000
V3 1.032 0.029 35.045 0.000
V4 1.110 0.030 37.242 0.000
V5 0.975 0.036 26.859 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.911 0.048 19.156 0.000
V8 1.020 0.043 23.701 0.000
V9 1.045 0.043 24.565 0.000
V10 0.963 0.048 20.187 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.935 0.029 32.713 0.000
V13 0.919 0.032 28.577 0.000
V14 0.927 0.031 29.784 0.000
V15 1.059 0.026 41.419 0.000
GEN WITH
FR 0.620 0.172 3.599 0.000
MATH WITH
FR 0.034 0.212 0.159 0.874
GEN 1.196 0.221 5.409 0.000
V11 WITH
V15 0.332 0.118 2.819 0.005
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 3.109 0.143 21.687 0.000
V2 2.452 0.132 18.637 0.000
V3 2.673 0.137 19.480 0.000
V4 2.788 0.145 19.182 0.000
V5 3.117 0.161 19.381 0.000
V6 3.523 0.139 25.321 0.000
V7 2.897 0.136 21.255 0.000
V8 4.000 0.145 27.530 0.000
V9 3.618 0.136 26.653 0.000
V10 3.267 0.137 23.785 0.000
V11 3.319 0.163 20.334 0.000
V12 3.058 0.152 20.119 0.000
V13 3.409 0.169 20.223 0.000
V14 3.734 0.165 22.671 0.000
V15 2.972 0.166 17.880 0.000
Variances
FR 1.957 0.268 7.303 0.000
GEN 1.423 0.219 6.487 0.000
MATH 2.571 0.364 7.057 0.000
Residual Variances
V1 0.674 0.097 6.977 0.000
V2 0.439 0.067 6.566 0.000
V3 0.325 0.057 5.675 0.000
V4 0.295 0.057 5.142 0.000
V5 1.450 0.192 7.549 0.000
V6 1.055 0.158 6.676 0.000
V7 1.196 0.170 7.028 0.000
V8 1.220 0.180 6.762 0.000
V9 0.804 0.134 5.979 0.000
V10 1.095 0.163 6.722 0.000
V11 0.840 0.150 5.594 0.000
V12 0.709 0.120 5.919 0.000
V13 1.469 0.211 6.971 0.000
V14 1.262 0.187 6.733 0.000
V15 0.656 0.131 5.001 0.000
Group TERMINAL
FR BY
V1 1.000 0.000 999.000 999.000
V2 0.953 0.029 32.486 0.000
V3 1.032 0.029 35.045 0.000
V4 1.110 0.030 37.242 0.000
V5 0.975 0.036 26.859 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.911 0.048 19.156 0.000
V8 1.020 0.043 23.701 0.000
V9 1.045 0.043 24.565 0.000
V10 0.963 0.048 20.187 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.935 0.029 32.713 0.000
V13 0.919 0.032 28.577 0.000
V14 0.927 0.031 29.784 0.000
V15 1.059 0.026 41.419 0.000
GEN WITH
FR 0.788 0.101 7.785 0.000
MATH WITH
FR 0.055 0.133 0.411 0.681
GEN 0.823 0.116 7.096 0.000
V11 WITH
V15 0.028 0.053 0.527 0.598
V5 WITH
V4 0.253 0.059 4.299 0.000
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 3.817 0.085 44.966 0.000
V2 2.825 0.080 35.131 0.000
V3 3.291 0.084 39.223 0.000
V4 3.332 0.089 37.298 0.000
V5 3.895 0.092 42.157 0.000
V6 4.558 0.072 63.280 0.000
V7 3.534 0.087 40.852 0.000
V8 4.812 0.074 64.638 0.000
V9 4.387 0.071 61.739 0.000
V10 3.995 0.080 49.848 0.000
V11 3.898 0.097 40.073 0.000
V12 3.330 0.092 36.264 0.000
V13 3.846 0.096 40.134 0.000
V14 3.877 0.095 40.729 0.000
V15 3.390 0.098 34.434 0.000
Variances
FR 2.069 0.178 11.638 0.000
GEN 1.190 0.117 10.175 0.000
MATH 2.909 0.248 11.742 0.000
Residual Variances
V1 0.684 0.061 11.239 0.000
V2 0.592 0.054 11.033 0.000
V3 0.484 0.049 9.886 0.000
V4 0.503 0.054 9.395 0.000
V5 1.294 0.108 12.038 0.000
V6 0.792 0.072 10.935 0.000
V7 1.871 0.145 12.874 0.000
V8 0.878 0.079 11.174 0.000
V9 0.629 0.065 9.709 0.000
V10 1.350 0.111 12.197 0.000
V11 0.706 0.076 9.267 0.000
V12 0.677 0.063 10.828 0.000
V13 1.053 0.087 12.119 0.000
V14 0.960 0.081 11.848 0.000
V15 0.443 0.061 7.306 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.141E-02
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group 6EM
FR BY
V1 0.901 0.015 60.177 0.000
V2 0.836 0.021 40.525 0.000
V3 0.882 0.016 55.880 0.000
V4 0.924 0.012 76.145 0.000
V5 0.812 0.022 37.067 0.000
GEN BY
V6 0.860 0.020 42.392 0.000
V7 0.770 0.029 26.585 0.000
V8 0.857 0.020 42.948 0.000
V9 0.877 0.017 51.186 0.000
V10 0.767 0.026 29.300 0.000
MATH BY
V11 0.845 0.020 42.049 0.000
V12 0.885 0.019 46.304 0.000
V13 0.809 0.022 36.127 0.000
V14 0.851 0.019 44.943 0.000
V15 0.916 0.017 55.275 0.000
GEN WITH
FR 0.705 0.040 17.697 0.000
MATH WITH
FR 0.278 0.068 4.073 0.000
GEN 0.707 0.040 17.532 0.000
V11 WITH
V15 0.361 0.086 4.189 0.000
V12 WITH
V15 -0.259 0.115 -2.252 0.024
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 2.296 0.124 18.513 0.000
V2 2.010 0.108 18.621 0.000
V3 2.084 0.115 18.059 0.000
V4 2.067 0.117 17.615 0.000
V5 2.174 0.116 18.778 0.000
V6 2.533 0.132 19.121 0.000
V7 2.273 0.119 19.148 0.000
V8 2.599 0.136 19.159 0.000
V9 2.557 0.137 18.669 0.000
V10 2.294 0.123 18.721 0.000
V11 2.242 0.120 18.673 0.000
V12 2.389 0.125 19.094 0.000
V13 2.309 0.120 19.285 0.000
V14 2.546 0.132 19.259 0.000
V15 2.247 0.124 18.105 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.188 0.027 6.971 0.000
V2 0.301 0.035 8.705 0.000
V3 0.223 0.028 8.004 0.000
V4 0.146 0.022 6.495 0.000
V5 0.341 0.036 9.572 0.000
V6 0.260 0.035 7.430 0.000
V7 0.406 0.045 9.101 0.000
V8 0.265 0.034 7.759 0.000
V9 0.230 0.030 7.662 0.000
V10 0.412 0.040 10.254 0.000
V11 0.287 0.034 8.455 0.000
V12 0.218 0.034 6.439 0.000
V13 0.346 0.036 9.559 0.000
V14 0.275 0.032 8.540 0.000
V15 0.161 0.030 5.294 0.000
Group 2EM
FR BY
V1 0.862 0.022 39.398 0.000
V2 0.895 0.018 49.438 0.000
V3 0.930 0.014 64.701 0.000
V4 0.944 0.012 75.981 0.000
V5 0.750 0.032 23.345 0.000
GEN BY
V6 0.758 0.035 21.655 0.000
V7 0.705 0.038 18.583 0.000
V8 0.741 0.037 19.982 0.000
V9 0.812 0.033 24.352 0.000
V10 0.739 0.039 19.100 0.000
MATH BY
V11 0.868 0.025 34.430 0.000
V12 0.872 0.023 37.254 0.000
V13 0.772 0.032 23.941 0.000
V14 0.798 0.031 25.771 0.000
V15 0.902 0.021 43.482 0.000
GEN WITH
FR 0.371 0.085 4.373 0.000
MATH WITH
FR 0.015 0.094 0.159 0.874
GEN 0.625 0.066 9.435 0.000
V11 WITH
V15 0.447 0.099 4.497 0.000
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 1.917 0.136 14.060 0.000
V2 1.647 0.129 12.788 0.000
V3 1.722 0.134 12.844 0.000
V4 1.695 0.134 12.621 0.000
V5 1.713 0.122 13.990 0.000
V6 2.238 0.150 14.937 0.000
V7 1.879 0.135 13.888 0.000
V8 2.433 0.155 15.692 0.000
V9 2.356 0.156 15.139 0.000
V10 2.102 0.141 14.886 0.000
V11 1.797 0.134 13.375 0.000
V12 1.778 0.134 13.303 0.000
V13 1.787 0.128 14.015 0.000
V14 2.004 0.136 14.720 0.000
V15 1.580 0.128 12.320 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.256 0.038 6.787 0.000
V2 0.198 0.032 6.116 0.000
V3 0.135 0.027 5.042 0.000
V4 0.109 0.023 4.647 0.000
V5 0.438 0.048 9.098 0.000
V6 0.426 0.053 8.024 0.000
V7 0.503 0.053 9.406 0.000
V8 0.452 0.055 8.228 0.000
V9 0.341 0.054 6.292 0.000
V10 0.453 0.057 7.919 0.000
V11 0.246 0.044 5.627 0.000
V12 0.240 0.041 5.872 0.000
V13 0.404 0.050 8.105 0.000
V14 0.363 0.049 7.357 0.000
V15 0.186 0.037 4.955 0.000
Group TERMINAL
FR BY
V1 0.867 0.014 63.793 0.000
V2 0.872 0.013 64.959 0.000
V3 0.906 0.011 81.302 0.000
V4 0.914 0.011 86.548 0.000
V5 0.777 0.021 37.263 0.000
GEN BY
V6 0.775 0.022 35.837 0.000
V7 0.588 0.028 21.360 0.000
V8 0.765 0.022 34.321 0.000
V9 0.821 0.021 39.902 0.000
V10 0.671 0.027 24.713 0.000
MATH BY
V11 0.897 0.013 69.308 0.000
V12 0.889 0.012 74.848 0.000
V13 0.837 0.016 52.182 0.000
V14 0.850 0.015 56.619 0.000
V15 0.938 0.009 99.446 0.000
GEN WITH
FR 0.503 0.044 11.412 0.000
MATH WITH
FR 0.022 0.054 0.411 0.681
GEN 0.442 0.047 9.450 0.000
V11 WITH
V15 0.050 0.091 0.547 0.584
V5 WITH
V4 0.313 0.058 5.412 0.000
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 2.301 0.093 24.771 0.000
V2 1.797 0.080 22.550 0.000
V3 2.007 0.086 23.344 0.000
V4 1.908 0.083 22.867 0.000
V5 2.157 0.086 25.045 0.000
V6 3.238 0.120 27.065 0.000
V7 2.090 0.084 24.774 0.000
V8 3.307 0.120 27.507 0.000
V9 3.159 0.117 27.015 0.000
V10 2.550 0.095 26.742 0.000
V11 2.050 0.087 23.621 0.000
V12 1.855 0.083 22.484 0.000
V13 2.053 0.086 23.888 0.000
V14 2.084 0.087 23.993 0.000
V15 1.762 0.081 21.850 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.248 0.024 10.539 0.000
V2 0.240 0.023 10.239 0.000
V3 0.180 0.020 8.920 0.000
V4 0.165 0.019 8.545 0.000
V5 0.397 0.032 12.257 0.000
V6 0.400 0.034 11.925 0.000
V7 0.654 0.032 20.228 0.000
V8 0.415 0.034 12.166 0.000
V9 0.326 0.034 9.655 0.000
V10 0.550 0.036 15.113 0.000
V11 0.195 0.023 8.407 0.000
V12 0.210 0.021 9.958 0.000
V13 0.300 0.027 11.190 0.000
V14 0.277 0.026 10.861 0.000
V15 0.120 0.018 6.766 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group 6EM
FR BY
V1 0.901 0.015 60.177 0.000
V2 0.836 0.021 40.525 0.000
V3 0.882 0.016 55.880 0.000
V4 0.924 0.012 76.145 0.000
V5 0.812 0.022 37.067 0.000
GEN BY
V6 0.860 0.020 42.392 0.000
V7 0.770 0.029 26.585 0.000
V8 0.857 0.020 42.948 0.000
V9 0.877 0.017 51.186 0.000
V10 0.767 0.026 29.300 0.000
MATH BY
V11 0.845 0.020 42.049 0.000
V12 0.885 0.019 46.304 0.000
V13 0.809 0.022 36.127 0.000
V14 0.851 0.019 44.943 0.000
V15 0.916 0.017 55.275 0.000
GEN WITH
FR 0.705 0.040 17.697 0.000
MATH WITH
FR 0.278 0.068 4.073 0.000
GEN 0.707 0.040 17.532 0.000
V11 WITH
V15 0.361 0.086 4.189 0.000
V12 WITH
V15 -0.259 0.115 -2.252 0.024
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 2.296 0.124 18.513 0.000
V2 2.010 0.108 18.621 0.000
V3 2.084 0.115 18.059 0.000
V4 2.067 0.117 17.615 0.000
V5 2.174 0.116 18.778 0.000
V6 2.533 0.132 19.121 0.000
V7 2.273 0.119 19.148 0.000
V8 2.599 0.136 19.159 0.000
V9 2.557 0.137 18.669 0.000
V10 2.294 0.123 18.721 0.000
V11 2.242 0.120 18.673 0.000
V12 2.389 0.125 19.094 0.000
V13 2.309 0.120 19.285 0.000
V14 2.546 0.132 19.259 0.000
V15 2.247 0.124 18.105 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.188 0.027 6.971 0.000
V2 0.301 0.035 8.705 0.000
V3 0.223 0.028 8.004 0.000
V4 0.146 0.022 6.495 0.000
V5 0.341 0.036 9.572 0.000
V6 0.260 0.035 7.430 0.000
V7 0.406 0.045 9.101 0.000
V8 0.265 0.034 7.759 0.000
V9 0.230 0.030 7.662 0.000
V10 0.412 0.040 10.254 0.000
V11 0.287 0.034 8.455 0.000
V12 0.218 0.034 6.439 0.000
V13 0.346 0.036 9.559 0.000
V14 0.275 0.032 8.540 0.000
V15 0.161 0.030 5.294 0.000
Group 2EM
FR BY
V1 0.862 0.022 39.398 0.000
V2 0.895 0.018 49.438 0.000
V3 0.930 0.014 64.701 0.000
V4 0.944 0.012 75.981 0.000
V5 0.750 0.032 23.345 0.000
GEN BY
V6 0.758 0.035 21.655 0.000
V7 0.705 0.038 18.583 0.000
V8 0.741 0.037 19.982 0.000
V9 0.812 0.033 24.352 0.000
V10 0.739 0.039 19.100 0.000
MATH BY
V11 0.868 0.025 34.430 0.000
V12 0.872 0.023 37.254 0.000
V13 0.772 0.032 23.941 0.000
V14 0.798 0.031 25.771 0.000
V15 0.902 0.021 43.482 0.000
GEN WITH
FR 0.371 0.085 4.373 0.000
MATH WITH
FR 0.015 0.094 0.159 0.874
GEN 0.625 0.066 9.435 0.000
V11 WITH
V15 0.447 0.099 4.497 0.000
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 1.917 0.136 14.060 0.000
V2 1.647 0.129 12.788 0.000
V3 1.722 0.134 12.844 0.000
V4 1.695 0.134 12.621 0.000
V5 1.713 0.122 13.990 0.000
V6 2.238 0.150 14.937 0.000
V7 1.879 0.135 13.888 0.000
V8 2.433 0.155 15.692 0.000
V9 2.356 0.156 15.139 0.000
V10 2.102 0.141 14.886 0.000
V11 1.797 0.134 13.375 0.000
V12 1.778 0.134 13.303 0.000
V13 1.787 0.128 14.015 0.000
V14 2.004 0.136 14.720 0.000
V15 1.580 0.128 12.320 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.256 0.038 6.787 0.000
V2 0.198 0.032 6.116 0.000
V3 0.135 0.027 5.042 0.000
V4 0.109 0.023 4.647 0.000
V5 0.438 0.048 9.098 0.000
V6 0.426 0.053 8.024 0.000
V7 0.503 0.053 9.406 0.000
V8 0.452 0.055 8.228 0.000
V9 0.341 0.054 6.292 0.000
V10 0.453 0.057 7.919 0.000
V11 0.246 0.044 5.627 0.000
V12 0.240 0.041 5.872 0.000
V13 0.404 0.050 8.105 0.000
V14 0.363 0.049 7.357 0.000
V15 0.186 0.037 4.955 0.000
Group TERMINAL
FR BY
V1 0.867 0.014 63.793 0.000
V2 0.872 0.013 64.959 0.000
V3 0.906 0.011 81.302 0.000
V4 0.914 0.011 86.548 0.000
V5 0.777 0.021 37.263 0.000
GEN BY
V6 0.775 0.022 35.837 0.000
V7 0.588 0.028 21.360 0.000
V8 0.765 0.022 34.321 0.000
V9 0.821 0.021 39.902 0.000
V10 0.671 0.027 24.713 0.000
MATH BY
V11 0.897 0.013 69.308 0.000
V12 0.889 0.012 74.848 0.000
V13 0.837 0.016 52.182 0.000
V14 0.850 0.015 56.619 0.000
V15 0.938 0.009 99.446 0.000
GEN WITH
FR 0.503 0.044 11.412 0.000
MATH WITH
FR 0.022 0.054 0.411 0.681
GEN 0.442 0.047 9.450 0.000
V11 WITH
V15 0.050 0.091 0.547 0.584
V5 WITH
V4 0.313 0.058 5.412 0.000
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 2.301 0.093 24.771 0.000
V2 1.797 0.080 22.550 0.000
V3 2.007 0.086 23.344 0.000
V4 1.908 0.083 22.867 0.000
V5 2.157 0.086 25.045 0.000
V6 3.238 0.120 27.065 0.000
V7 2.090 0.084 24.774 0.000
V8 3.307 0.120 27.507 0.000
V9 3.159 0.117 27.015 0.000
V10 2.550 0.095 26.742 0.000
V11 2.050 0.087 23.621 0.000
V12 1.855 0.083 22.484 0.000
V13 2.053 0.086 23.888 0.000
V14 2.084 0.087 23.993 0.000
V15 1.762 0.081 21.850 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.248 0.024 10.539 0.000
V2 0.240 0.023 10.239 0.000
V3 0.180 0.020 8.920 0.000
V4 0.165 0.019 8.545 0.000
V5 0.397 0.032 12.257 0.000
V6 0.400 0.034 11.925 0.000
V7 0.654 0.032 20.228 0.000
V8 0.415 0.034 12.166 0.000
V9 0.326 0.034 9.655 0.000
V10 0.550 0.036 15.113 0.000
V11 0.195 0.023 8.407 0.000
V12 0.210 0.021 9.958 0.000
V13 0.300 0.027 11.190 0.000
V14 0.277 0.026 10.861 0.000
V15 0.120 0.018 6.766 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group 6EM
FR BY
V1 1.713 0.094 18.258 0.000
V2 1.632 0.091 17.876 0.000
V3 1.768 0.096 18.438 0.000
V4 1.900 0.101 18.849 0.000
V5 1.670 0.097 17.156 0.000
GEN BY
V6 1.620 0.096 16.858 0.000
V7 1.476 0.099 14.981 0.000
V8 1.653 0.098 16.913 0.000
V9 1.693 0.097 17.453 0.000
V10 1.560 0.100 15.566 0.000
MATH BY
V11 1.848 0.104 17.785 0.000
V12 1.728 0.097 17.864 0.000
V13 1.698 0.098 17.292 0.000
V14 1.714 0.097 17.691 0.000
V15 1.956 0.107 18.337 0.000
GEN WITH
FR 0.705 0.040 17.697 0.000
MATH WITH
FR 0.278 0.068 4.073 0.000
GEN 0.707 0.040 17.532 0.000
V11 WITH
V15 0.362 0.121 2.986 0.003
V12 WITH
V15 -0.202 0.078 -2.587 0.010
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 4.365 0.131 33.355 0.000
V2 3.921 0.134 29.195 0.000
V3 4.179 0.138 30.265 0.000
V4 4.249 0.142 30.018 0.000
V5 4.472 0.142 31.582 0.000
V6 4.769 0.130 36.797 0.000
V7 4.355 0.132 33.016 0.000
V8 5.013 0.133 37.755 0.000
V9 4.937 0.133 37.148 0.000
V10 4.667 0.140 33.322 0.000
V11 4.906 0.151 32.565 0.000
V12 4.669 0.135 34.708 0.000
V13 4.847 0.145 33.536 0.000
V14 5.127 0.139 36.988 0.000
V15 4.798 0.147 32.636 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.680 0.087 7.787 0.000
V2 1.144 0.128 8.944 0.000
V3 0.896 0.108 8.312 0.000
V4 0.616 0.087 7.115 0.000
V5 1.441 0.156 9.218 0.000
V6 0.920 0.113 8.143 0.000
V7 1.492 0.164 9.083 0.000
V8 0.987 0.118 8.334 0.000
V9 0.859 0.107 8.032 0.000
V10 1.704 0.183 9.303 0.000
V11 1.374 0.168 8.161 0.000
V12 0.831 0.120 6.914 0.000
V13 1.525 0.169 9.032 0.000
V14 1.116 0.131 8.501 0.000
V15 0.733 0.133 5.509 0.000
Group 2EM
FR BY
V1 1.399 0.096 14.606 0.000
V2 1.333 0.091 14.641 0.000
V3 1.444 0.097 14.871 0.000
V4 1.552 0.103 15.028 0.000
V5 1.364 0.098 13.970 0.000
GEN BY
V6 1.193 0.092 12.973 0.000
V7 1.087 0.088 12.298 0.000
V8 1.217 0.095 12.865 0.000
V9 1.247 0.095 13.109 0.000
V10 1.149 0.092 12.423 0.000
MATH BY
V11 1.603 0.114 14.113 0.000
V12 1.499 0.105 14.229 0.000
V13 1.473 0.107 13.769 0.000
V14 1.487 0.107 13.884 0.000
V15 1.697 0.118 14.403 0.000
GEN WITH
FR 0.371 0.085 4.373 0.000
MATH WITH
FR 0.015 0.094 0.159 0.874
GEN 0.625 0.066 9.435 0.000
V11 WITH
V15 0.332 0.118 2.819 0.005
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 3.109 0.143 21.687 0.000
V2 2.452 0.132 18.637 0.000
V3 2.673 0.137 19.480 0.000
V4 2.788 0.145 19.182 0.000
V5 3.117 0.161 19.381 0.000
V6 3.523 0.139 25.321 0.000
V7 2.897 0.136 21.255 0.000
V8 4.000 0.145 27.530 0.000
V9 3.618 0.136 26.653 0.000
V10 3.267 0.137 23.785 0.000
V11 3.319 0.163 20.334 0.000
V12 3.058 0.152 20.119 0.000
V13 3.409 0.169 20.223 0.000
V14 3.734 0.165 22.671 0.000
V15 2.972 0.166 17.880 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.674 0.097 6.977 0.000
V2 0.439 0.067 6.566 0.000
V3 0.325 0.057 5.675 0.000
V4 0.295 0.057 5.142 0.000
V5 1.450 0.192 7.549 0.000
V6 1.055 0.158 6.676 0.000
V7 1.196 0.170 7.028 0.000
V8 1.220 0.180 6.762 0.000
V9 0.804 0.134 5.979 0.000
V10 1.095 0.163 6.722 0.000
V11 0.840 0.150 5.594 0.000
V12 0.709 0.120 5.919 0.000
V13 1.469 0.211 6.971 0.000
V14 1.262 0.187 6.733 0.000
V15 0.656 0.131 5.001 0.000
Group TERMINAL
FR BY
V1 1.438 0.062 23.276 0.000
V2 1.370 0.059 23.174 0.000
V3 1.485 0.062 24.080 0.000
V4 1.596 0.065 24.400 0.000
V5 1.403 0.069 20.455 0.000
GEN BY
V6 1.091 0.054 20.350 0.000
V7 0.994 0.059 16.968 0.000
V8 1.113 0.055 20.095 0.000
V9 1.140 0.055 20.914 0.000
V10 1.051 0.059 17.861 0.000
MATH BY
V11 1.705 0.073 23.483 0.000
V12 1.595 0.068 23.417 0.000
V13 1.567 0.072 21.768 0.000
V14 1.582 0.071 22.298 0.000
V15 1.805 0.073 24.781 0.000
GEN WITH
FR 0.503 0.044 11.412 0.000
MATH WITH
FR 0.022 0.054 0.411 0.681
GEN 0.442 0.047 9.450 0.000
V11 WITH
V15 0.028 0.053 0.527 0.598
V5 WITH
V4 0.253 0.059 4.299 0.000
Means
FR 0.000 0.000 999.000 999.000
GEN 0.000 0.000 999.000 999.000
MATH 0.000 0.000 999.000 999.000
Intercepts
V1 3.817 0.085 44.966 0.000
V2 2.825 0.080 35.131 0.000
V3 3.291 0.084 39.223 0.000
V4 3.332 0.089 37.298 0.000
V5 3.895 0.092 42.157 0.000
V6 4.558 0.072 63.280 0.000
V7 3.534 0.087 40.852 0.000
V8 4.812 0.074 64.638 0.000
V9 4.387 0.071 61.739 0.000
V10 3.995 0.080 49.848 0.000
V11 3.898 0.097 40.073 0.000
V12 3.330 0.092 36.264 0.000
V13 3.846 0.096 40.134 0.000
V14 3.877 0.095 40.729 0.000
V15 3.390 0.098 34.434 0.000
Variances
FR 1.000 0.000 999.000 999.000
GEN 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.684 0.061 11.239 0.000
V2 0.592 0.054 11.033 0.000
V3 0.484 0.049 9.886 0.000
V4 0.503 0.054 9.395 0.000
V5 1.294 0.108 12.038 0.000
V6 0.792 0.072 10.935 0.000
V7 1.871 0.145 12.874 0.000
V8 0.878 0.079 11.174 0.000
V9 0.629 0.065 9.709 0.000
V10 1.350 0.111 12.197 0.000
V11 0.706 0.076 9.267 0.000
V12 0.677 0.063 10.828 0.000
V13 1.053 0.087 12.119 0.000
V14 0.960 0.081 11.848 0.000
V15 0.443 0.061 7.306 0.000
R-SQUARE
Group 6EM
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.812 0.027 30.089 0.000
V2 0.699 0.035 20.262 0.000
V3 0.777 0.028 27.940 0.000
V4 0.854 0.022 38.073 0.000
V5 0.659 0.036 18.534 0.000
V6 0.740 0.035 21.196 0.000
V7 0.594 0.045 13.293 0.000
V8 0.735 0.034 21.474 0.000
V9 0.770 0.030 25.593 0.000
V10 0.588 0.040 14.650 0.000
V11 0.713 0.034 21.024 0.000
V12 0.782 0.034 23.152 0.000
V13 0.654 0.036 18.063 0.000
V14 0.725 0.032 22.471 0.000
V15 0.839 0.030 27.637 0.000
Group 2EM
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.744 0.038 19.699 0.000
V2 0.802 0.032 24.719 0.000
V3 0.865 0.027 32.350 0.000
V4 0.891 0.023 37.991 0.000
V5 0.562 0.048 11.673 0.000
V6 0.574 0.053 10.828 0.000
V7 0.497 0.053 9.291 0.000
V8 0.548 0.055 9.991 0.000
V9 0.659 0.054 12.176 0.000
V10 0.547 0.057 9.550 0.000
V11 0.754 0.044 17.215 0.000
V12 0.760 0.041 18.627 0.000
V13 0.596 0.050 11.971 0.000
V14 0.637 0.049 12.886 0.000
V15 0.814 0.037 21.741 0.000
Group TERMINAL
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.752 0.024 31.896 0.000
V2 0.760 0.023 32.479 0.000
V3 0.820 0.020 40.651 0.000
V4 0.835 0.019 43.274 0.000
V5 0.603 0.032 18.631 0.000
V6 0.600 0.034 17.919 0.000
V7 0.346 0.032 10.680 0.000
V8 0.585 0.034 17.161 0.000
V9 0.674 0.034 19.951 0.000
V10 0.450 0.036 12.356 0.000
V11 0.805 0.023 34.654 0.000
V12 0.790 0.021 37.424 0.000
V13 0.700 0.027 26.091 0.000
V14 0.723 0.026 28.309 0.000
V15 0.880 0.018 49.723 0.000
MODEL MODIFICATION INDICES
NOTE: Modification indices for direct effects of observed dependent variables
regressed on covariates may not be included. To include these, request
MODINDICES (ALL).
Minimum M.I. value for printing the modification index 10.000
M.I. E.P.C. Std E.P.C. StdYX E.P.C.
Group 6EM
BY Statements
FR BY V6 11.361 0.178 0.306 0.162
FR BY V10 10.548 -0.213 -0.365 -0.179
GEN BY V11 10.607 -0.170 -0.276 -0.126
GEN BY V12 17.431 0.221 0.358 0.183
MATH BY V7 11.832 0.202 0.374 0.195
WITH Statements
V3 WITH V1 11.759 -0.261 -0.261 -0.334
V12 WITH V7 13.278 0.347 0.347 0.312
V14 WITH V6 12.010 -0.290 -0.290 -0.286
Group 2EM
WITH Statements
V12 WITH V2 10.830 0.204 0.204 0.366
V14 WITH V5 12.568 0.468 0.468 0.346
Group TERMINAL
BY Statements
MATH BY V10 15.725 0.160 0.272 0.174
WITH Statements
V5 WITH V2 11.738 -0.174 -0.174 -0.199
V8 WITH V6 11.583 0.201 0.201 0.241
V11 WITH V6 15.980 0.186 0.186 0.249
V14 WITH V2 10.628 -0.149 -0.149 -0.197
V14 WITH V5 12.262 0.204 0.204 0.183
DIAGRAM INFORMATION
Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
If running Mplus from the Mplus Diagrammer, the diagram opens automatically.
Diagram output
c:\project\mpluslivre\stx\chapitres\chapitre_05\script5.4_analyse_invariance_metrique_partielle.dgm
Beginning Time: 17:47:20
Ending Time: 17:47:21
Elapsed Time: 00:00:01
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