Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 5:31 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 à zéro
![FR@0 GEN@0 MATH@0];
!intercept et residu identique entre les groupes
v1-v15(r1-r15);
v11 WITH v15;
MODEL 6em :
v12 WITH v15;
MODEL 2em :
v1-v15(r1-r15);
MODEL Terminal :
v1-v15(r1-r15);
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 71
Loglikelihood
H0 Value -17227.811
H1 Value -16754.579
Information Criteria
Akaike (AIC) 34597.622
Bayesian (BIC) 34922.847
Sample-Size Adjusted BIC 34697.402
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 946.463
Degrees of Freedom 334
P-Value 0.0000
Chi-Square Contribution From Each Group
6EM 310.550
2EM 293.690
TERMINAL 342.223
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.087
90 Percent C.I. 0.081 0.094
Probability RMSEA <= .05 0.000
CFI/TLI
CFI 0.933
TLI 0.937
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 0.065
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 0.998 0.030 33.768 0.000
V3 1.044 0.029 36.029 0.000
V4 1.121 0.029 38.284 0.000
V5 0.980 0.035 27.886 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.935 0.046 20.309 0.000
V8 0.996 0.040 24.763 0.000
V9 1.039 0.039 26.386 0.000
V10 0.968 0.045 21.740 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.980 0.028 34.516 0.000
V13 0.929 0.032 29.321 0.000
V14 0.952 0.031 31.108 0.000
V15 1.091 0.025 43.113 0.000
GEN WITH
FR 1.929 0.249 7.735 0.000
MATH WITH
FR 0.831 0.229 3.626 0.000
GEN 2.034 0.264 7.714 0.000
V11 WITH
V15 0.140 0.064 2.191 0.028
V12 WITH
V15 -0.223 0.062 -3.591 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 4.523 0.123 36.650 0.000
V2 3.749 0.124 30.327 0.000
V3 4.142 0.128 32.418 0.000
V4 4.244 0.136 31.213 0.000
V5 4.591 0.125 36.713 0.000
V6 4.898 0.121 40.640 0.000
V7 4.093 0.119 34.384 0.000
V8 5.187 0.121 42.939 0.000
V9 4.892 0.124 39.429 0.000
V10 4.509 0.121 37.334 0.000
V11 5.046 0.133 37.998 0.000
V12 4.617 0.129 35.912 0.000
V13 4.948 0.127 39.014 0.000
V14 5.126 0.128 40.021 0.000
V15 4.780 0.141 33.845 0.000
Variances
FR 2.885 0.314 9.202 0.000
GEN 2.631 0.307 8.569 0.000
MATH 3.270 0.357 9.158 0.000
Residual Variances
V1 0.701 0.046 15.305 0.000
V2 0.738 0.048 15.489 0.000
V3 0.576 0.041 14.130 0.000
V4 0.513 0.040 12.764 0.000
V5 1.378 0.081 17.016 0.000
V6 0.890 0.059 14.962 0.000
V7 1.664 0.097 17.153 0.000
V8 0.999 0.064 15.505 0.000
V9 0.732 0.053 13.802 0.000
V10 1.418 0.085 16.674 0.000
V11 0.958 0.068 14.057 0.000
V12 0.711 0.052 13.564 0.000
V13 1.288 0.077 16.668 0.000
V14 1.069 0.067 16.004 0.000
V15 0.558 0.056 9.988 0.000
Group 2EM
FR BY
V1 1.000 0.000 999.000 999.000
V2 0.998 0.030 33.768 0.000
V3 1.044 0.029 36.029 0.000
V4 1.121 0.029 38.284 0.000
V5 0.980 0.035 27.886 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.935 0.046 20.309 0.000
V8 0.996 0.040 24.763 0.000
V9 1.039 0.039 26.386 0.000
V10 0.968 0.045 21.740 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.980 0.028 34.516 0.000
V13 0.929 0.032 29.321 0.000
V14 0.952 0.031 31.108 0.000
V15 1.091 0.025 43.113 0.000
GEN WITH
FR 0.632 0.171 3.692 0.000
MATH WITH
FR 0.042 0.202 0.209 0.834
GEN 1.143 0.214 5.342 0.000
V11 WITH
V15 0.326 0.067 4.864 0.000
Means
FR -1.365 0.174 -7.832 0.000
GEN -1.267 0.166 -7.646 0.000
MATH -1.614 0.194 -8.303 0.000
Intercepts
V1 4.523 0.123 36.650 0.000
V2 3.749 0.124 30.327 0.000
V3 4.142 0.128 32.418 0.000
V4 4.244 0.136 31.213 0.000
V5 4.591 0.125 36.713 0.000
V6 4.898 0.121 40.640 0.000
V7 4.093 0.119 34.384 0.000
V8 5.187 0.121 42.939 0.000
V9 4.892 0.124 39.429 0.000
V10 4.509 0.121 37.334 0.000
V11 5.046 0.133 37.998 0.000
V12 4.617 0.129 35.912 0.000
V13 4.948 0.127 39.014 0.000
V14 5.126 0.128 40.021 0.000
V15 4.780 0.141 33.845 0.000
Variances
FR 1.849 0.257 7.200 0.000
GEN 1.457 0.220 6.622 0.000
MATH 2.439 0.344 7.087 0.000
Residual Variances
V1 0.701 0.046 15.305 0.000
V2 0.738 0.048 15.489 0.000
V3 0.576 0.041 14.130 0.000
V4 0.513 0.040 12.764 0.000
V5 1.378 0.081 17.016 0.000
V6 0.890 0.059 14.962 0.000
V7 1.664 0.097 17.153 0.000
V8 0.999 0.064 15.505 0.000
V9 0.732 0.053 13.802 0.000
V10 1.418 0.085 16.674 0.000
V11 0.958 0.068 14.057 0.000
V12 0.711 0.052 13.564 0.000
V13 1.288 0.077 16.668 0.000
V14 1.069 0.067 16.004 0.000
V15 0.558 0.056 9.988 0.000
Group TERMINAL
FR BY
V1 1.000 0.000 999.000 999.000
V2 0.998 0.030 33.768 0.000
V3 1.044 0.029 36.029 0.000
V4 1.121 0.029 38.284 0.000
V5 0.980 0.035 27.886 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.935 0.046 20.309 0.000
V8 0.996 0.040 24.763 0.000
V9 1.039 0.039 26.386 0.000
V10 0.968 0.045 21.740 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.980 0.028 34.516 0.000
V13 0.929 0.032 29.321 0.000
V14 0.952 0.031 31.108 0.000
V15 1.091 0.025 43.113 0.000
GEN WITH
FR 0.781 0.100 7.832 0.000
MATH WITH
FR 0.047 0.127 0.372 0.710
GEN 0.815 0.113 7.207 0.000
V11 WITH
V15 0.151 0.061 2.458 0.014
V5 WITH
V4 0.273 0.053 5.123 0.000
Means
FR -0.810 0.142 -5.714 0.000
GEN -0.447 0.131 -3.411 0.001
MATH -1.261 0.156 -8.098 0.000
Intercepts
V1 4.523 0.123 36.650 0.000
V2 3.749 0.124 30.327 0.000
V3 4.142 0.128 32.418 0.000
V4 4.244 0.136 31.213 0.000
V5 4.591 0.125 36.713 0.000
V6 4.898 0.121 40.640 0.000
V7 4.093 0.119 34.384 0.000
V8 5.187 0.121 42.939 0.000
V9 4.892 0.124 39.429 0.000
V10 4.509 0.121 37.334 0.000
V11 5.046 0.133 37.998 0.000
V12 4.617 0.129 35.912 0.000
V13 4.948 0.127 39.014 0.000
V14 5.126 0.128 40.021 0.000
V15 4.780 0.141 33.845 0.000
Variances
FR 1.995 0.171 11.652 0.000
GEN 1.175 0.115 10.203 0.000
MATH 2.703 0.235 11.520 0.000
Residual Variances
V1 0.701 0.046 15.305 0.000
V2 0.738 0.048 15.489 0.000
V3 0.576 0.041 14.130 0.000
V4 0.513 0.040 12.764 0.000
V5 1.378 0.081 17.016 0.000
V6 0.890 0.059 14.962 0.000
V7 1.664 0.097 17.153 0.000
V8 0.999 0.064 15.505 0.000
V9 0.732 0.053 13.802 0.000
V10 1.418 0.085 16.674 0.000
V11 0.958 0.068 14.057 0.000
V12 0.711 0.052 13.564 0.000
V13 1.288 0.077 16.668 0.000
V14 1.069 0.067 16.004 0.000
V15 0.558 0.056 9.988 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.513E-03
(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 0.897 0.011 78.271 0.000
V2 0.892 0.012 74.837 0.000
V3 0.919 0.009 98.926 0.000
V4 0.936 0.008 119.466 0.000
V5 0.817 0.018 45.598 0.000
GEN BY
V6 0.864 0.015 56.018 0.000
V7 0.762 0.024 32.321 0.000
V8 0.850 0.016 51.580 0.000
V9 0.892 0.013 70.363 0.000
V10 0.797 0.021 38.572 0.000
MATH BY
V11 0.879 0.013 65.425 0.000
V12 0.903 0.011 79.525 0.000
V13 0.829 0.017 48.820 0.000
V14 0.857 0.015 58.281 0.000
V15 0.935 0.009 103.768 0.000
GEN WITH
FR 0.700 0.040 17.712 0.000
MATH WITH
FR 0.271 0.067 4.037 0.000
GEN 0.693 0.040 17.170 0.000
V11 WITH
V15 0.192 0.081 2.384 0.017
V12 WITH
V15 -0.354 0.105 -3.367 0.001
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 2.388 0.121 19.698 0.000
V2 1.973 0.106 18.661 0.000
V3 2.147 0.116 18.531 0.000
V4 2.087 0.116 17.999 0.000
V5 2.254 0.104 21.605 0.000
V6 2.610 0.128 20.344 0.000
V7 2.056 0.096 21.474 0.000
V8 2.729 0.131 20.913 0.000
V9 2.587 0.132 19.670 0.000
V10 2.289 0.107 21.362 0.000
V11 2.454 0.120 20.501 0.000
V12 2.352 0.120 19.679 0.000
V13 2.441 0.111 21.938 0.000
V14 2.553 0.120 21.326 0.000
V15 2.265 0.122 18.585 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 0.196 0.021 9.516 0.000
V2 0.204 0.021 9.610 0.000
V3 0.155 0.017 9.062 0.000
V4 0.124 0.015 8.459 0.000
V5 0.332 0.029 11.342 0.000
V6 0.253 0.027 9.475 0.000
V7 0.420 0.036 11.691 0.000
V8 0.277 0.028 9.864 0.000
V9 0.205 0.023 9.052 0.000
V10 0.365 0.033 11.099 0.000
V11 0.227 0.024 9.579 0.000
V12 0.185 0.021 9.007 0.000
V13 0.314 0.028 11.150 0.000
V14 0.265 0.025 10.515 0.000
V15 0.125 0.017 7.428 0.000
Group 2EM
FR BY
V1 0.851 0.018 46.516 0.000
V2 0.845 0.019 44.995 0.000
V3 0.882 0.016 56.822 0.000
V4 0.905 0.013 68.584 0.000
V5 0.750 0.026 28.838 0.000
GEN BY
V6 0.788 0.025 31.089 0.000
V7 0.658 0.032 20.312 0.000
V8 0.769 0.027 28.524 0.000
V9 0.826 0.023 36.421 0.000
V10 0.700 0.031 22.675 0.000
MATH BY
V11 0.847 0.019 43.596 0.000
V12 0.876 0.016 53.473 0.000
V13 0.788 0.024 33.215 0.000
V14 0.821 0.021 38.674 0.000
V15 0.916 0.013 70.802 0.000
GEN WITH
FR 0.385 0.085 4.540 0.000
MATH WITH
FR 0.020 0.095 0.209 0.834
GEN 0.606 0.066 9.138 0.000
V11 WITH
V15 0.447 0.075 5.963 0.000
Means
FR -1.004 0.143 -6.995 0.000
GEN -1.050 0.154 -6.796 0.000
MATH -1.033 0.141 -7.318 0.000
Intercepts
V1 2.832 0.161 17.551 0.000
V2 2.335 0.139 16.855 0.000
V3 2.573 0.158 16.295 0.000
V4 2.521 0.161 15.613 0.000
V5 2.585 0.127 20.435 0.000
V6 3.197 0.170 18.841 0.000
V7 2.388 0.111 21.464 0.000
V8 3.317 0.169 19.657 0.000
V9 3.222 0.182 17.653 0.000
V10 2.704 0.129 20.966 0.000
V11 2.738 0.155 17.716 0.000
V12 2.642 0.158 16.738 0.000
V13 2.686 0.137 19.628 0.000
V14 2.831 0.151 18.731 0.000
V15 2.569 0.165 15.522 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 0.275 0.031 8.825 0.000
V2 0.286 0.032 9.017 0.000
V3 0.222 0.027 8.123 0.000
V4 0.181 0.024 7.579 0.000
V5 0.437 0.039 11.193 0.000
V6 0.379 0.040 9.498 0.000
V7 0.566 0.043 13.271 0.000
V8 0.409 0.041 9.854 0.000
V9 0.317 0.037 8.464 0.000
V10 0.510 0.043 11.786 0.000
V11 0.282 0.033 8.557 0.000
V12 0.233 0.029 8.119 0.000
V13 0.380 0.037 10.169 0.000
V14 0.326 0.035 9.354 0.000
V15 0.161 0.024 6.794 0.000
Group TERMINAL
FR BY
V1 0.860 0.013 68.771 0.000
V2 0.854 0.013 66.775 0.000
V3 0.889 0.011 83.699 0.000
V4 0.911 0.009 98.647 0.000
V5 0.763 0.019 40.712 0.000
GEN BY
V6 0.754 0.020 37.153 0.000
V7 0.618 0.025 24.376 0.000
V8 0.734 0.021 34.408 0.000
V9 0.796 0.019 42.401 0.000
V10 0.661 0.024 27.237 0.000
MATH BY
V11 0.859 0.013 64.085 0.000
V12 0.886 0.011 80.063 0.000
V13 0.803 0.016 49.445 0.000
V14 0.834 0.014 58.425 0.000
V15 0.923 0.009 98.402 0.000
GEN WITH
FR 0.510 0.044 11.513 0.000
MATH WITH
FR 0.020 0.055 0.372 0.710
GEN 0.457 0.047 9.749 0.000
V11 WITH
V15 0.206 0.075 2.753 0.006
V5 WITH
V4 0.325 0.055 5.908 0.000
Means
FR -0.573 0.102 -5.601 0.000
GEN -0.413 0.122 -3.380 0.001
MATH -0.767 0.098 -7.797 0.000
Intercepts
V1 2.754 0.114 24.154 0.000
V2 2.272 0.102 22.178 0.000
V3 2.498 0.112 22.382 0.000
V4 2.443 0.113 21.622 0.000
V5 2.530 0.098 25.799 0.000
V6 3.409 0.129 26.328 0.000
V7 2.495 0.096 25.991 0.000
V8 3.525 0.129 27.361 0.000
V9 3.458 0.137 25.270 0.000
V10 2.842 0.106 26.741 0.000
V11 2.637 0.107 24.754 0.000
V12 2.539 0.108 23.497 0.000
V13 2.601 0.100 26.125 0.000
V14 2.733 0.106 25.721 0.000
V15 2.460 0.110 22.266 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 0.260 0.022 12.091 0.000
V2 0.271 0.022 12.401 0.000
V3 0.209 0.019 11.088 0.000
V4 0.170 0.017 10.102 0.000
V5 0.418 0.029 14.644 0.000
V6 0.431 0.031 14.077 0.000
V7 0.618 0.031 19.752 0.000
V8 0.461 0.031 14.741 0.000
V9 0.366 0.030 12.220 0.000
V10 0.563 0.032 17.557 0.000
V11 0.262 0.023 11.353 0.000
V12 0.215 0.020 10.971 0.000
V13 0.356 0.026 13.663 0.000
V14 0.304 0.024 12.754 0.000
V15 0.148 0.017 8.522 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group 6EM
FR BY
V1 0.897 0.011 78.271 0.000
V2 0.892 0.012 74.837 0.000
V3 0.919 0.009 98.926 0.000
V4 0.936 0.008 119.466 0.000
V5 0.817 0.018 45.598 0.000
GEN BY
V6 0.864 0.015 56.018 0.000
V7 0.762 0.024 32.321 0.000
V8 0.850 0.016 51.580 0.000
V9 0.892 0.013 70.363 0.000
V10 0.797 0.021 38.572 0.000
MATH BY
V11 0.879 0.013 65.425 0.000
V12 0.903 0.011 79.525 0.000
V13 0.829 0.017 48.820 0.000
V14 0.857 0.015 58.281 0.000
V15 0.935 0.009 103.768 0.000
GEN WITH
FR 0.700 0.040 17.712 0.000
MATH WITH
FR 0.271 0.067 4.037 0.000
GEN 0.693 0.040 17.170 0.000
V11 WITH
V15 0.192 0.081 2.384 0.017
V12 WITH
V15 -0.354 0.105 -3.367 0.001
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 2.388 0.121 19.698 0.000
V2 1.973 0.106 18.661 0.000
V3 2.147 0.116 18.531 0.000
V4 2.087 0.116 17.999 0.000
V5 2.254 0.104 21.605 0.000
V6 2.610 0.128 20.344 0.000
V7 2.056 0.096 21.474 0.000
V8 2.729 0.131 20.913 0.000
V9 2.587 0.132 19.670 0.000
V10 2.289 0.107 21.362 0.000
V11 2.454 0.120 20.501 0.000
V12 2.352 0.120 19.679 0.000
V13 2.441 0.111 21.938 0.000
V14 2.553 0.120 21.326 0.000
V15 2.265 0.122 18.585 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 0.196 0.021 9.516 0.000
V2 0.204 0.021 9.610 0.000
V3 0.155 0.017 9.062 0.000
V4 0.124 0.015 8.459 0.000
V5 0.332 0.029 11.342 0.000
V6 0.253 0.027 9.475 0.000
V7 0.420 0.036 11.691 0.000
V8 0.277 0.028 9.864 0.000
V9 0.205 0.023 9.052 0.000
V10 0.365 0.033 11.099 0.000
V11 0.227 0.024 9.579 0.000
V12 0.185 0.021 9.007 0.000
V13 0.314 0.028 11.150 0.000
V14 0.265 0.025 10.515 0.000
V15 0.125 0.017 7.428 0.000
Group 2EM
FR BY
V1 0.851 0.018 46.516 0.000
V2 0.845 0.019 44.995 0.000
V3 0.882 0.016 56.822 0.000
V4 0.905 0.013 68.584 0.000
V5 0.750 0.026 28.838 0.000
GEN BY
V6 0.788 0.025 31.089 0.000
V7 0.658 0.032 20.312 0.000
V8 0.769 0.027 28.524 0.000
V9 0.826 0.023 36.421 0.000
V10 0.700 0.031 22.675 0.000
MATH BY
V11 0.847 0.019 43.596 0.000
V12 0.876 0.016 53.473 0.000
V13 0.788 0.024 33.215 0.000
V14 0.821 0.021 38.674 0.000
V15 0.916 0.013 70.802 0.000
GEN WITH
FR 0.385 0.085 4.540 0.000
MATH WITH
FR 0.020 0.095 0.209 0.834
GEN 0.606 0.066 9.138 0.000
V11 WITH
V15 0.447 0.075 5.963 0.000
Means
FR -1.004 0.143 -6.995 0.000
GEN -1.050 0.154 -6.796 0.000
MATH -1.033 0.141 -7.318 0.000
Intercepts
V1 2.832 0.161 17.551 0.000
V2 2.335 0.139 16.855 0.000
V3 2.573 0.158 16.295 0.000
V4 2.521 0.161 15.613 0.000
V5 2.585 0.127 20.435 0.000
V6 3.197 0.170 18.841 0.000
V7 2.388 0.111 21.464 0.000
V8 3.317 0.169 19.657 0.000
V9 3.222 0.182 17.653 0.000
V10 2.704 0.129 20.966 0.000
V11 2.738 0.155 17.716 0.000
V12 2.642 0.158 16.738 0.000
V13 2.686 0.137 19.628 0.000
V14 2.831 0.151 18.731 0.000
V15 2.569 0.165 15.522 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 0.275 0.031 8.825 0.000
V2 0.286 0.032 9.017 0.000
V3 0.222 0.027 8.123 0.000
V4 0.181 0.024 7.579 0.000
V5 0.437 0.039 11.193 0.000
V6 0.379 0.040 9.498 0.000
V7 0.566 0.043 13.271 0.000
V8 0.409 0.041 9.854 0.000
V9 0.317 0.037 8.464 0.000
V10 0.510 0.043 11.786 0.000
V11 0.282 0.033 8.557 0.000
V12 0.233 0.029 8.119 0.000
V13 0.380 0.037 10.169 0.000
V14 0.326 0.035 9.354 0.000
V15 0.161 0.024 6.794 0.000
Group TERMINAL
FR BY
V1 0.860 0.013 68.771 0.000
V2 0.854 0.013 66.775 0.000
V3 0.889 0.011 83.699 0.000
V4 0.911 0.009 98.647 0.000
V5 0.763 0.019 40.712 0.000
GEN BY
V6 0.754 0.020 37.153 0.000
V7 0.618 0.025 24.376 0.000
V8 0.734 0.021 34.408 0.000
V9 0.796 0.019 42.401 0.000
V10 0.661 0.024 27.237 0.000
MATH BY
V11 0.859 0.013 64.085 0.000
V12 0.886 0.011 80.063 0.000
V13 0.803 0.016 49.445 0.000
V14 0.834 0.014 58.425 0.000
V15 0.923 0.009 98.402 0.000
GEN WITH
FR 0.510 0.044 11.513 0.000
MATH WITH
FR 0.020 0.055 0.372 0.710
GEN 0.457 0.047 9.749 0.000
V11 WITH
V15 0.206 0.075 2.753 0.006
V5 WITH
V4 0.325 0.055 5.908 0.000
Means
FR -0.573 0.102 -5.601 0.000
GEN -0.413 0.122 -3.380 0.001
MATH -0.767 0.098 -7.797 0.000
Intercepts
V1 2.754 0.114 24.154 0.000
V2 2.272 0.102 22.178 0.000
V3 2.498 0.112 22.382 0.000
V4 2.443 0.113 21.622 0.000
V5 2.530 0.098 25.799 0.000
V6 3.409 0.129 26.328 0.000
V7 2.495 0.096 25.991 0.000
V8 3.525 0.129 27.361 0.000
V9 3.458 0.137 25.270 0.000
V10 2.842 0.106 26.741 0.000
V11 2.637 0.107 24.754 0.000
V12 2.539 0.108 23.497 0.000
V13 2.601 0.100 26.125 0.000
V14 2.733 0.106 25.721 0.000
V15 2.460 0.110 22.266 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 0.260 0.022 12.091 0.000
V2 0.271 0.022 12.401 0.000
V3 0.209 0.019 11.088 0.000
V4 0.170 0.017 10.102 0.000
V5 0.418 0.029 14.644 0.000
V6 0.431 0.031 14.077 0.000
V7 0.618 0.031 19.752 0.000
V8 0.461 0.031 14.741 0.000
V9 0.366 0.030 12.220 0.000
V10 0.563 0.032 17.557 0.000
V11 0.262 0.023 11.353 0.000
V12 0.215 0.020 10.971 0.000
V13 0.356 0.026 13.663 0.000
V14 0.304 0.024 12.754 0.000
V15 0.148 0.017 8.522 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Group 6EM
FR BY
V1 1.699 0.092 18.404 0.000
V2 1.695 0.093 18.320 0.000
V3 1.773 0.094 18.805 0.000
V4 1.903 0.100 19.060 0.000
V5 1.665 0.096 17.365 0.000
GEN BY
V6 1.622 0.095 17.138 0.000
V7 1.517 0.099 15.362 0.000
V8 1.616 0.095 16.957 0.000
V9 1.686 0.095 17.786 0.000
V10 1.570 0.097 16.117 0.000
MATH BY
V11 1.808 0.099 18.315 0.000
V12 1.772 0.095 18.636 0.000
V13 1.679 0.095 17.653 0.000
V14 1.722 0.095 18.073 0.000
V15 1.974 0.104 19.011 0.000
GEN WITH
FR 0.700 0.040 17.712 0.000
MATH WITH
FR 0.271 0.067 4.037 0.000
GEN 0.693 0.040 17.170 0.000
V11 WITH
V15 0.140 0.064 2.191 0.028
V12 WITH
V15 -0.223 0.062 -3.591 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 4.523 0.123 36.650 0.000
V2 3.749 0.124 30.327 0.000
V3 4.142 0.128 32.418 0.000
V4 4.244 0.136 31.213 0.000
V5 4.591 0.125 36.713 0.000
V6 4.898 0.121 40.640 0.000
V7 4.093 0.119 34.384 0.000
V8 5.187 0.121 42.939 0.000
V9 4.892 0.124 39.429 0.000
V10 4.509 0.121 37.334 0.000
V11 5.046 0.133 37.998 0.000
V12 4.617 0.129 35.912 0.000
V13 4.948 0.127 39.014 0.000
V14 5.126 0.128 40.021 0.000
V15 4.780 0.141 33.845 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 0.701 0.046 15.305 0.000
V2 0.738 0.048 15.489 0.000
V3 0.576 0.041 14.130 0.000
V4 0.513 0.040 12.764 0.000
V5 1.378 0.081 17.016 0.000
V6 0.890 0.059 14.962 0.000
V7 1.664 0.097 17.153 0.000
V8 0.999 0.064 15.505 0.000
V9 0.732 0.053 13.802 0.000
V10 1.418 0.085 16.674 0.000
V11 0.958 0.068 14.057 0.000
V12 0.711 0.052 13.564 0.000
V13 1.288 0.077 16.668 0.000
V14 1.069 0.067 16.004 0.000
V15 0.558 0.056 9.988 0.000
Group 2EM
FR BY
V1 1.360 0.094 14.400 0.000
V2 1.357 0.094 14.389 0.000
V3 1.419 0.098 14.542 0.000
V4 1.524 0.104 14.680 0.000
V5 1.332 0.096 13.845 0.000
GEN BY
V6 1.207 0.091 13.244 0.000
V7 1.128 0.091 12.436 0.000
V8 1.203 0.092 13.065 0.000
V9 1.255 0.094 13.375 0.000
V10 1.168 0.092 12.659 0.000
MATH BY
V11 1.562 0.110 14.173 0.000
V12 1.531 0.106 14.398 0.000
V13 1.451 0.104 13.919 0.000
V14 1.487 0.105 14.097 0.000
V15 1.705 0.117 14.563 0.000
GEN WITH
FR 0.385 0.085 4.540 0.000
MATH WITH
FR 0.020 0.095 0.209 0.834
GEN 0.606 0.066 9.138 0.000
V11 WITH
V15 0.326 0.067 4.864 0.000
Means
FR -1.004 0.143 -6.995 0.000
GEN -1.050 0.154 -6.796 0.000
MATH -1.033 0.141 -7.318 0.000
Intercepts
V1 4.523 0.123 36.650 0.000
V2 3.749 0.124 30.327 0.000
V3 4.142 0.128 32.418 0.000
V4 4.244 0.136 31.213 0.000
V5 4.591 0.125 36.713 0.000
V6 4.898 0.121 40.640 0.000
V7 4.093 0.119 34.384 0.000
V8 5.187 0.121 42.939 0.000
V9 4.892 0.124 39.429 0.000
V10 4.509 0.121 37.334 0.000
V11 5.046 0.133 37.998 0.000
V12 4.617 0.129 35.912 0.000
V13 4.948 0.127 39.014 0.000
V14 5.126 0.128 40.021 0.000
V15 4.780 0.141 33.845 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 0.701 0.046 15.305 0.000
V2 0.738 0.048 15.489 0.000
V3 0.576 0.041 14.130 0.000
V4 0.513 0.040 12.764 0.000
V5 1.378 0.081 17.016 0.000
V6 0.890 0.059 14.962 0.000
V7 1.664 0.097 17.153 0.000
V8 0.999 0.064 15.505 0.000
V9 0.732 0.053 13.802 0.000
V10 1.418 0.085 16.674 0.000
V11 0.958 0.068 14.057 0.000
V12 0.711 0.052 13.564 0.000
V13 1.288 0.077 16.668 0.000
V14 1.069 0.067 16.004 0.000
V15 0.558 0.056 9.988 0.000
Group TERMINAL
FR BY
V1 1.412 0.061 23.304 0.000
V2 1.409 0.061 23.245 0.000
V3 1.474 0.062 23.956 0.000
V4 1.583 0.065 24.385 0.000
V5 1.384 0.067 20.671 0.000
GEN BY
V6 1.084 0.053 20.405 0.000
V7 1.013 0.058 17.568 0.000
V8 1.080 0.054 19.909 0.000
V9 1.127 0.054 20.939 0.000
V10 1.049 0.057 18.358 0.000
MATH BY
V11 1.644 0.071 23.041 0.000
V12 1.611 0.068 23.784 0.000
V13 1.527 0.070 21.774 0.000
V14 1.565 0.069 22.567 0.000
V15 1.794 0.073 24.503 0.000
GEN WITH
FR 0.510 0.044 11.513 0.000
MATH WITH
FR 0.020 0.055 0.372 0.710
GEN 0.457 0.047 9.749 0.000
V11 WITH
V15 0.151 0.061 2.458 0.014
V5 WITH
V4 0.273 0.053 5.123 0.000
Means
FR -0.573 0.102 -5.601 0.000
GEN -0.413 0.122 -3.380 0.001
MATH -0.767 0.098 -7.797 0.000
Intercepts
V1 4.523 0.123 36.650 0.000
V2 3.749 0.124 30.327 0.000
V3 4.142 0.128 32.418 0.000
V4 4.244 0.136 31.213 0.000
V5 4.591 0.125 36.713 0.000
V6 4.898 0.121 40.640 0.000
V7 4.093 0.119 34.384 0.000
V8 5.187 0.121 42.939 0.000
V9 4.892 0.124 39.429 0.000
V10 4.509 0.121 37.334 0.000
V11 5.046 0.133 37.998 0.000
V12 4.617 0.129 35.912 0.000
V13 4.948 0.127 39.014 0.000
V14 5.126 0.128 40.021 0.000
V15 4.780 0.141 33.845 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 0.701 0.046 15.305 0.000
V2 0.738 0.048 15.489 0.000
V3 0.576 0.041 14.130 0.000
V4 0.513 0.040 12.764 0.000
V5 1.378 0.081 17.016 0.000
V6 0.890 0.059 14.962 0.000
V7 1.664 0.097 17.153 0.000
V8 0.999 0.064 15.505 0.000
V9 0.732 0.053 13.802 0.000
V10 1.418 0.085 16.674 0.000
V11 0.958 0.068 14.057 0.000
V12 0.711 0.052 13.564 0.000
V13 1.288 0.077 16.668 0.000
V14 1.069 0.067 16.004 0.000
V15 0.558 0.056 9.988 0.000
R-SQUARE
Group 6EM
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.804 0.021 39.136 0.000
V2 0.796 0.021 37.418 0.000
V3 0.845 0.017 49.463 0.000
V4 0.876 0.015 59.733 0.000
V5 0.668 0.029 22.799 0.000
V6 0.747 0.027 28.009 0.000
V7 0.580 0.036 16.160 0.000
V8 0.723 0.028 25.790 0.000
V9 0.795 0.023 35.182 0.000
V10 0.635 0.033 19.286 0.000
V11 0.773 0.024 32.712 0.000
V12 0.815 0.021 39.763 0.000
V13 0.686 0.028 24.410 0.000
V14 0.735 0.025 29.140 0.000
V15 0.875 0.017 51.884 0.000
Group 2EM
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.725 0.031 23.258 0.000
V2 0.714 0.032 22.497 0.000
V3 0.778 0.027 28.411 0.000
V4 0.819 0.024 34.292 0.000
V5 0.563 0.039 14.419 0.000
V6 0.621 0.040 15.544 0.000
V7 0.434 0.043 10.156 0.000
V8 0.591 0.041 14.262 0.000
V9 0.683 0.037 18.210 0.000
V10 0.490 0.043 11.338 0.000
V11 0.718 0.033 21.798 0.000
V12 0.767 0.029 26.737 0.000
V13 0.620 0.037 16.608 0.000
V14 0.674 0.035 19.337 0.000
V15 0.839 0.024 35.401 0.000
Group TERMINAL
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.740 0.022 34.385 0.000
V2 0.729 0.022 33.387 0.000
V3 0.791 0.019 41.849 0.000
V4 0.830 0.017 49.323 0.000
V5 0.582 0.029 20.356 0.000
V6 0.569 0.031 18.577 0.000
V7 0.382 0.031 12.188 0.000
V8 0.539 0.031 17.204 0.000
V9 0.634 0.030 21.201 0.000
V10 0.437 0.032 13.618 0.000
V11 0.738 0.023 32.043 0.000
V12 0.785 0.020 40.032 0.000
V13 0.644 0.026 24.723 0.000
V14 0.696 0.024 29.213 0.000
V15 0.852 0.017 49.201 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 11.461 0.174 0.295 0.157
FR BY V10 13.194 -0.221 -0.375 -0.190
GEN BY V11 10.608 -0.153 -0.249 -0.121
GEN BY V12 17.056 0.203 0.330 0.168
WITH Statements
V3 WITH V1 24.425 -0.274 -0.274 -0.432
V12 WITH V7 14.693 0.358 0.358 0.329
V14 WITH V6 12.836 -0.282 -0.282 -0.289
Variances/Residual Variances
V2 40.179 0.453 0.453 0.126
V3 32.117 0.341 0.341 0.092
V11 16.925 0.408 0.408 0.097
Means/Intercepts/Thresholds
[ V1 ] 14.212 -0.158 -0.158 -0.083
[ V2 ] 15.863 0.172 0.172 0.091
[ V7 ] 14.590 0.262 0.262 0.131
[ V8 ] 12.084 -0.174 -0.174 -0.092
Group 2EM
WITH Statements
V14 WITH V5 11.869 0.418 0.418 0.344
Variances/Residual Variances
V2 11.464 -0.336 -0.336 -0.130
V3 11.567 -0.285 -0.285 -0.110
Group TERMINAL
BY Statements
MATH BY V1 10.806 -0.087 -0.143 -0.087
MATH BY V2 18.472 0.116 0.190 0.115
MATH BY V10 18.741 0.162 0.266 0.168
WITH Statements
V7 WITH V2 10.124 0.207 0.207 0.187
V8 WITH V6 15.151 0.238 0.238 0.252
V11 WITH V6 13.889 0.199 0.199 0.216
Variances/Residual Variances
V2 10.218 -0.143 -0.143 -0.052
V13 11.451 -0.245 -0.245 -0.068
Means/Intercepts/Thresholds
[ V1 ] 15.493 0.162 0.162 0.099
[ V2 ] 18.480 -0.178 -0.178 -0.108
[ V6 ] 13.683 0.177 0.177 0.123
[ V7 ] 10.880 -0.177 -0.177 -0.108
[ V11 ] 12.967 0.157 0.157 0.082
DIAGRAM INFORMATION
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Diagram output
c:\project\mpluslivre\stx\chapitres\chapitre_05\script5.6_analyse_invariance_residuelle_partielle.dgm
Beginning Time: 17:31:14
Ending Time: 17:31:15
Elapsed Time: 00:00:01
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