Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 5:52 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: MES
DATA: FILE IS toutes_donnees_SM_modelisation.dat;
VARIABLE: NAMES ARE v1-v24 classe;
USEVARIABLES ARE v1-v24;
MODEL: FR by v1-v5;
GEN by v6-v10;
MATH by v11-v15;
Satiscol by v16-v19;
SWLS by v20-v24;
SWLS on Satiscol;
Satiscol on GEN FR MATH;
GEN on FR MATH;
OUTPUT: STDYX;
MODINDICES;
INPUT READING TERMINATED NORMALLY
MES
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1192
Number of dependent variables 24
Number of independent variables 0
Number of continuous latent variables 5
Observed dependent variables
Continuous
V1 V2 V3 V4 V5 V6
V7 V8 V9 V10 V11 V12
V13 V14 V15 V16 V17 V18
V19 V20 V21 V22 V23 V24
Continuous latent variables
FR GEN MATH SATISCOL SWLS
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_modelisation.dat
Input data format FREE
UNIVARIATE SAMPLE STATISTICS
UNIVARIATE HIGHER-ORDER MOMENT DESCRIPTIVE STATISTICS
Variable/ Mean/ Skewness/ Minimum/ % with Percentiles
Sample Size Variance Kurtosis Maximum Min/Max 20%/60% 40%/80% Median
V1 3.695 0.107 1.000 12.00% 2.000 3.000 4.000
1192.000 2.893 -0.848 7.000 6.04% 4.000 5.000
V2 2.939 0.683 1.000 24.83% 1.000 2.000 3.000
1192.000 2.879 -0.343 7.000 4.78% 3.000 4.000
V3 3.265 0.391 1.000 19.13% 2.000 3.000 3.000
1192.000 2.976 -0.750 7.000 4.87% 4.000 5.000
V4 3.333 0.375 1.000 20.47% 1.000 3.000 3.000
1192.000 3.327 -0.886 7.486 0.08% 4.000 5.000
V5 3.687 0.135 1.000 16.78% 2.000 3.000 4.000
1192.000 3.557 -1.072 7.000 9.23% 4.000 5.000
V6 4.123 -0.152 1.000 7.97% 2.000 4.000 4.000
1192.000 2.838 -0.776 7.000 8.81% 5.000 6.000
V7 3.557 0.271 1.000 15.35% 2.000 3.000 4.000
1192.000 3.234 -0.863 7.000 8.31% 4.000 5.000
V8 4.516 -0.395 1.000 7.05% 3.000 4.000 5.000
1192.000 2.990 -0.658 7.000 14.43% 5.000 6.000
V9 4.160 -0.141 1.000 7.47% 3.000 4.000 4.000
1192.000 2.829 -0.781 7.000 9.06% 5.000 6.000
V10 3.794 0.024 0.000 0.08% 2.000 3.000 4.000
1192.000 3.155 -0.902 7.000 7.80% 4.000 5.000
V11 4.060 -0.088 1.000 15.69% 2.000 3.000 4.000
1192.000 4.089 -1.242 7.000 15.02% 5.000 6.000
V12 3.657 0.191 1.000 16.02% 2.000 3.000 4.000
1192.000 3.572 -1.073 7.000 9.56% 4.000 5.000
V13 3.988 -0.037 1.000 15.18% 2.000 3.000 4.000
1192.000 3.932 -1.197 7.000 13.84% 5.000 6.000
V14 4.218 -0.142 1.000 11.33% 2.000 4.000 4.000
1192.000 3.839 -1.176 7.000 16.19% 5.000 6.000
V15 3.648 0.202 1.000 21.22% 1.000 3.000 4.000
1192.000 4.201 -1.236 7.000 12.58% 4.000 6.000
V16 3.920 -0.109 1.000 12.16% 2.000 4.000 4.000
1192.000 2.975 -0.818 7.000 7.38% 5.000 5.000
V17 2.910 0.498 1.000 26.26% 1.000 2.000 3.000
1192.000 2.568 -0.511 7.000 2.77% 3.000 4.000
V18 4.719 -0.457 1.000 4.19% 4.000 4.000 5.000
1192.000 2.389 -0.209 7.000 14.18% 5.000 6.000
V19 4.589 -0.429 1.000 14.43% 2.000 4.000 5.000
1192.000 4.367 -1.082 7.000 26.34% 6.000 7.000
V20 4.514 -0.418 1.000 4.70% 3.000 4.000 5.000
1192.000 2.326 -0.235 7.000 9.56% 5.000 6.000
V21 5.399 -0.997 1.000 2.35% 4.000 5.000 6.000
1192.000 2.123 0.694 7.200 0.08% 6.000 7.000
V22 5.238 -0.849 1.000 2.60% 4.000 5.000 5.267
1192.000 2.314 0.207 7.000 22.99% 6.000 7.000
V23 4.545 -0.355 1.000 6.80% 3.000 4.000 5.000
1192.000 3.062 -0.728 7.000 16.02% 5.000 6.000
V24 4.333 -0.273 1.000 13.26% 2.000 4.000 5.000
1192.000 4.038 -1.158 7.000 17.95% 5.000 6.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 79
Loglikelihood
H0 Value -46989.403
H1 Value -46413.200
Information Criteria
Akaike (AIC) 94136.805
Bayesian (BIC) 94538.393
Sample-Size Adjusted BIC 94287.459
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 1152.405
Degrees of Freedom 245
P-Value 0.0000
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.056
90 Percent C.I. 0.053 0.059
Probability RMSEA <= .05 0.002
CFI/TLI
CFI 0.956
TLI 0.951
Chi-Square Test of Model Fit for the Baseline Model
Value 20951.819
Degrees of Freedom 276
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.046
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
V1 1.000 0.000 999.000 999.000
V2 0.994 0.024 41.236 0.000
V3 1.060 0.024 44.951 0.000
V4 1.147 0.024 47.411 0.000
V5 1.061 0.028 37.862 0.000
GEN BY
V6 1.000 0.000 999.000 999.000
V7 0.843 0.035 23.879 0.000
V8 0.970 0.032 30.584 0.000
V9 1.034 0.030 34.335 0.000
V10 0.980 0.033 29.523 0.000
MATH BY
V11 1.000 0.000 999.000 999.000
V12 0.895 0.021 43.215 0.000
V13 0.908 0.023 40.197 0.000
V14 0.898 0.022 40.203 0.000
V15 1.058 0.020 54.091 0.000
SATISCOL BY
V16 1.000 0.000 999.000 999.000
V17 0.917 0.035 26.413 0.000
V18 0.794 0.036 22.187 0.000
V19 0.905 0.047 19.113 0.000
SWLS BY
V20 1.000 0.000 999.000 999.000
V21 0.857 0.036 24.038 0.000
V22 1.095 0.037 29.250 0.000
V23 1.012 0.042 23.987 0.000
V24 1.188 0.048 24.527 0.000
SWLS ON
SATISCOL 0.278 0.030 9.155 0.000
SATISCOL ON
GEN 0.754 0.048 15.750 0.000
FR 0.030 0.032 0.929 0.353
MATH 0.016 0.024 0.663 0.508
GEN ON
FR 0.520 0.025 21.112 0.000
MATH 0.339 0.019 18.139 0.000
MATH WITH
FR 0.598 0.085 7.072 0.000
Intercepts
V1 3.695 0.049 74.991 0.000
V2 2.939 0.049 59.802 0.000
V3 3.265 0.050 65.339 0.000
V4 3.333 0.053 63.094 0.000
V5 3.687 0.055 67.489 0.000
V6 4.123 0.049 84.487 0.000
V7 3.557 0.052 68.287 0.000
V8 4.516 0.050 90.183 0.000
V9 4.160 0.049 85.397 0.000
V10 3.794 0.051 73.752 0.000
V11 4.060 0.059 69.329 0.000
V12 3.657 0.055 66.809 0.000
V13 3.988 0.057 69.439 0.000
V14 4.218 0.057 74.319 0.000
V15 3.648 0.059 61.457 0.000
V16 3.920 0.050 78.475 0.000
V17 2.910 0.046 62.694 0.000
V18 4.719 0.045 105.404 0.000
V19 4.589 0.061 75.817 0.000
V20 4.514 0.044 102.187 0.000
V21 5.399 0.042 127.944 0.000
V22 5.238 0.044 118.886 0.000
V23 4.545 0.051 89.668 0.000
V24 4.333 0.058 74.443 0.000
Variances
FR 2.181 0.116 18.735 0.000
MATH 3.305 0.166 19.859 0.000
Residual Variances
V1 0.712 0.035 20.466 0.000
V2 0.722 0.035 20.578 0.000
V3 0.524 0.028 18.459 0.000
V4 0.455 0.028 16.414 0.000
V5 1.103 0.051 21.608 0.000
V6 0.918 0.047 19.511 0.000
V7 1.870 0.082 22.747 0.000
V8 1.182 0.057 20.870 0.000
V9 0.774 0.043 18.158 0.000
V10 1.311 0.062 21.124 0.000
V11 0.784 0.041 18.950 0.000
V12 0.925 0.045 20.421 0.000
V13 1.210 0.056 21.417 0.000
V14 1.173 0.055 21.392 0.000
V15 0.502 0.034 14.721 0.000
V16 1.184 0.067 17.557 0.000
V17 1.063 0.059 18.069 0.000
V18 1.262 0.062 20.333 0.000
V19 2.901 0.130 22.304 0.000
V20 0.906 0.049 18.561 0.000
V21 1.080 0.051 21.019 0.000
V22 0.611 0.043 14.371 0.000
V23 1.610 0.076 21.164 0.000
V24 2.033 0.097 20.888 0.000
GEN 0.739 0.050 14.693 0.000
SATISCOL 0.600 0.059 10.207 0.000
SWLS 1.281 0.085 15.004 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.669E-02
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
V1 0.868 0.008 107.650 0.000
V2 0.866 0.008 105.633 0.000
V3 0.908 0.006 147.452 0.000
V4 0.929 0.005 179.727 0.000
V5 0.831 0.010 84.371 0.000
GEN BY
V6 0.823 0.011 73.773 0.000
V7 0.649 0.018 35.697 0.000
V8 0.778 0.013 59.481 0.000
V9 0.852 0.010 86.201 0.000
V10 0.765 0.014 56.004 0.000
MATH BY
V11 0.899 0.007 136.514 0.000
V12 0.861 0.009 101.032 0.000
V13 0.832 0.010 84.659 0.000
V14 0.833 0.010 85.329 0.000
V15 0.938 0.005 191.971 0.000
SATISCOL BY
V16 0.776 0.015 50.493 0.000
V17 0.766 0.016 48.932 0.000
V18 0.687 0.019 37.072 0.000
V19 0.579 0.022 26.469 0.000
SWLS BY
V20 0.781 0.014 54.745 0.000
V21 0.701 0.017 40.836 0.000
V22 0.858 0.012 74.232 0.000
V23 0.689 0.018 38.944 0.000
V24 0.705 0.017 41.290 0.000
SWLS ON
SATISCOL 0.312 0.031 10.145 0.000
SATISCOL ON
GEN 0.781 0.041 19.136 0.000
FR 0.033 0.035 0.929 0.353
MATH 0.021 0.032 0.662 0.508
GEN ON
FR 0.554 0.020 27.577 0.000
MATH 0.445 0.021 20.794 0.000
MATH WITH
FR 0.223 0.029 7.651 0.000
Intercepts
V1 2.172 0.053 40.918 0.000
V2 1.732 0.046 37.821 0.000
V3 1.892 0.048 39.112 0.000
V4 1.827 0.047 38.614 0.000
V5 1.955 0.049 39.559 0.000
V6 2.447 0.058 42.274 0.000
V7 1.978 0.050 39.718 0.000
V8 2.612 0.061 42.937 0.000
V9 2.473 0.058 42.387 0.000
V10 2.136 0.052 40.713 0.000
V11 2.008 0.050 39.920 0.000
V12 1.935 0.049 39.420 0.000
V13 2.011 0.050 39.941 0.000
V14 2.153 0.053 40.807 0.000
V15 1.780 0.047 38.229 0.000
V16 2.273 0.055 41.457 0.000
V17 1.816 0.047 38.522 0.000
V18 3.053 0.069 44.304 0.000
V19 2.196 0.053 41.050 0.000
V20 2.960 0.067 44.055 0.000
V21 3.706 0.081 45.617 0.000
V22 3.443 0.076 45.165 0.000
V23 2.597 0.061 42.881 0.000
V24 2.156 0.053 40.828 0.000
Variances
FR 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
V1 0.246 0.014 17.569 0.000
V2 0.251 0.014 17.684 0.000
V3 0.176 0.011 15.769 0.000
V4 0.137 0.010 14.241 0.000
V5 0.310 0.016 18.971 0.000
V6 0.323 0.018 17.623 0.000
V7 0.578 0.024 24.470 0.000
V8 0.395 0.020 19.435 0.000
V9 0.274 0.017 16.238 0.000
V10 0.415 0.021 19.902 0.000
V11 0.192 0.012 16.181 0.000
V12 0.259 0.015 17.660 0.000
V13 0.308 0.016 18.813 0.000
V14 0.306 0.016 18.772 0.000
V15 0.120 0.009 13.029 0.000
V16 0.398 0.024 16.699 0.000
V17 0.414 0.024 17.272 0.000
V18 0.528 0.025 20.741 0.000
V19 0.664 0.025 26.179 0.000
V20 0.390 0.022 17.480 0.000
V21 0.509 0.024 21.160 0.000
V22 0.264 0.020 13.323 0.000
V23 0.526 0.024 21.585 0.000
V24 0.504 0.024 20.943 0.000
GEN 0.385 0.022 17.890 0.000
SATISCOL 0.335 0.026 12.947 0.000
SWLS 0.903 0.019 47.036 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
V1 0.754 0.014 53.825 0.000
V2 0.749 0.014 52.816 0.000
V3 0.824 0.011 73.726 0.000
V4 0.863 0.010 89.863 0.000
V5 0.690 0.016 42.185 0.000
V6 0.677 0.018 36.886 0.000
V7 0.422 0.024 17.849 0.000
V8 0.605 0.020 29.740 0.000
V9 0.726 0.017 43.100 0.000
V10 0.585 0.021 28.002 0.000
V11 0.808 0.012 68.257 0.000
V12 0.741 0.015 50.516 0.000
V13 0.692 0.016 42.330 0.000
V14 0.694 0.016 42.665 0.000
V15 0.880 0.009 95.986 0.000
V16 0.602 0.024 25.247 0.000
V17 0.586 0.024 24.466 0.000
V18 0.472 0.025 18.536 0.000
V19 0.336 0.025 13.235 0.000
V20 0.610 0.022 27.372 0.000
V21 0.491 0.024 20.418 0.000
V22 0.736 0.020 37.116 0.000
V23 0.474 0.024 19.472 0.000
V24 0.496 0.024 20.645 0.000
Latent Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
GEN 0.615 0.022 28.604 0.000
SATISCOL 0.665 0.026 25.676 0.000
SWLS 0.097 0.019 5.073 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.
BY Statements
FR BY V11 23.963 -0.102 -0.150 -0.074
FR BY V12 19.466 0.095 0.141 0.074
GEN BY V4 10.765 -0.083 -0.116 -0.063
GEN BY V5 13.698 0.126 0.175 0.093
GEN BY V11 53.241 -0.203 -0.281 -0.139
GEN BY V12 52.946 0.209 0.290 0.153
GEN BY V16 25.244 -0.387 -0.536 -0.311
GEN BY V18 53.847 0.487 0.674 0.436
MATH BY V8 13.645 -0.092 -0.167 -0.097
MATH BY V10 46.467 0.177 0.321 0.181
MATH BY V16 10.591 -0.086 -0.156 -0.090
SATISCOL BY V4 13.725 -0.091 -0.121 -0.067
SATISCOL BY V5 11.444 0.111 0.149 0.079
SATISCOL BY V6 26.075 0.301 0.403 0.239
SATISCOL BY V10 18.598 -0.285 -0.381 -0.214
SATISCOL BY V11 20.676 -0.126 -0.169 -0.083
SATISCOL BY V12 34.184 0.168 0.225 0.119
SWLS BY V12 15.043 0.106 0.126 0.067
ON/BY Statements
MATH ON SWLS /
SWLS BY MATH 26.786 0.286 0.187 0.187
SWLS ON MATH /
MATH BY SWLS 29.303 0.128 0.195 0.195
WITH Statements
V2 WITH V1 28.995 0.141 0.141 0.197
V3 WITH V1 12.199 -0.087 -0.087 -0.142
V5 WITH V2 28.436 -0.166 -0.166 -0.186
V6 WITH V1 23.017 0.134 0.134 0.166
V7 WITH V1 17.477 -0.156 -0.156 -0.135
V10 WITH V5 15.029 0.152 0.152 0.127
V11 WITH V1 19.581 0.116 0.116 0.156
V11 WITH V5 15.512 -0.126 -0.126 -0.135
V11 WITH V6 16.835 0.125 0.125 0.147
V11 WITH V8 15.820 -0.133 -0.133 -0.139
V11 WITH V9 16.269 -0.116 -0.116 -0.149
V12 WITH V7 32.221 0.241 0.241 0.183
V13 WITH V7 10.694 -0.156 -0.156 -0.104
V13 WITH V8 14.780 0.151 0.151 0.126
V13 WITH V10 13.647 0.152 0.152 0.121
V14 WITH V5 44.704 0.247 0.247 0.217
V14 WITH V11 17.530 -0.153 -0.153 -0.159
V15 WITH V6 11.259 -0.091 -0.091 -0.134
V15 WITH V11 63.672 0.288 0.288 0.459
V15 WITH V12 21.770 -0.156 -0.156 -0.229
V17 WITH V2 12.604 0.109 0.109 0.125
V17 WITH V7 10.257 0.152 0.152 0.108
V17 WITH V14 14.880 -0.148 -0.148 -0.133
V17 WITH V16 53.692 0.394 0.394 0.351
V18 WITH V9 19.070 0.154 0.154 0.156
V18 WITH V17 20.496 -0.211 -0.211 -0.183
V19 WITH V6 31.959 0.307 0.307 0.188
V21 WITH V17 10.329 -0.119 -0.119 -0.111
V21 WITH V18 18.361 0.165 0.165 0.141
V22 WITH V3 10.802 -0.075 -0.075 -0.133
V22 WITH V20 13.960 -0.160 -0.160 -0.215
V22 WITH V21 47.801 0.268 0.268 0.330
V23 WITH V21 39.187 -0.288 -0.288 -0.218
V24 WITH V23 14.464 0.241 0.241 0.133
SWLS WITH MATH 26.787 0.366 0.178 0.178
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_06\script6.1_analyse_mes.dgm
Beginning Time: 17:52:57
Ending Time: 17:52:57
Elapsed Time: 00:00:00
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