Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 4:48 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: Analyse EMIA
DATA: FILE IS toutes_donnees_SM_1_interet.dat;
LISTWISE=ON;
VARIABLE: NAMES ARE fr1-fr5 G1-G5 M1-M5;
MISSING = ALL (999);
USEVARIABLES ARE fr1-fr5 G1-G5 M1-M5;
ANALYSIS: ESTIMATOR=ML;
MODEL: FR by fr1-fr5;
GEN by G1-G5;
MATH by M1-M5;
OUTPUT: MODINDICES (10);
STANDARDIZED;
INPUT READING TERMINATED NORMALLY
Analyse EMIA
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1192
Number of dependent variables 15
Number of independent variables 0
Number of continuous latent variables 3
Observed dependent variables
Continuous
FR1 FR2 FR3 FR4 FR5 G1
G2 G3 G4 G5 M1 M2
M3 M4 M5
Continuous latent variables
FR GEN MATH
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.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
FR1 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
FR2 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
FR3 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
FR4 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
FR5 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
G1 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
G2 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
G3 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
G4 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
G5 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
M1 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
M2 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
M3 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
M4 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
M5 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
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 48
Loglikelihood
H0 Value -28654.040
H1 Value -28351.695
Information Criteria
Akaike (AIC) 57404.080
Bayesian (BIC) 57648.082
Sample-Size Adjusted BIC 57495.616
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 604.689
Degrees of Freedom 87
P-Value 0.0000
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.071
90 Percent C.I. 0.065 0.076
Probability RMSEA <= .05 0.000
CFI/TLI
CFI 0.966
TLI 0.959
Chi-Square Test of Model Fit for the Baseline Model
Value 15510.150
Degrees of Freedom 105
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.038
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 1.000 0.000 999.000 999.000
FR2 0.995 0.024 41.184 0.000
FR3 1.061 0.024 44.912 0.000
FR4 1.149 0.024 47.396 0.000
FR5 1.061 0.028 37.820 0.000
GEN BY
G1 1.000 0.000 999.000 999.000
G2 0.848 0.037 23.206 0.000
G3 0.985 0.033 29.854 0.000
G4 1.059 0.032 33.521 0.000
G5 1.010 0.034 29.302 0.000
MATH BY
M1 1.000 0.000 999.000 999.000
M2 0.895 0.021 43.172 0.000
M3 0.908 0.023 40.194 0.000
M4 0.899 0.022 40.208 0.000
M5 1.058 0.020 54.012 0.000
GEN WITH
FR 1.313 0.081 16.151 0.000
MATH WITH
FR 0.597 0.084 7.073 0.000
GEN 1.412 0.094 15.015 0.000
Intercepts
FR1 3.695 0.049 74.993 0.000
FR2 2.939 0.049 59.804 0.000
FR3 3.265 0.050 65.341 0.000
FR4 3.333 0.053 63.096 0.000
FR5 3.687 0.055 67.490 0.000
G1 4.123 0.049 84.488 0.000
G2 3.557 0.052 68.288 0.000
G3 4.516 0.050 90.184 0.000
G4 4.160 0.049 85.398 0.000
G5 3.794 0.051 73.753 0.000
M1 4.060 0.059 69.327 0.000
M2 3.657 0.055 66.808 0.000
M3 3.988 0.057 69.438 0.000
M4 4.218 0.057 74.318 0.000
M5 3.648 0.059 61.456 0.000
Variances
FR 2.179 0.116 18.721 0.000
GEN 1.861 0.113 16.437 0.000
MATH 3.303 0.166 19.843 0.000
Residual Variances
FR1 0.714 0.035 20.483 0.000
FR2 0.723 0.035 20.580 0.000
FR3 0.524 0.028 18.444 0.000
FR4 0.453 0.028 16.354 0.000
FR5 1.104 0.051 21.612 0.000
G1 0.977 0.050 19.492 0.000
G2 1.896 0.084 22.643 0.000
G3 1.182 0.058 20.520 0.000
G4 0.741 0.043 17.208 0.000
G5 1.258 0.061 20.545 0.000
M1 0.786 0.041 18.965 0.000
M2 0.925 0.045 20.419 0.000
M3 1.208 0.056 21.402 0.000
M4 1.170 0.055 21.375 0.000
M5 0.503 0.034 14.714 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.500E-02
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 0.868 0.008 107.322 0.000
FR2 0.865 0.008 105.493 0.000
FR3 0.908 0.006 147.500 0.000
FR4 0.929 0.005 180.345 0.000
FR5 0.830 0.010 84.287 0.000
GEN BY
G1 0.810 0.012 67.854 0.000
G2 0.643 0.019 34.632 0.000
G3 0.778 0.013 58.575 0.000
G4 0.859 0.010 87.249 0.000
G5 0.775 0.013 57.960 0.000
MATH BY
M1 0.899 0.007 136.013 0.000
M2 0.861 0.009 101.006 0.000
M3 0.832 0.010 84.808 0.000
M4 0.834 0.010 85.523 0.000
M5 0.938 0.005 191.659 0.000
GEN WITH
FR 0.652 0.019 33.915 0.000
MATH WITH
FR 0.223 0.029 7.654 0.000
GEN 0.570 0.022 25.584 0.000
Intercepts
FR1 2.172 0.053 40.919 0.000
FR2 1.732 0.046 37.822 0.000
FR3 1.893 0.048 39.113 0.000
FR4 1.828 0.047 38.615 0.000
FR5 1.955 0.049 39.560 0.000
G1 2.447 0.058 42.276 0.000
G2 1.978 0.050 39.718 0.000
G3 2.612 0.061 42.938 0.000
G4 2.473 0.058 42.388 0.000
G5 2.136 0.052 40.713 0.000
M1 2.008 0.050 39.918 0.000
M2 1.935 0.049 39.420 0.000
M3 2.011 0.050 39.940 0.000
M4 2.153 0.053 40.806 0.000
M5 1.780 0.047 38.229 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
FR1 0.247 0.014 17.587 0.000
FR2 0.251 0.014 17.688 0.000
FR3 0.176 0.011 15.759 0.000
FR4 0.136 0.010 14.199 0.000
FR5 0.310 0.016 18.977 0.000
G1 0.344 0.019 17.804 0.000
G2 0.586 0.024 24.538 0.000
G3 0.395 0.021 19.153 0.000
G4 0.262 0.017 15.475 0.000
G5 0.399 0.021 19.212 0.000
M1 0.192 0.012 16.195 0.000
M2 0.259 0.015 17.658 0.000
M3 0.307 0.016 18.796 0.000
M4 0.305 0.016 18.753 0.000
M5 0.120 0.009 13.024 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 0.868 0.008 107.322 0.000
FR2 0.865 0.008 105.493 0.000
FR3 0.908 0.006 147.500 0.000
FR4 0.929 0.005 180.345 0.000
FR5 0.830 0.010 84.287 0.000
GEN BY
G1 0.810 0.012 67.854 0.000
G2 0.643 0.019 34.632 0.000
G3 0.778 0.013 58.575 0.000
G4 0.859 0.010 87.249 0.000
G5 0.775 0.013 57.960 0.000
MATH BY
M1 0.899 0.007 136.013 0.000
M2 0.861 0.009 101.006 0.000
M3 0.832 0.010 84.808 0.000
M4 0.834 0.010 85.523 0.000
M5 0.938 0.005 191.659 0.000
GEN WITH
FR 0.652 0.019 33.915 0.000
MATH WITH
FR 0.223 0.029 7.654 0.000
GEN 0.570 0.022 25.584 0.000
Intercepts
FR1 2.172 0.053 40.919 0.000
FR2 1.732 0.046 37.822 0.000
FR3 1.893 0.048 39.113 0.000
FR4 1.828 0.047 38.615 0.000
FR5 1.955 0.049 39.560 0.000
G1 2.447 0.058 42.276 0.000
G2 1.978 0.050 39.718 0.000
G3 2.612 0.061 42.938 0.000
G4 2.473 0.058 42.388 0.000
G5 2.136 0.052 40.713 0.000
M1 2.008 0.050 39.918 0.000
M2 1.935 0.049 39.420 0.000
M3 2.011 0.050 39.940 0.000
M4 2.153 0.053 40.806 0.000
M5 1.780 0.047 38.229 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
FR1 0.247 0.014 17.587 0.000
FR2 0.251 0.014 17.688 0.000
FR3 0.176 0.011 15.759 0.000
FR4 0.136 0.010 14.199 0.000
FR5 0.310 0.016 18.977 0.000
G1 0.344 0.019 17.804 0.000
G2 0.586 0.024 24.538 0.000
G3 0.395 0.021 19.153 0.000
G4 0.262 0.017 15.475 0.000
G5 0.399 0.021 19.212 0.000
M1 0.192 0.012 16.195 0.000
M2 0.259 0.015 17.658 0.000
M3 0.307 0.016 18.796 0.000
M4 0.305 0.016 18.753 0.000
M5 0.120 0.009 13.024 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 1.476 0.039 37.442 0.000
FR2 1.468 0.039 37.269 0.000
FR3 1.566 0.039 40.387 0.000
FR4 1.695 0.040 42.096 0.000
FR5 1.566 0.045 34.908 0.000
GEN BY
G1 1.364 0.042 32.874 0.000
G2 1.157 0.048 23.939 0.000
G3 1.344 0.043 30.970 0.000
G4 1.445 0.040 36.027 0.000
G5 1.377 0.045 30.838 0.000
MATH BY
M1 1.817 0.046 39.686 0.000
M2 1.627 0.044 36.889 0.000
M3 1.651 0.047 35.003 0.000
M4 1.634 0.047 35.094 0.000
M5 1.923 0.045 42.753 0.000
GEN WITH
FR 0.652 0.019 33.915 0.000
MATH WITH
FR 0.223 0.029 7.654 0.000
GEN 0.570 0.022 25.584 0.000
Intercepts
FR1 3.695 0.049 74.993 0.000
FR2 2.939 0.049 59.804 0.000
FR3 3.265 0.050 65.341 0.000
FR4 3.333 0.053 63.096 0.000
FR5 3.687 0.055 67.490 0.000
G1 4.123 0.049 84.488 0.000
G2 3.557 0.052 68.288 0.000
G3 4.516 0.050 90.184 0.000
G4 4.160 0.049 85.398 0.000
G5 3.794 0.051 73.753 0.000
M1 4.060 0.059 69.327 0.000
M2 3.657 0.055 66.808 0.000
M3 3.988 0.057 69.438 0.000
M4 4.218 0.057 74.318 0.000
M5 3.648 0.059 61.456 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
FR1 0.714 0.035 20.483 0.000
FR2 0.723 0.035 20.580 0.000
FR3 0.524 0.028 18.444 0.000
FR4 0.453 0.028 16.354 0.000
FR5 1.104 0.051 21.612 0.000
G1 0.977 0.050 19.492 0.000
G2 1.896 0.084 22.643 0.000
G3 1.182 0.058 20.520 0.000
G4 0.741 0.043 17.208 0.000
G5 1.258 0.061 20.545 0.000
M1 0.786 0.041 18.965 0.000
M2 0.925 0.045 20.419 0.000
M3 1.208 0.056 21.402 0.000
M4 1.170 0.055 21.375 0.000
M5 0.503 0.034 14.714 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
FR1 0.753 0.014 53.661 0.000
FR2 0.749 0.014 52.747 0.000
FR3 0.824 0.011 73.750 0.000
FR4 0.864 0.010 90.173 0.000
FR5 0.690 0.016 42.143 0.000
G1 0.656 0.019 33.927 0.000
G2 0.414 0.024 17.316 0.000
G3 0.605 0.021 29.288 0.000
G4 0.738 0.017 43.625 0.000
G5 0.601 0.021 28.980 0.000
M1 0.808 0.012 68.006 0.000
M2 0.741 0.015 50.503 0.000
M3 0.693 0.016 42.404 0.000
M4 0.695 0.016 42.762 0.000
M5 0.880 0.009 95.829 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 M1 24.077 -0.102 -0.151 -0.075
FR BY M2 19.366 0.095 0.140 0.074
GEN BY FR5 13.095 0.126 0.172 0.091
GEN BY M1 59.018 -0.219 -0.298 -0.147
GEN BY M2 52.199 0.213 0.290 0.154
GEN BY M4 10.002 0.103 0.140 0.072
MATH BY G3 14.098 -0.094 -0.171 -0.099
MATH BY G5 43.113 0.169 0.307 0.173
WITH Statements
FR2 WITH FR1 29.818 0.143 0.143 0.199
FR3 WITH FR1 11.658 -0.085 -0.085 -0.139
FR5 WITH FR2 27.925 -0.165 -0.165 -0.184
G1 WITH FR1 26.046 0.147 0.147 0.176
G2 WITH FR1 15.303 -0.148 -0.148 -0.127
G3 WITH G1 16.462 0.167 0.167 0.155
G5 WITH FR5 15.884 0.155 0.155 0.132
M1 WITH FR1 20.073 0.118 0.118 0.158
M1 WITH FR5 15.128 -0.125 -0.125 -0.134
M1 WITH G1 19.049 0.137 0.137 0.156
M1 WITH G3 13.311 -0.123 -0.123 -0.128
M1 WITH G4 13.594 -0.107 -0.107 -0.140
M2 WITH G2 33.542 0.248 0.248 0.187
M3 WITH G2 11.475 -0.163 -0.163 -0.108
M3 WITH G3 12.986 0.143 0.143 0.119
M3 WITH G5 11.896 0.141 0.141 0.114
M4 WITH FR2 10.167 -0.097 -0.097 -0.106
M4 WITH FR5 44.414 0.246 0.246 0.217
M4 WITH M1 17.579 -0.153 -0.153 -0.160
M5 WITH M1 66.342 0.294 0.294 0.467
M5 WITH M2 21.494 -0.156 -0.156 -0.228
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_04\script4.1_analyse_confirmatoire.dgm
Beginning Time: 16:48:51
Ending Time: 16:48:52
Elapsed Time: 00:00:01
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2021 Muthen & Muthen