Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 4:48 PM
OUTPUT SECTIONS
INPUT INSTRUCTIONS
TITLE: MESE 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 GEN MATH by fr1-fr5 G1-G5 M1-M5 (*1);
OUTPUT: MODINDICES;
STANDARDIZED;
INPUT READING TERMINATED NORMALLY
MESE 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
EFA factors
*1: FR GEN MATH
Estimator ML
Rotation GEOMIN
Row standardization CORRELATION
Type of rotation OBLIQUE
Epsilon value Varies
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Optimization Specifications for the Exploratory Factor Analysis
Rotation Algorithm
Number of random starts 30
Maximum number of iterations 10000
Derivative convergence criterion 0.100D-04
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 72
Loglikelihood
H0 Value -28530.413
H1 Value -28351.695
Information Criteria
Akaike (AIC) 57204.825
Bayesian (BIC) 57570.829
Sample-Size Adjusted BIC 57342.130
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 357.434
Degrees of Freedom 63
P-Value 0.0000
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.063
90 Percent C.I. 0.056 0.069
Probability RMSEA <= .05 0.001
CFI/TLI
CFI 0.981
TLI 0.968
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 0.014
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 1.480 0.043 34.270 0.000
FR2 1.489 0.047 31.549 0.000
FR3 1.504 0.046 32.591 0.000
FR4 1.697 0.044 38.587 0.000
FR5 1.379 0.055 25.248 0.000
G1 0.153 0.056 2.714 0.007
G2 0.111 0.064 1.727 0.084
G3 -0.057 0.056 -1.024 0.306
G4 0.029 0.049 0.590 0.555
G5 0.008 0.021 0.397 0.691
M1 0.037 0.034 1.088 0.276
M2 -0.016 0.032 -0.497 0.619
M3 -0.023 0.041 -0.557 0.578
M4 -0.012 0.038 -0.313 0.754
M5 0.014 0.035 0.396 0.692
GEN BY
FR1 0.005 0.030 0.164 0.870
FR2 -0.066 0.042 -1.571 0.116
FR3 0.079 0.046 1.735 0.083
FR4 0.002 0.029 0.060 0.952
FR5 0.331 0.058 5.751 0.000
G1 1.228 0.059 20.714 0.000
G2 0.965 0.075 12.874 0.000
G3 1.470 0.063 23.395 0.000
G4 1.436 0.054 26.830 0.000
G5 1.218 0.058 21.024 0.000
M1 -0.199 0.059 -3.406 0.001
M2 0.300 0.061 4.878 0.000
M3 0.198 0.068 2.913 0.004
M4 0.212 0.068 3.123 0.002
M5 -0.005 0.013 -0.409 0.683
MATH BY
FR1 -0.017 0.025 -0.682 0.495
FR2 0.132 0.033 3.969 0.000
FR3 0.045 0.029 1.556 0.120
FR4 0.002 0.020 0.085 0.932
FR5 -0.144 0.042 -3.443 0.001
G1 0.044 0.038 1.170 0.242
G2 0.200 0.058 3.438 0.001
G3 -0.114 0.052 -2.178 0.029
G4 -0.003 0.024 -0.132 0.895
G5 0.277 0.055 5.019 0.000
M1 1.935 0.056 34.382 0.000
M2 1.463 0.052 28.081 0.000
M3 1.540 0.057 26.962 0.000
M4 1.510 0.056 26.776 0.000
M5 1.930 0.046 42.038 0.000
GEN WITH
FR 0.615 0.027 22.951 0.000
MATH WITH
FR 0.181 0.034 5.399 0.000
GEN 0.519 0.032 16.266 0.000
Intercepts
FR1 3.695 0.049 74.991 0.000
FR2 2.939 0.049 59.803 0.000
FR3 3.265 0.050 65.339 0.000
FR4 3.333 0.053 63.095 0.000
FR5 3.687 0.055 67.489 0.000
G1 4.123 0.049 84.487 0.000
G2 3.557 0.052 68.287 0.000
G3 4.516 0.050 90.183 0.000
G4 4.160 0.049 85.397 0.000
G5 3.794 0.051 73.752 0.000
M1 4.060 0.059 69.328 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 0.702 0.035 20.021 0.000
FR2 0.699 0.035 19.881 0.000
FR3 0.531 0.028 18.633 0.000
FR4 0.443 0.029 15.517 0.000
FR5 1.085 0.050 21.837 0.000
G1 1.014 0.051 19.696 0.000
G2 1.911 0.083 22.934 0.000
G3 1.089 0.060 18.065 0.000
G4 0.719 0.046 15.537 0.000
G5 1.232 0.060 20.672 0.000
M1 0.688 0.041 16.845 0.000
M2 0.902 0.043 21.008 0.000
M3 1.223 0.056 21.831 0.000
M4 1.191 0.054 21.859 0.000
M5 0.477 0.034 14.115 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.884E-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 0.870 0.013 66.013 0.000
FR2 0.877 0.017 50.780 0.000
FR3 0.872 0.017 51.611 0.000
FR4 0.930 0.011 84.073 0.000
FR5 0.731 0.022 33.244 0.000
G1 0.091 0.033 2.718 0.007
G2 0.062 0.036 1.729 0.084
G3 -0.033 0.032 -1.024 0.306
G4 0.017 0.029 0.590 0.555
G5 0.005 0.012 0.397 0.691
M1 0.018 0.017 1.088 0.276
M2 -0.009 0.017 -0.497 0.619
M3 -0.011 0.021 -0.557 0.578
M4 -0.006 0.020 -0.313 0.754
M5 0.007 0.017 0.396 0.692
GEN BY
FR1 0.003 0.018 0.164 0.870
FR2 -0.039 0.025 -1.571 0.116
FR3 0.046 0.027 1.735 0.083
FR4 0.001 0.016 0.060 0.952
FR5 0.176 0.030 5.788 0.000
G1 0.729 0.029 24.894 0.000
G2 0.536 0.038 13.976 0.000
G3 0.850 0.028 29.981 0.000
G4 0.854 0.024 36.288 0.000
G5 0.686 0.027 25.579 0.000
M1 -0.099 0.029 -3.406 0.001
M2 0.159 0.032 4.895 0.000
M3 0.100 0.034 2.917 0.004
M4 0.108 0.035 3.129 0.002
M5 -0.003 0.006 -0.409 0.683
MATH BY
FR1 -0.010 0.014 -0.682 0.495
FR2 0.078 0.020 3.972 0.000
FR3 0.026 0.017 1.556 0.120
FR4 0.001 0.011 0.085 0.932
FR5 -0.076 0.022 -3.444 0.001
G1 0.026 0.022 1.171 0.242
G2 0.111 0.032 3.452 0.001
G3 -0.066 0.030 -2.179 0.029
G4 -0.002 0.015 -0.132 0.895
G5 0.156 0.031 5.050 0.000
M1 0.957 0.016 58.672 0.000
M2 0.774 0.020 39.146 0.000
M3 0.777 0.021 37.765 0.000
M4 0.771 0.021 37.203 0.000
M5 0.942 0.007 137.665 0.000
GEN WITH
FR 0.615 0.027 22.951 0.000
MATH WITH
FR 0.181 0.034 5.399 0.000
GEN 0.519 0.032 16.266 0.000
Intercepts
FR1 2.172 0.053 40.918 0.000
FR2 1.732 0.046 37.821 0.000
FR3 1.893 0.048 39.112 0.000
FR4 1.827 0.047 38.614 0.000
FR5 1.955 0.049 39.559 0.000
G1 2.447 0.058 42.274 0.000
G2 1.978 0.050 39.718 0.000
G3 2.612 0.061 42.937 0.000
G4 2.473 0.058 42.387 0.000
G5 2.136 0.052 40.712 0.000
M1 2.008 0.050 39.919 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 40.807 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 0.243 0.014 17.255 0.000
FR2 0.243 0.014 17.168 0.000
FR3 0.178 0.011 15.891 0.000
FR4 0.133 0.010 13.629 0.000
FR5 0.305 0.016 19.065 0.000
G1 0.357 0.020 18.087 0.000
G2 0.591 0.024 25.026 0.000
G3 0.364 0.022 16.854 0.000
G4 0.254 0.018 14.188 0.000
G5 0.390 0.020 19.216 0.000
M1 0.168 0.011 14.685 0.000
M2 0.253 0.014 17.971 0.000
M3 0.311 0.016 19.130 0.000
M4 0.310 0.016 19.139 0.000
M5 0.113 0.009 12.582 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 0.870 0.013 66.013 0.000
FR2 0.877 0.017 50.780 0.000
FR3 0.872 0.017 51.611 0.000
FR4 0.930 0.011 84.073 0.000
FR5 0.731 0.022 33.244 0.000
G1 0.091 0.033 2.718 0.007
G2 0.062 0.036 1.729 0.084
G3 -0.033 0.032 -1.024 0.306
G4 0.017 0.029 0.590 0.555
G5 0.005 0.012 0.397 0.691
M1 0.018 0.017 1.088 0.276
M2 -0.009 0.017 -0.497 0.619
M3 -0.011 0.021 -0.557 0.578
M4 -0.006 0.020 -0.313 0.754
M5 0.007 0.017 0.396 0.692
GEN BY
FR1 0.003 0.018 0.164 0.870
FR2 -0.039 0.025 -1.571 0.116
FR3 0.046 0.027 1.735 0.083
FR4 0.001 0.016 0.060 0.952
FR5 0.176 0.030 5.788 0.000
G1 0.729 0.029 24.894 0.000
G2 0.536 0.038 13.976 0.000
G3 0.850 0.028 29.981 0.000
G4 0.854 0.024 36.288 0.000
G5 0.686 0.027 25.579 0.000
M1 -0.099 0.029 -3.406 0.001
M2 0.159 0.032 4.895 0.000
M3 0.100 0.034 2.917 0.004
M4 0.108 0.035 3.129 0.002
M5 -0.003 0.006 -0.409 0.683
MATH BY
FR1 -0.010 0.014 -0.682 0.495
FR2 0.078 0.020 3.972 0.000
FR3 0.026 0.017 1.556 0.120
FR4 0.001 0.011 0.085 0.932
FR5 -0.076 0.022 -3.444 0.001
G1 0.026 0.022 1.171 0.242
G2 0.111 0.032 3.452 0.001
G3 -0.066 0.030 -2.179 0.029
G4 -0.002 0.015 -0.132 0.895
G5 0.156 0.031 5.050 0.000
M1 0.957 0.016 58.672 0.000
M2 0.774 0.020 39.146 0.000
M3 0.777 0.021 37.765 0.000
M4 0.771 0.021 37.203 0.000
M5 0.942 0.007 137.665 0.000
GEN WITH
FR 0.615 0.027 22.951 0.000
MATH WITH
FR 0.181 0.034 5.399 0.000
GEN 0.519 0.032 16.266 0.000
Intercepts
FR1 2.172 0.053 40.918 0.000
FR2 1.732 0.046 37.821 0.000
FR3 1.893 0.048 39.112 0.000
FR4 1.827 0.047 38.614 0.000
FR5 1.955 0.049 39.559 0.000
G1 2.447 0.058 42.274 0.000
G2 1.978 0.050 39.718 0.000
G3 2.612 0.061 42.937 0.000
G4 2.473 0.058 42.387 0.000
G5 2.136 0.052 40.712 0.000
M1 2.008 0.050 39.919 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 40.807 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 0.243 0.014 17.255 0.000
FR2 0.243 0.014 17.168 0.000
FR3 0.178 0.011 15.891 0.000
FR4 0.133 0.010 13.629 0.000
FR5 0.305 0.016 19.065 0.000
G1 0.357 0.020 18.087 0.000
G2 0.591 0.024 25.026 0.000
G3 0.364 0.022 16.854 0.000
G4 0.254 0.018 14.188 0.000
G5 0.390 0.020 19.216 0.000
M1 0.168 0.011 14.685 0.000
M2 0.253 0.014 17.971 0.000
M3 0.311 0.016 19.130 0.000
M4 0.310 0.016 19.139 0.000
M5 0.113 0.009 12.582 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FR BY
FR1 1.480 0.043 34.270 0.000
FR2 1.489 0.047 31.549 0.000
FR3 1.504 0.046 32.591 0.000
FR4 1.697 0.044 38.587 0.000
FR5 1.379 0.055 25.248 0.000
G1 0.153 0.056 2.714 0.007
G2 0.111 0.064 1.727 0.084
G3 -0.057 0.056 -1.024 0.306
G4 0.029 0.049 0.590 0.555
G5 0.008 0.021 0.397 0.691
M1 0.037 0.034 1.088 0.276
M2 -0.016 0.032 -0.497 0.619
M3 -0.023 0.041 -0.557 0.578
M4 -0.012 0.038 -0.313 0.754
M5 0.014 0.035 0.396 0.692
GEN BY
FR1 0.005 0.030 0.164 0.870
FR2 -0.066 0.042 -1.571 0.116
FR3 0.079 0.046 1.735 0.083
FR4 0.002 0.029 0.060 0.952
FR5 0.331 0.058 5.751 0.000
G1 1.228 0.059 20.714 0.000
G2 0.965 0.075 12.874 0.000
G3 1.470 0.063 23.395 0.000
G4 1.436 0.054 26.830 0.000
G5 1.218 0.058 21.024 0.000
M1 -0.199 0.059 -3.406 0.001
M2 0.300 0.061 4.878 0.000
M3 0.198 0.068 2.913 0.004
M4 0.212 0.068 3.123 0.002
M5 -0.005 0.013 -0.409 0.683
MATH BY
FR1 -0.017 0.025 -0.682 0.495
FR2 0.132 0.033 3.969 0.000
FR3 0.045 0.029 1.556 0.120
FR4 0.002 0.020 0.085 0.932
FR5 -0.144 0.042 -3.443 0.001
G1 0.044 0.038 1.170 0.242
G2 0.200 0.058 3.438 0.001
G3 -0.114 0.052 -2.178 0.029
G4 -0.003 0.024 -0.132 0.895
G5 0.277 0.055 5.019 0.000
M1 1.935 0.056 34.382 0.000
M2 1.463 0.052 28.081 0.000
M3 1.540 0.057 26.962 0.000
M4 1.510 0.056 26.776 0.000
M5 1.930 0.046 42.038 0.000
GEN WITH
FR 0.615 0.027 22.951 0.000
MATH WITH
FR 0.181 0.034 5.399 0.000
GEN 0.519 0.032 16.266 0.000
Intercepts
FR1 3.695 0.049 74.991 0.000
FR2 2.939 0.049 59.803 0.000
FR3 3.265 0.050 65.339 0.000
FR4 3.333 0.053 63.095 0.000
FR5 3.687 0.055 67.489 0.000
G1 4.123 0.049 84.487 0.000
G2 3.557 0.052 68.287 0.000
G3 4.516 0.050 90.183 0.000
G4 4.160 0.049 85.397 0.000
G5 3.794 0.051 73.752 0.000
M1 4.060 0.059 69.328 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 0.702 0.035 20.021 0.000
FR2 0.699 0.035 19.881 0.000
FR3 0.531 0.028 18.633 0.000
FR4 0.443 0.029 15.517 0.000
FR5 1.085 0.050 21.837 0.000
G1 1.014 0.051 19.696 0.000
G2 1.911 0.083 22.934 0.000
G3 1.089 0.060 18.065 0.000
G4 0.719 0.046 15.537 0.000
G5 1.232 0.060 20.672 0.000
M1 0.688 0.041 16.845 0.000
M2 0.902 0.043 21.008 0.000
M3 1.223 0.056 21.831 0.000
M4 1.191 0.054 21.859 0.000
M5 0.477 0.034 14.115 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
FR1 0.757 0.014 53.868 0.000
FR2 0.757 0.014 53.517 0.000
FR3 0.822 0.011 73.254 0.000
FR4 0.867 0.010 88.639 0.000
FR5 0.695 0.016 43.433 0.000
G1 0.643 0.020 32.528 0.000
G2 0.409 0.024 17.334 0.000
G3 0.636 0.022 29.433 0.000
G4 0.746 0.018 41.638 0.000
G5 0.610 0.020 30.013 0.000
M1 0.832 0.011 72.546 0.000
M2 0.747 0.014 53.201 0.000
M3 0.689 0.016 42.383 0.000
M4 0.690 0.016 42.563 0.000
M5 0.887 0.009 98.323 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.
WITH Statements
FR2 WITH FR1 27.244 0.140 0.140 0.200
FR3 WITH FR1 11.164 -0.084 -0.084 -0.138
FR5 WITH FR2 20.840 -0.139 -0.139 -0.160
FR5 WITH FR4 10.527 0.095 0.095 0.136
G1 WITH FR1 26.194 0.151 0.151 0.179
G2 WITH FR1 14.097 -0.142 -0.142 -0.123
G3 WITH G1 17.801 0.191 0.191 0.182
G5 WITH FR5 12.285 0.134 0.134 0.116
M1 WITH FR1 24.226 0.129 0.129 0.185
M1 WITH FR3 12.027 -0.082 -0.082 -0.136
M1 WITH G1 44.919 0.214 0.214 0.256
M2 WITH G2 27.866 0.222 0.222 0.169
M3 WITH G2 15.830 -0.192 -0.192 -0.125
M4 WITH FR2 10.435 -0.099 -0.099 -0.108
M4 WITH FR5 42.063 0.238 0.238 0.209
M4 WITH G1 15.989 -0.148 -0.148 -0.135
M4 WITH M1 12.938 -0.132 -0.132 -0.146
M5 WITH M1 12.624 0.150 0.150 0.262
M5 WITH M2 15.015 -0.125 -0.125 -0.190
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\script4.2_analyse_esem.dgm
Beginning Time: 16:48:59
Ending Time: 16:48:59
Elapsed Time: 00:00:00
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