Mplus VERSION 8.6
MUTHEN & MUTHEN
07/20/2021 4:49 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 M1-M5;
ANALYSIS: ESTIMATOR=ML; MODEL=NOCOVARIANCES;
MODEL: GENERAL BY fr1-fr5 M1-M5;
FR by fr1-fr5;
MATH by M1-M5;
OUTPUT: STANDARDIZED;
INPUT READING TERMINATED NORMALLY
Analyse EMIA
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 1192
Number of dependent variables 10
Number of independent variables 0
Number of continuous latent variables 3
Observed dependent variables
Continuous
FR1 FR2 FR3 FR4 FR5 M1
M2 M3 M4 M5
Continuous latent variables
GENERAL FR 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
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 40
Loglikelihood
H0 Value -18826.091
H1 Value -18756.000
Information Criteria
Akaike (AIC) 37732.182
Bayesian (BIC) 37935.518
Sample-Size Adjusted BIC 37808.463
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 140.182
Degrees of Freedom 25
P-Value 0.0000
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.062
90 Percent C.I. 0.052 0.072
Probability RMSEA <= .05 0.021
CFI/TLI
CFI 0.990
TLI 0.981
Chi-Square Test of Model Fit for the Baseline Model
Value 11230.735
Degrees of Freedom 45
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.027
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
GENERAL BY
FR1 1.000 0.000 999.000 999.000
FR2 1.357 0.176 7.712 0.000
FR3 1.687 0.201 8.379 0.000
FR4 1.480 0.161 9.173 0.000
FR5 1.706 0.236 7.215 0.000
M1 1.730 0.948 1.825 0.068
M2 3.030 1.251 2.421 0.015
M3 3.204 1.285 2.494 0.013
M4 3.428 1.268 2.704 0.007
M5 3.124 1.499 2.084 0.037
FR BY
FR1 1.000 0.000 999.000 999.000
FR2 0.963 0.025 38.032 0.000
FR3 1.004 0.030 33.108 0.000
FR4 1.119 0.028 39.477 0.000
FR5 0.998 0.039 25.466 0.000
MATH BY
M1 1.000 0.000 999.000 999.000
M2 0.656 0.113 5.784 0.000
M3 0.651 0.119 5.485 0.000
M4 0.613 0.121 5.085 0.000
M5 0.829 0.135 6.145 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
M1 4.060 0.059 69.329 0.000
M2 3.657 0.055 66.809 0.000
M3 3.988 0.057 69.439 0.000
M4 4.218 0.057 74.319 0.000
M5 3.648 0.059 61.457 0.000
Variances
GENERAL 0.126 0.061 2.047 0.041
FR 2.083 0.121 17.207 0.000
MATH 3.487 0.285 12.216 0.000
Residual Variances
FR1 0.684 0.036 18.759 0.000
FR2 0.717 0.035 20.426 0.000
FR3 0.520 0.029 18.175 0.000
FR4 0.442 0.028 15.666 0.000
FR5 1.117 0.053 21.047 0.000
M1 0.225 0.319 0.706 0.480
M2 0.918 0.048 19.084 0.000
M3 1.163 0.060 19.432 0.000
M4 1.051 0.062 16.967 0.000
M5 0.578 0.051 11.328 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.159E-04
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
GENERAL BY
FR1 0.208 0.050 4.136 0.000
FR2 0.284 0.046 6.147 0.000
FR3 0.347 0.064 5.455 0.000
FR4 0.288 0.061 4.727 0.000
FR5 0.321 0.075 4.299 0.000
M1 0.303 0.121 2.501 0.012
M2 0.568 0.127 4.467 0.000
M3 0.573 0.120 4.787 0.000
M4 0.620 0.108 5.750 0.000
M5 0.541 0.159 3.405 0.001
FR BY
FR1 0.849 0.014 61.681 0.000
FR2 0.819 0.017 47.411 0.000
FR3 0.840 0.026 32.437 0.000
FR4 0.886 0.021 42.997 0.000
FR5 0.764 0.030 25.234 0.000
MATH BY
M1 0.923 0.033 27.876 0.000
M2 0.648 0.110 5.890 0.000
M3 0.613 0.110 5.576 0.000
M4 0.584 0.114 5.132 0.000
M5 0.755 0.119 6.361 0.000
Intercepts
FR1 2.172 0.053 40.918 0.000
FR2 1.732 0.046 37.822 0.000
FR3 1.893 0.048 39.113 0.000
FR4 1.827 0.047 38.615 0.000
FR5 1.955 0.049 39.559 0.000
M1 2.008 0.050 39.920 0.000
M2 1.935 0.049 39.421 0.000
M3 2.011 0.050 39.941 0.000
M4 2.153 0.053 40.807 0.000
M5 1.780 0.047 38.230 0.000
Variances
GENERAL 1.000 0.000 999.000 999.000
FR 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
FR1 0.237 0.014 16.383 0.000
FR2 0.249 0.014 17.571 0.000
FR3 0.175 0.011 15.581 0.000
FR4 0.133 0.010 13.728 0.000
FR5 0.314 0.017 18.629 0.000
M1 0.055 0.078 0.706 0.480
M2 0.257 0.015 16.757 0.000
M3 0.296 0.017 17.319 0.000
M4 0.274 0.018 15.370 0.000
M5 0.137 0.013 10.535 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
GENERAL BY
FR1 0.208 0.050 4.136 0.000
FR2 0.284 0.046 6.147 0.000
FR3 0.347 0.064 5.455 0.000
FR4 0.288 0.061 4.727 0.000
FR5 0.321 0.075 4.299 0.000
M1 0.303 0.121 2.501 0.012
M2 0.568 0.127 4.467 0.000
M3 0.573 0.120 4.787 0.000
M4 0.620 0.108 5.750 0.000
M5 0.541 0.159 3.405 0.001
FR BY
FR1 0.849 0.014 61.681 0.000
FR2 0.819 0.017 47.411 0.000
FR3 0.840 0.026 32.437 0.000
FR4 0.886 0.021 42.997 0.000
FR5 0.764 0.030 25.234 0.000
MATH BY
M1 0.923 0.033 27.876 0.000
M2 0.648 0.110 5.890 0.000
M3 0.613 0.110 5.576 0.000
M4 0.584 0.114 5.132 0.000
M5 0.755 0.119 6.361 0.000
Intercepts
FR1 2.172 0.053 40.918 0.000
FR2 1.732 0.046 37.822 0.000
FR3 1.893 0.048 39.113 0.000
FR4 1.827 0.047 38.615 0.000
FR5 1.955 0.049 39.559 0.000
M1 2.008 0.050 39.920 0.000
M2 1.935 0.049 39.421 0.000
M3 2.011 0.050 39.941 0.000
M4 2.153 0.053 40.807 0.000
M5 1.780 0.047 38.230 0.000
Variances
GENERAL 1.000 0.000 999.000 999.000
FR 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
FR1 0.237 0.014 16.383 0.000
FR2 0.249 0.014 17.571 0.000
FR3 0.175 0.011 15.581 0.000
FR4 0.133 0.010 13.728 0.000
FR5 0.314 0.017 18.629 0.000
M1 0.055 0.078 0.706 0.480
M2 0.257 0.015 16.757 0.000
M3 0.296 0.017 17.319 0.000
M4 0.274 0.018 15.370 0.000
M5 0.137 0.013 10.535 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
GENERAL BY
FR1 0.355 0.087 4.093 0.000
FR2 0.481 0.080 6.013 0.000
FR3 0.598 0.112 5.363 0.000
FR4 0.525 0.112 4.666 0.000
FR5 0.605 0.142 4.253 0.000
M1 0.613 0.246 2.492 0.013
M2 1.074 0.243 4.424 0.000
M3 1.136 0.240 4.734 0.000
M4 1.216 0.215 5.663 0.000
M5 1.108 0.327 3.385 0.001
FR BY
FR1 1.443 0.042 34.414 0.000
FR2 1.389 0.044 31.531 0.000
FR3 1.449 0.055 26.577 0.000
FR4 1.615 0.051 31.582 0.000
FR5 1.440 0.067 21.481 0.000
MATH BY
M1 1.867 0.076 24.431 0.000
M2 1.225 0.209 5.854 0.000
M3 1.216 0.219 5.543 0.000
M4 1.145 0.224 5.111 0.000
M5 1.548 0.245 6.324 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
M1 4.060 0.059 69.329 0.000
M2 3.657 0.055 66.809 0.000
M3 3.988 0.057 69.439 0.000
M4 4.218 0.057 74.319 0.000
M5 3.648 0.059 61.457 0.000
Variances
GENERAL 1.000 0.000 999.000 999.000
FR 1.000 0.000 999.000 999.000
MATH 1.000 0.000 999.000 999.000
Residual Variances
FR1 0.684 0.036 18.759 0.000
FR2 0.717 0.035 20.426 0.000
FR3 0.520 0.029 18.175 0.000
FR4 0.442 0.028 15.666 0.000
FR5 1.117 0.053 21.047 0.000
M1 0.225 0.319 0.706 0.480
M2 0.918 0.048 19.084 0.000
M3 1.163 0.060 19.432 0.000
M4 1.051 0.062 16.967 0.000
M5 0.578 0.051 11.328 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
FR1 0.763 0.014 52.879 0.000
FR2 0.751 0.014 53.002 0.000
FR3 0.825 0.011 73.653 0.000
FR4 0.867 0.010 89.516 0.000
FR5 0.686 0.017 40.705 0.000
M1 0.945 0.078 12.097 0.000
M2 0.743 0.015 48.456 0.000
M3 0.704 0.017 41.258 0.000
M4 0.726 0.018 40.788 0.000
M5 0.863 0.013 66.094 0.000
DIAGRAM INFORMATION
Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
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Diagram output
c:\project\mpluslivre\stx\chapitres\chapitre_04\script4.3_analyse_bifactorielle.dgm
Beginning Time: 16:49:43
Ending Time: 16:49:43
Elapsed Time: 00:00:00
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