Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a SEM with
continuous factor indicators
DATA: FILE IS ex5.11.dat;
VARIABLE: NAMES ARE y1-y12;
MODEL: f1 BY y1-y3;
f2 BY y4-y6;
f3 BY y7-y9;
f4 BY y10-y12;
f4 ON f3;
f3 ON f1 f2;
INPUT READING TERMINATED NORMALLY
this is an example of a SEM with
continuous factor indicators
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of dependent variables 12
Number of independent variables 0
Number of continuous latent variables 4
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5 Y6
Y7 Y8 Y9 Y10 Y11 Y12
Continuous latent variables
F1 F2 F3 F4
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)
ex5.11.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
Y1 0.011 -0.037 -4.082 0.20% -1.176 -0.348 0.019
500.000 1.917 -0.259 3.577 0.20% 0.325 1.235
Y2 0.047 -0.056 -5.193 0.20% -1.115 -0.286 0.082
500.000 2.031 0.115 3.940 0.20% 0.389 1.211
Y3 0.005 0.201 -3.649 0.20% -1.266 -0.458 -0.093
500.000 1.914 -0.415 4.187 0.20% 0.328 1.220
Y4 0.104 -0.027 -4.546 0.20% -0.969 -0.325 -0.009
500.000 2.039 0.052 4.091 0.20% 0.377 1.317
Y5 0.078 -0.070 -3.733 0.20% -0.984 -0.251 0.049
500.000 1.622 0.000 4.862 0.20% 0.401 1.209
Y6 0.074 0.238 -3.203 0.20% -1.038 -0.387 0.012
500.000 1.761 -0.158 4.273 0.20% 0.328 1.287
Y7 0.051 -0.088 -4.303 0.20% -1.217 -0.338 0.077
500.000 2.312 -0.145 4.345 0.20% 0.529 1.341
Y8 0.063 -0.078 -4.397 0.20% -1.090 -0.255 0.126
500.000 1.977 0.028 3.991 0.20% 0.474 1.167
Y9 0.078 -0.085 -4.200 0.20% -1.085 -0.267 0.066
500.000 1.954 -0.315 3.432 0.20% 0.461 1.289
Y10 -0.008 0.024 -4.172 0.20% -1.298 -0.380 0.003
500.000 2.061 -0.249 4.114 0.20% 0.440 1.117
Y11 0.039 0.029 -3.834 0.20% -1.020 -0.247 0.045
500.000 1.501 -0.134 3.799 0.20% 0.353 1.025
Y12 0.031 0.156 -3.467 0.20% -1.014 -0.316 -0.004
500.000 1.470 -0.033 3.843 0.20% 0.300 1.072
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 40
Loglikelihood
H0 Value -9646.960
H1 Value -9620.108
Information Criteria
Akaike (AIC) 19373.920
Bayesian (BIC) 19542.505
Sample-Size Adjusted BIC 19415.542
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 53.704
Degrees of Freedom 50
P-Value 0.3344
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.012
90 Percent C.I. 0.000 0.032
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 0.997
TLI 0.997
Chi-Square Test of Model Fit for the Baseline Model
Value 1524.403
Degrees of Freedom 66
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
F1 BY
Y1 1.000 0.000 999.000 999.000
Y2 1.183 0.104 11.376 0.000
Y3 0.938 0.087 10.818 0.000
F2 BY
Y4 1.000 0.000 999.000 999.000
Y5 0.870 0.085 10.202 0.000
Y6 0.891 0.092 9.735 0.000
F3 BY
Y7 1.000 0.000 999.000 999.000
Y8 0.872 0.059 14.699 0.000
Y9 0.882 0.060 14.611 0.000
F4 BY
Y10 1.000 0.000 999.000 999.000
Y11 0.826 0.094 8.812 0.000
Y12 0.682 0.089 7.696 0.000
F4 ON
F3 0.473 0.057 8.306 0.000
F3 ON
F1 0.563 0.070 8.027 0.000
F2 0.790 0.086 9.228 0.000
F2 WITH
F1 -0.030 0.055 -0.545 0.586
Intercepts
Y1 0.011 0.062 0.183 0.855
Y2 0.047 0.064 0.738 0.460
Y3 0.005 0.062 0.078 0.938
Y4 0.104 0.064 1.627 0.104
Y5 0.078 0.057 1.361 0.173
Y6 0.074 0.059 1.241 0.215
Y7 0.051 0.068 0.754 0.451
Y8 0.063 0.063 1.000 0.317
Y9 0.078 0.063 1.248 0.212
Y10 -0.008 0.064 -0.128 0.898
Y11 0.039 0.055 0.716 0.474
Y12 0.031 0.054 0.563 0.574
Variances
F1 0.884 0.122 7.234 0.000
F2 0.888 0.130 6.830 0.000
Residual Variances
Y1 1.033 0.094 11.034 0.000
Y2 0.795 0.101 7.862 0.000
Y3 1.137 0.092 12.389 0.000
Y4 1.151 0.104 11.039 0.000
Y5 0.950 0.083 11.468 0.000
Y6 1.056 0.091 11.670 0.000
Y7 0.954 0.089 10.762 0.000
Y8 0.945 0.079 11.980 0.000
Y9 0.896 0.077 11.581 0.000
Y10 1.202 0.118 10.193 0.000
Y11 0.916 0.085 10.777 0.000
Y12 1.071 0.083 12.834 0.000
F3 0.550 0.092 5.961 0.000
F4 0.555 0.102 5.422 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.448E-01
(ratio of smallest to largest eigenvalue)
Beginning Time: 23:11:08
Ending Time: 23:11:08
Elapsed Time: 00:00:00
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