Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a SEM with
EFA and CFA factors with continuous factor indicators
DATA: FILE IS ex5.25.dat;
VARIABLE: NAMES ARE y1-y12;
MODEL: f1-f2 BY y1-y6 (*1);
f3 BY y7-y9;
f4 BY y10-y12;
f3 ON f1-f2;
f4 ON f3;
INPUT READING TERMINATED NORMALLY
this is an example of a SEM with
EFA and CFA factors 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
F3 F4
EFA factors
*1: F1 F2
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)
ex5.25.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 0.008 -0.037 -2.898 0.20% -0.835 -0.247 0.013
500.000 0.966 -0.259 2.539 0.20% 0.231 0.877
Y2 0.031 -0.025 -3.348 0.20% -0.802 -0.271 0.045
500.000 1.025 -0.038 2.702 0.20% 0.321 0.856
Y3 0.006 0.183 -2.417 0.20% -0.890 -0.313 -0.034
500.000 0.943 -0.426 2.832 0.20% 0.286 0.869
Y4 0.075 -0.062 -2.912 0.20% -0.725 -0.174 0.060
500.000 1.018 0.009 3.185 0.20% 0.336 0.955
Y5 0.070 -0.101 -3.361 0.20% -0.784 -0.126 0.108
500.000 0.965 0.421 4.072 0.20% 0.327 0.887
Y6 0.070 0.226 -2.290 0.20% -0.780 -0.226 -0.001
500.000 1.038 -0.200 2.974 0.20% 0.233 0.915
Y7 0.059 -0.053 -3.971 0.20% -1.088 -0.266 0.066
500.000 1.814 -0.199 3.758 0.20% 0.424 1.156
Y8 0.061 -0.012 -3.420 0.20% -1.035 -0.276 0.104
500.000 1.495 -0.303 3.189 0.20% 0.376 1.096
Y9 0.069 -0.012 -3.489 0.20% -1.018 -0.225 0.056
500.000 1.508 -0.321 3.119 0.20% 0.395 1.215
Y10 0.009 0.044 -3.111 0.20% -1.033 -0.263 0.093
500.000 1.291 -0.309 3.078 0.20% 0.337 0.931
Y11 0.024 -0.006 -2.187 0.20% -0.752 -0.183 0.025
500.000 0.749 -0.306 2.757 0.20% 0.258 0.799
Y12 0.021 0.090 -2.293 0.20% -0.710 -0.204 0.033
500.000 0.705 -0.202 2.601 0.20% 0.226 0.765
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 44
Loglikelihood
H0 Value -6482.762
H1 Value -6457.085
Information Criteria
Akaike (AIC) 13053.524
Bayesian (BIC) 13238.966
Sample-Size Adjusted BIC 13099.308
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 51.353
Degrees of Freedom 46
P-Value 0.2720
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.015
90 Percent C.I. 0.000 0.034
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 0.999
TLI 0.998
Chi-Square Test of Model Fit for the Baseline Model
Value 4600.240
Degrees of Freedom 66
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.018
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
F1 BY
Y1 0.751 0.048 15.609 0.000
Y2 0.858 0.042 20.467 0.000
Y3 0.736 0.045 16.353 0.000
Y4 0.036 0.051 0.711 0.477
Y5 -0.028 0.049 -0.568 0.570
Y6 0.002 0.004 0.627 0.531
F2 BY
Y1 0.034 0.045 0.755 0.450
Y2 -0.002 0.016 -0.150 0.881
Y3 -0.008 0.035 -0.220 0.826
Y4 0.763 0.050 15.367 0.000
Y5 0.810 0.048 16.837 0.000
Y6 0.802 0.041 19.461 0.000
F3 BY
Y7 1.000 0.000 999.000 999.000
Y8 0.894 0.021 41.936 0.000
Y9 0.902 0.021 42.479 0.000
F4 BY
Y10 1.000 0.000 999.000 999.000
Y11 0.734 0.028 26.424 0.000
Y12 0.684 0.028 24.405 0.000
F3 ON
F1 0.493 0.058 8.462 0.000
F2 0.721 0.057 12.752 0.000
F4 ON
F3 0.546 0.032 16.975 0.000
F2 WITH
F1 0.479 0.053 9.094 0.000
Intercepts
Y1 0.008 0.044 0.183 0.855
Y2 0.031 0.045 0.688 0.491
Y3 0.006 0.043 0.146 0.884
Y4 0.075 0.045 1.659 0.097
Y5 0.070 0.044 1.592 0.111
Y6 0.070 0.046 1.530 0.126
Y7 0.059 0.060 0.983 0.326
Y8 0.061 0.055 1.115 0.265
Y9 0.069 0.055 1.253 0.210
Y10 0.009 0.051 0.170 0.865
Y11 0.024 0.039 0.616 0.538
Y12 0.021 0.038 0.554 0.580
Variances
F1 1.000 0.000 999.000 999.000
F2 1.000 0.000 999.000 999.000
Residual Variances
Y1 0.376 0.034 11.064 0.000
Y2 0.290 0.035 8.239 0.000
Y3 0.406 0.034 11.817 0.000
Y4 0.408 0.035 11.742 0.000
Y5 0.329 0.033 10.046 0.000
Y6 0.393 0.035 11.073 0.000
Y7 0.183 0.019 9.796 0.000
Y8 0.191 0.017 11.269 0.000
Y9 0.181 0.017 10.812 0.000
Y10 0.240 0.027 8.746 0.000
Y11 0.183 0.017 10.791 0.000
Y12 0.213 0.018 11.998 0.000
F3 0.527 0.049 10.644 0.000
F4 0.565 0.049 11.488 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.111E-01
(ratio of smallest to largest eigenvalue)
Beginning Time: 23:11:19
Ending Time: 23:11:20
Elapsed Time: 00:00:01
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