Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of a bi-factor EFA
DATA: FILE = ex5.29.dat;
VARIABLE: NAMES = y1-y10;
ANALYSIS: ROTATION = BI-GEOMIN;
MODEL: fg f1 f2 BY y1-y10 (*1);
OUTPUT: STDY;
INPUT READING TERMINATED NORMALLY
this is an example of a bi-factor EFA
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 5000
Number of dependent variables 10
Number of independent variables 0
Number of continuous latent variables 3
Observed dependent variables
Continuous
Y1 Y2 Y3 Y4 Y5 Y6
Y7 Y8 Y9 Y10
Continuous latent variables
EFA factors
*1: FG F1 F2
Estimator ML
Rotation BI-GEOMIN
Row standardization CORRELATION
Type of rotation OBLIQUE
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)
ex5.29.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 -0.069 -0.021 -8.072 0.02% -1.718 -0.593 -0.064
5000.000 3.951 -0.050 6.765 0.02% 0.462 1.615
Y2 -0.033 -0.006 -6.509 0.02% -1.453 -0.460 -0.037
5000.000 2.984 0.094 5.992 0.02% 0.387 1.390
Y3 -0.055 0.025 -6.330 0.02% -1.584 -0.497 -0.048
5000.000 3.306 -0.003 7.279 0.02% 0.380 1.484
Y4 -0.058 0.027 -9.738 0.02% -2.313 -0.792 -0.069
5000.000 7.133 -0.044 10.394 0.02% 0.631 2.219
Y5 -0.040 -0.037 -7.276 0.02% -1.509 -0.483 -0.022
5000.000 3.001 -0.047 5.370 0.02% 0.382 1.433
Y6 -0.018 -0.040 -6.045 0.02% -1.526 -0.459 -0.024
5000.000 3.279 -0.094 5.984 0.02% 0.438 1.524
Y7 -0.005 0.053 -6.998 0.02% -1.642 -0.510 -0.054
5000.000 3.754 -0.061 8.425 0.02% 0.435 1.667
Y8 0.004 -0.043 -7.447 0.02% -1.703 -0.485 0.013
5000.000 4.190 0.108 7.341 0.02% 0.528 1.702
Y9 0.015 0.006 -7.174 0.02% -1.687 -0.505 0.007
5000.000 4.002 -0.018 6.831 0.02% 0.536 1.702
Y10 0.016 -0.018 -7.589 0.02% -1.796 -0.510 0.035
5000.000 4.599 -0.098 8.354 0.02% 0.581 1.825
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 47
Loglikelihood
H0 Value -100433.997
H1 Value -100421.815
Information Criteria
Akaike (AIC) 200961.994
Bayesian (BIC) 201268.302
Sample-Size Adjusted BIC 201118.952
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 24.364
Degrees of Freedom 18
P-Value 0.1435
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.008
90 Percent C.I. 0.000 0.016
Probability RMSEA <= .05 1.000
CFI/TLI
CFI 0.999
TLI 0.998
Chi-Square Test of Model Fit for the Baseline Model
Value 8960.687
Degrees of Freedom 45
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.006
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FG BY
Y1 0.931 0.311 2.993 0.003
Y2 0.771 0.094 8.227 0.000
Y3 0.837 0.207 4.036 0.000
Y4 1.037 0.808 1.284 0.199
Y5 0.664 0.093 7.100 0.000
Y6 0.550 0.063 8.728 0.000
Y7 0.577 0.079 7.329 0.000
Y8 0.651 0.075 8.726 0.000
Y9 0.601 0.106 5.673 0.000
Y10 0.589 0.083 7.089 0.000
F1 BY
Y1 0.726 0.430 1.690 0.091
Y2 0.215 0.296 0.724 0.469
Y3 0.472 0.358 1.319 0.187
Y4 2.252 0.302 7.449 0.000
Y5 -0.073 0.146 -0.497 0.619
Y6 -0.005 0.037 -0.136 0.892
Y7 0.019 0.027 0.732 0.464
Y8 0.009 0.024 0.374 0.708
Y9 -0.063 0.037 -1.696 0.090
Y10 0.030 0.038 0.784 0.433
F2 BY
Y1 -0.045 0.037 -1.214 0.225
Y2 0.008 0.044 0.172 0.864
Y3 -0.010 0.024 -0.420 0.675
Y4 0.011 0.009 1.155 0.248
Y5 0.376 0.072 5.221 0.000
Y6 0.781 0.047 16.711 0.000
Y7 0.984 0.054 18.116 0.000
Y8 1.177 0.049 24.086 0.000
Y9 1.120 0.058 19.253 0.000
Y10 1.308 0.048 27.085 0.000
F1 WITH
FG 0.000 0.000 -7.217 0.000
F2 WITH
FG 0.000 0.000 -7.931 0.000
F1 -0.029 0.182 -0.161 0.872
Intercepts
Y1 -0.069 0.028 -2.463 0.014
Y2 -0.033 0.024 -1.341 0.180
Y3 -0.055 0.026 -2.126 0.034
Y4 -0.058 0.038 -1.548 0.122
Y5 -0.040 0.024 -1.634 0.102
Y6 -0.018 0.026 -0.690 0.490
Y7 -0.005 0.027 -0.170 0.865
Y8 0.004 0.029 0.130 0.897
Y9 0.015 0.028 0.542 0.588
Y10 0.016 0.030 0.544 0.586
Variances
FG 1.000 0.000 999.000 999.000
F1 1.000 0.000 999.000 999.000
F2 1.000 0.000 999.000 999.000
Residual Variances
Y1 2.553 0.090 28.506 0.000
Y2 2.343 0.071 33.196 0.000
Y3 2.383 0.067 35.645 0.000
Y4 0.986 1.289 0.765 0.444
Y5 2.412 0.073 33.266 0.000
Y6 2.366 0.053 44.330 0.000
Y7 2.453 0.059 41.808 0.000
Y8 2.382 0.063 37.813 0.000
Y9 2.378 0.061 39.089 0.000
Y10 2.542 0.073 34.856 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.124E-03
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FG BY
Y1 0.468 0.156 2.997 0.003
Y2 0.446 0.054 8.304 0.000
Y3 0.460 0.114 4.046 0.000
Y4 0.388 0.302 1.284 0.199
Y5 0.383 0.054 7.152 0.000
Y6 0.304 0.034 8.824 0.000
Y7 0.298 0.040 7.386 0.000
Y8 0.318 0.036 8.822 0.000
Y9 0.300 0.053 5.699 0.000
Y10 0.274 0.038 7.141 0.000
F1 BY
Y1 0.365 0.216 1.691 0.091
Y2 0.124 0.172 0.724 0.469
Y3 0.260 0.197 1.319 0.187
Y4 0.843 0.113 7.466 0.000
Y5 -0.042 0.084 -0.497 0.619
Y6 -0.003 0.021 -0.136 0.892
Y7 0.010 0.014 0.732 0.464
Y8 0.004 0.012 0.374 0.708
Y9 -0.031 0.019 -1.697 0.090
Y10 0.014 0.018 0.784 0.433
F2 BY
Y1 -0.023 0.019 -1.214 0.225
Y2 0.004 0.026 0.172 0.864
Y3 -0.006 0.013 -0.420 0.675
Y4 0.004 0.003 1.156 0.248
Y5 0.217 0.041 5.237 0.000
Y6 0.431 0.025 17.261 0.000
Y7 0.508 0.027 18.781 0.000
Y8 0.575 0.022 25.556 0.000
Y9 0.560 0.028 20.009 0.000
Y10 0.610 0.021 29.258 0.000
F1 WITH
FG 0.000 0.000 -7.217 0.000
F2 WITH
FG 0.000 0.000 -7.931 0.000
F1 -0.029 0.182 -0.161 0.872
Intercepts
Y1 -0.035 0.014 -2.462 0.014
Y2 -0.019 0.014 -1.341 0.180
Y3 -0.030 0.014 -2.125 0.034
Y4 -0.022 0.014 -1.547 0.122
Y5 -0.023 0.014 -1.633 0.102
Y6 -0.010 0.014 -0.690 0.490
Y7 -0.002 0.014 -0.170 0.865
Y8 0.002 0.014 0.130 0.897
Y9 0.008 0.014 0.542 0.588
Y10 0.008 0.014 0.544 0.586
Variances
FG 1.000 0.000 999.000 999.000
F1 1.000 0.000 999.000 999.000
F2 1.000 0.000 999.000 999.000
Residual Variances
Y1 0.646 0.022 29.962 0.000
Y2 0.785 0.020 38.370 0.000
Y3 0.721 0.018 40.477 0.000
Y4 0.138 0.181 0.765 0.444
Y5 0.804 0.021 38.907 0.000
Y6 0.722 0.013 54.911 0.000
Y7 0.654 0.014 47.178 0.000
Y8 0.569 0.014 39.388 0.000
Y9 0.594 0.014 41.556 0.000
Y10 0.553 0.015 35.786 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
Y1 0.354 0.022 16.410 0.000
Y2 0.215 0.020 10.490 0.000
Y3 0.279 0.018 15.675 0.000
Y4 0.862 0.181 4.769 0.000
Y5 0.196 0.021 9.499 0.000
Y6 0.278 0.013 21.195 0.000
Y7 0.346 0.014 25.014 0.000
Y8 0.431 0.014 29.894 0.000
Y9 0.406 0.014 28.378 0.000
Y10 0.447 0.015 28.963 0.000
Beginning Time: 23:11:23
Ending Time: 23:11:23
Elapsed Time: 00:00:00
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