Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:11 PM
INPUT INSTRUCTIONS
TITLE: this is an example of bi-factor EFA with
two items loading on only the general
factor
DATA: FILE = ex5.30.dat;
VARIABLE: NAMES = y1-y10;
ANALYSIS: ROTATION = GEOMIN;
MODEL: fg BY y1-y10*;
fg@1;
f1-f2 BY y1-y8 (*1);
fg WITH f1-f2@0;
OUTPUT: STDY;
INPUT READING TERMINATED NORMALLY
this is an example of bi-factor EFA with
two items loading on only the general
factor
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
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
FG
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)
ex5.30.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 -0.073 0.041 -2.518 0.20% -0.928 -0.356 -0.050
500.000 0.990 -0.354 2.797 0.20% 0.175 0.743
Y2 0.049 0.117 -2.908 0.20% -0.805 -0.269 0.003
500.000 1.033 -0.089 3.240 0.20% 0.295 0.885
Y3 0.012 -0.075 -2.473 0.20% -0.922 -0.230 0.034
500.000 0.967 -0.424 2.645 0.20% 0.312 0.844
Y4 -0.042 -0.033 -3.179 0.20% -0.901 -0.303 -0.041
500.000 1.059 -0.092 2.923 0.20% 0.218 0.845
Y5 0.021 -0.037 -2.795 0.20% -0.863 -0.249 0.043
500.000 1.047 -0.191 2.902 0.20% 0.298 0.919
Y6 -0.025 0.105 -2.537 0.20% -0.856 -0.270 -0.061
500.000 0.976 -0.072 2.874 0.20% 0.189 0.752
Y7 0.022 0.029 -3.404 0.20% -0.809 -0.257 -0.029
500.000 1.028 -0.049 2.933 0.20% 0.214 0.888
Y8 0.059 0.017 -3.018 0.20% -0.850 -0.193 0.066
500.000 1.142 -0.044 3.332 0.20% 0.313 0.935
Y9 -0.018 0.064 -3.308 0.20% -0.828 -0.287 -0.053
500.000 0.989 0.026 3.174 0.20% 0.169 0.820
Y10 -0.003 0.048 -2.327 0.20% -0.860 -0.310 -0.003
500.000 0.959 -0.321 3.071 0.20% 0.279 0.846
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 45
Loglikelihood
H0 Value -5741.460
H1 Value -5729.692
Information Criteria
Akaike (AIC) 11572.920
Bayesian (BIC) 11762.577
Sample-Size Adjusted BIC 11619.745
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 23.536
Degrees of Freedom 20
P-Value 0.2632
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.019
90 Percent C.I. 0.000 0.045
Probability RMSEA <= .05 0.981
CFI/TLI
CFI 0.999
TLI 0.997
Chi-Square Test of Model Fit for the Baseline Model
Value 2817.891
Degrees of Freedom 45
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.011
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FG BY
Y1 0.675 0.051 13.257 0.000
Y2 0.718 0.052 13.893 0.000
Y3 0.765 0.048 15.921 0.000
Y4 0.738 0.051 14.466 0.000
Y5 0.745 0.053 14.008 0.000
Y6 0.701 0.047 14.816 0.000
Y7 0.644 0.052 12.352 0.000
Y8 0.716 0.056 12.704 0.000
Y9 0.704 0.046 15.437 0.000
Y10 0.620 0.045 13.792 0.000
F1 BY
Y1 0.457 0.065 7.081 0.000
Y2 0.454 0.067 6.780 0.000
Y3 0.322 0.088 3.669 0.000
Y4 0.382 0.070 5.428 0.000
Y5 -0.001 0.031 -0.043 0.966
Y6 -0.049 0.062 -0.802 0.422
Y7 0.122 0.074 1.643 0.100
Y8 0.002 0.039 0.063 0.950
F2 BY
Y1 0.001 0.032 0.044 0.965
Y2 0.005 0.040 0.119 0.906
Y3 -0.109 0.062 -1.752 0.080
Y4 0.000 0.040 -0.002 0.999
Y5 0.334 0.089 3.756 0.000
Y6 0.324 0.074 4.399 0.000
Y7 0.400 0.065 6.200 0.000
Y8 0.369 0.089 4.160 0.000
FG WITH
F1 0.000 0.000 999.000 999.000
F2 0.000 0.000 999.000 999.000
F2 WITH
F1 0.170 0.244 0.698 0.485
Intercepts
Y1 -0.073 0.045 -1.640 0.101
Y2 0.049 0.045 1.072 0.284
Y3 0.012 0.044 0.263 0.792
Y4 -0.042 0.046 -0.918 0.358
Y5 0.021 0.046 0.461 0.645
Y6 -0.025 0.044 -0.573 0.566
Y7 0.022 0.045 0.490 0.624
Y8 0.059 0.048 1.228 0.219
Y9 -0.018 0.044 -0.400 0.689
Y10 -0.003 0.044 -0.059 0.953
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 0.325 0.033 10.004 0.000
Y2 0.311 0.031 9.984 0.000
Y3 0.279 0.031 8.957 0.000
Y4 0.368 0.029 12.641 0.000
Y5 0.381 0.034 11.296 0.000
Y6 0.383 0.034 11.243 0.000
Y7 0.422 0.048 8.766 0.000
Y8 0.493 0.041 11.944 0.000
Y9 0.493 0.046 10.617 0.000
Y10 0.574 0.046 12.603 0.000
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.886E-02
(ratio of smallest to largest eigenvalue)
STANDARDIZED MODEL RESULTS
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
FG BY
Y1 0.678 0.041 16.642 0.000
Y2 0.706 0.040 17.736 0.000
Y3 0.777 0.036 21.546 0.000
Y4 0.717 0.038 18.874 0.000
Y5 0.728 0.041 17.800 0.000
Y6 0.709 0.036 19.758 0.000
Y7 0.635 0.042 15.144 0.000
Y8 0.670 0.043 15.632 0.000
Y9 0.708 0.033 21.325 0.000
Y10 0.634 0.035 18.078 0.000
F1 BY
Y1 0.459 0.064 7.215 0.000
Y2 0.447 0.065 6.876 0.000
Y3 0.327 0.089 3.677 0.000
Y4 0.371 0.068 5.482 0.000
Y5 -0.001 0.030 -0.043 0.966
Y6 -0.050 0.062 -0.802 0.422
Y7 0.121 0.073 1.644 0.100
Y8 0.002 0.036 0.063 0.950
F2 BY
Y1 0.001 0.032 0.044 0.965
Y2 0.005 0.039 0.119 0.906
Y3 -0.110 0.063 -1.753 0.080
Y4 0.000 0.039 -0.002 0.999
Y5 0.326 0.086 3.774 0.000
Y6 0.328 0.074 4.432 0.000
Y7 0.394 0.062 6.322 0.000
Y8 0.346 0.082 4.195 0.000
FG WITH
F1 0.000 0.000 999.000 999.000
F2 0.000 0.000 999.000 999.000
F2 WITH
F1 0.170 0.244 0.698 0.485
Intercepts
Y1 -0.073 0.045 -1.638 0.101
Y2 0.048 0.045 1.071 0.284
Y3 0.012 0.045 0.263 0.792
Y4 -0.041 0.045 -0.918 0.359
Y5 0.021 0.045 0.461 0.645
Y6 -0.026 0.045 -0.573 0.566
Y7 0.022 0.045 0.490 0.624
Y8 0.055 0.045 1.227 0.220
Y9 -0.018 0.045 -0.400 0.689
Y10 -0.003 0.045 -0.059 0.953
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 0.329 0.035 9.381 0.000
Y2 0.301 0.032 9.274 0.000
Y3 0.289 0.034 8.405 0.000
Y4 0.348 0.030 11.567 0.000
Y5 0.364 0.034 10.585 0.000
Y6 0.393 0.037 10.678 0.000
Y7 0.411 0.048 8.535 0.000
Y8 0.432 0.038 11.505 0.000
Y9 0.499 0.047 10.612 0.000
Y10 0.599 0.044 13.475 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
Y1 0.671 0.035 19.165 0.000
Y2 0.699 0.032 21.564 0.000
Y3 0.711 0.034 20.715 0.000
Y4 0.652 0.030 21.671 0.000
Y5 0.636 0.034 18.505 0.000
Y6 0.607 0.037 16.520 0.000
Y7 0.589 0.048 12.250 0.000
Y8 0.568 0.038 15.137 0.000
Y9 0.501 0.047 10.663 0.000
Y10 0.401 0.044 9.039 0.000
Beginning Time: 23:11:24
Ending Time: 23:11:24
Elapsed Time: 00:00:00
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