Mplus VERSION 8.7 (Mac) MUTHEN & MUTHEN 10/21/2021 10:47 PM INPUT INSTRUCTIONS TITLE: this is an example of a SEM with continuous factor indicators and an indirect effect for factors DATA: FILE IS ex5.12.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; MODEL INDIRECT: f4 IND f3 f1; INPUT READING TERMINATED NORMALLY this is an example of a SEM with continuous factor indicators and an indirect effect for factors 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) ex5.12.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) TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS Two-Tailed Estimate S.E. Est./S.E. P-Value Effects from F1 to F4 Indirect 0.266 0.043 6.144 0.000 Beginning Time: 22:47:47 Ending Time: 22:47:47 Elapsed Time: 00:00:00 MUTHEN & MUTHEN 3463 Stoner Ave. Los Angeles, CA 90066 Tel: (310) 391-9971 Fax: (310) 391-8971 Web: www.StatModel.com Support: Support@StatModel.com Copyright (c) 1998-2021 Muthen & Muthen