Mplus VERSION 8.7 (Mac) MUTHEN & MUTHEN 10/21/2021 10:45 PM INPUT INSTRUCTIONS TITLE: this is an example of a path analysis with continuous dependent variables, bootstrapped standard errors, indirect effects, and non-symmetric bootstrap confidence intervals DATA: FILE IS ex3.11.dat; VARIABLE: NAMES ARE y1-y3 x1-x3; ANALYSIS: BOOTSTRAP = 1000; MODEL: y1 y2 ON x1 x2 x3; y3 ON y1 y2 x2; MODEL INDIRECT: y3 IND y1 x1; y3 IND y2 x1; OUTPUT: CINTERVAL (BOOTSTRAP); INPUT READING TERMINATED NORMALLY this is an example of a path analysis with continuous dependent variables, bootstrapped standard errors, indirect effects, and non-symmetric bootstrap confidence intervals SUMMARY OF ANALYSIS Number of groups 1 Number of observations 500 Number of dependent variables 3 Number of independent variables 3 Number of continuous latent variables 0 Observed dependent variables Continuous Y1 Y2 Y3 Observed independent variables X1 X2 X3 Estimator ML Information matrix OBSERVED Maximum number of iterations 1000 Convergence criterion 0.500D-04 Maximum number of steepest descent iterations 20 Number of bootstrap draws Requested 1000 Completed 1000 Input data file(s) ex3.11.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 -1.108 0.018 -13.766 0.20% -4.787 -2.157 -1.159 500.000 17.433 -0.193 9.631 0.20% -0.237 2.613 Y2 0.027 0.121 -11.928 0.20% -3.564 -0.944 -0.067 500.000 17.103 0.033 14.188 0.20% 1.021 3.350 Y3 0.499 -0.009 -15.069 0.20% -4.398 -1.203 0.419 500.000 31.757 -0.383 16.217 0.20% 1.996 5.386 X1 0.046 0.006 -3.268 0.20% -0.875 -0.207 0.030 500.000 1.143 0.311 3.468 0.20% 0.358 0.873 X2 -0.027 -0.152 -2.818 0.20% -0.986 -0.221 0.093 500.000 1.066 -0.277 2.993 0.20% 0.341 0.820 X3 -0.012 0.034 -3.229 0.20% -0.798 -0.270 -0.038 500.000 1.074 0.285 3.252 0.20% 0.219 0.851 THE MODEL ESTIMATION TERMINATED NORMALLY MODEL FIT INFORMATION Number of Free Parameters 15 Loglikelihood H0 Value -2364.002 H1 Value -2363.623 Information Criteria Akaike (AIC) 4758.004 Bayesian (BIC) 4821.223 Sample-Size Adjusted BIC 4773.612 (n* = (n + 2) / 24) Chi-Square Test of Model Fit Value 0.757 Degrees of Freedom 3 P-Value 0.8598 RMSEA (Root Mean Square Error Of Approximation) Estimate 0.000 90 Percent C.I. 0.000 0.040 Probability RMSEA <= .05 0.972 CFI/TLI CFI 1.000 TLI 1.000 Chi-Square Test of Model Fit for the Baseline Model Value 4107.449 Degrees of Freedom 12 P-Value 0.0000 SRMR (Standardized Root Mean Square Residual) Value 0.001 MODEL RESULTS Two-Tailed Estimate S.E. Est./S.E. P-Value Y1 ON X1 0.992 0.044 22.604 0.000 X2 2.001 0.044 45.674 0.000 X3 3.052 0.039 77.579 0.000 Y2 ON X1 2.935 0.049 59.386 0.000 X2 1.992 0.051 38.834 0.000 X3 1.023 0.049 20.699 0.000 Y3 ON Y1 0.507 0.020 25.724 0.000 Y2 0.746 0.019 39.779 0.000 X2 1.046 0.076 13.737 0.000 Intercepts Y1 -1.064 0.046 -23.272 0.000 Y2 -0.042 0.052 -0.798 0.425 Y3 1.068 0.063 16.995 0.000 Residual Variances Y1 1.061 0.068 15.537 0.000 Y2 1.408 0.082 17.258 0.000 Y3 1.717 0.114 15.039 0.000 TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS Two-Tailed Estimate S.E. Est./S.E. P-Value Effects from X1 to Y3 Sum of indirect 2.691 0.063 42.390 0.000 Specific indirect 1 Y3 Y1 X1 0.503 0.030 17.000 0.000 Specific indirect 2 Y3 Y2 X1 2.188 0.065 33.852 0.000 CONFIDENCE INTERVALS OF MODEL RESULTS Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5% Y1 ON X1 0.892 0.907 0.915 0.992 1.063 1.075 1.102 X2 1.892 1.918 1.932 2.001 2.077 2.091 2.122 X3 2.949 2.976 2.990 3.052 3.118 3.133 3.160 Y2 ON X1 2.798 2.834 2.851 2.935 3.013 3.029 3.053 X2 1.836 1.889 1.908 1.992 2.070 2.095 2.126 X3 0.889 0.926 0.943 1.023 1.105 1.123 1.156 Y3 ON Y1 0.455 0.468 0.473 0.507 0.539 0.544 0.554 Y2 0.696 0.708 0.713 0.746 0.773 0.780 0.794 X2 0.862 0.906 0.923 1.046 1.172 1.204 1.245 Intercepts Y1 -1.179 -1.150 -1.137 -1.064 -0.988 -0.969 -0.933 Y2 -0.170 -0.139 -0.124 -0.042 0.043 0.060 0.097 Y3 0.892 0.956 0.971 1.068 1.174 1.201 1.237 Residual Variances Y1 0.884 0.924 0.943 1.061 1.168 1.186 1.239 Y2 1.188 1.237 1.262 1.408 1.531 1.555 1.595 Y3 1.421 1.478 1.511 1.717 1.892 1.940 1.983 CONFIDENCE INTERVALS OF TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5% Effects from X1 to Y3 Sum of indirect 2.524 2.567 2.587 2.691 2.795 2.813 2.838 Specific indirect 1 Y3 Y1 X1 0.430 0.445 0.452 0.503 0.550 0.558 0.579 Specific indirect 2 Y3 Y2 X1 2.024 2.054 2.075 2.188 2.287 2.310 2.360 Beginning Time: 22:45:54 Ending Time: 22:45:54 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