Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 11:09 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: 23:09:15
Ending Time: 23:09:16
Elapsed Time: 00:00:01
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