Mplus VERSION 7.4
MUTHEN & MUTHEN
06/04/2016 10:42 AM
INPUT INSTRUCTIONS
title: Hayes (2013) PMI multiple mediators example, p. 131
data:
file = pmi.txt;
variable:
names = cond pmi import reaction gender age;
usev = reaction import pmi cond;
analysis:
estimator = mlr;
model:
reaction on import pmi cond;
import on cond;
pmi on cond;
import with pmi;
model indirect:
reaction ind cond;
output:
sampstat cinterval standardized;
plot:
type = plot3;
outliers = cooks loglikelihood;
INPUT READING TERMINATED NORMALLY
Hayes (2013) PMI multiple mediators example, p. 131
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 123
Number of dependent variables 3
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
REACTION IMPORT PMI
Observed independent variables
COND
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Input data file(s)
pmi.txt
Input data format FREE
SAMPLE STATISTICS
SAMPLE STATISTICS
Means
REACTION IMPORT PMI COND
________ ________ ________ ________
1 3.484 4.203 5.602 0.472
Covariances
REACTION IMPORT PMI COND
________ ________ ________ ________
REACTION 2.384
IMPORT 1.241 2.991
PMI 0.907 0.642 1.732
COND 0.124 0.156 0.119 0.249
Correlations
REACTION IMPORT PMI COND
________ ________ ________ ________
REACTION 1.000
IMPORT 0.465 1.000
PMI 0.446 0.282 1.000
COND 0.160 0.181 0.181 1.000
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
REACTION 3.484 0.212 1.000 4.88% 2.000 3.000 3.250
123.000 2.384 -0.870 7.000 1.63% 4.000 5.000
IMPORT 4.203 -0.258 1.000 8.94% 3.000 4.000 4.000
123.000 2.991 -0.856 7.000 8.13% 5.000 6.000
PMI 5.602 -1.182 1.000 0.81% 4.500 5.500 6.000
123.000 1.732 1.373 7.000 24.39% 6.000 7.000
COND 0.472 0.114 0.000 52.85% 0.000 0.000 0.000
123.000 0.249 -1.987 1.000 47.15% 1.000 1.000
THE MODEL ESTIMATION TERMINATED NORMALLY
MODEL FIT INFORMATION
Number of Free Parameters 12
Loglikelihood
H0 Value -645.659
H0 Scaling Correction Factor 0.9963
for MLR
H1 Value -645.659
H1 Scaling Correction Factor 0.9963
for MLR
Information Criteria
Akaike (AIC) 1315.317
Bayesian (BIC) 1349.063
Sample-Size Adjusted BIC 1311.120
(n* = (n + 2) / 24)
Chi-Square Test of Model Fit
Value 0.000*
Degrees of Freedom 0
P-Value 0.0000
Scaling Correction Factor 1.0000
for MLR
* The chi-square value for MLM, MLMV, MLR, ULSMV, WLSM and WLSMV cannot be used
for chi-square difference testing in the regular way. MLM, MLR and WLSM
chi-square difference testing is described on the Mplus website. MLMV, WLSMV,
and ULSMV difference testing is done using the DIFFTEST option.
RMSEA (Root Mean Square Error Of Approximation)
Estimate 0.000
90 Percent C.I. 0.000 0.000
Probability RMSEA <= .05 0.000
CFI/TLI
CFI 1.000
TLI 1.000
Chi-Square Test of Model Fit for the Baseline Model
Value 63.611
Degrees of Freedom 6
P-Value 0.0000
SRMR (Standardized Root Mean Square Residual)
Value 0.000
MODEL RESULTS
Two-Tailed
Estimate S.E. Est./S.E. P-Value
REACTION ON
IMPORT 0.324 0.072 4.498 0.000
PMI 0.397 0.075 5.265 0.000
COND 0.103 0.236 0.437 0.662
IMPORT ON
COND 0.627 0.308 2.032 0.042
PMI ON
COND 0.477 0.233 2.045 0.041
IMPORT WITH
PMI 0.568 0.221 2.566 0.010
Intercepts
REACTION -0.150 0.376 -0.399 0.690
IMPORT 3.908 0.204 19.176 0.000
PMI 5.377 0.165 32.660 0.000
Residual Variances
REACTION 1.609 0.178 9.050 0.000
IMPORT 2.893 0.286 10.132 0.000
PMI 1.675 0.291 5.761 0.000
STANDARDIZED MODEL RESULTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
REACTION ON
IMPORT 0.363 0.077 4.732 0.000
PMI 0.338 0.065 5.172 0.000
COND 0.033 0.076 0.437 0.662
IMPORT ON
COND 0.181 0.088 2.062 0.039
PMI ON
COND 0.181 0.089 2.024 0.043
IMPORT WITH
PMI 0.258 0.088 2.920 0.004
Intercepts
REACTION -0.097 0.241 -0.403 0.687
IMPORT 2.259 0.185 12.195 0.000
PMI 4.086 0.413 9.897 0.000
Residual Variances
REACTION 0.675 0.067 10.066 0.000
IMPORT 0.967 0.032 30.467 0.000
PMI 0.967 0.032 29.958 0.000
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
REACTION ON
IMPORT 0.363 0.077 4.732 0.000
PMI 0.338 0.065 5.172 0.000
COND 0.067 0.153 0.437 0.662
IMPORT ON
COND 0.362 0.176 2.062 0.039
PMI ON
COND 0.362 0.179 2.024 0.043
IMPORT WITH
PMI 0.258 0.088 2.920 0.004
Intercepts
REACTION -0.097 0.241 -0.403 0.687
IMPORT 2.259 0.185 12.195 0.000
PMI 4.086 0.413 9.897 0.000
Residual Variances
REACTION 0.675 0.067 10.066 0.000
IMPORT 0.967 0.032 30.467 0.000
PMI 0.967 0.032 29.958 0.000
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
REACTION ON
IMPORT 0.324 0.072 4.498 0.000
PMI 0.397 0.075 5.265 0.000
COND 0.103 0.236 0.437 0.662
IMPORT ON
COND 0.627 0.308 2.032 0.042
PMI ON
COND 0.477 0.233 2.045 0.041
IMPORT WITH
PMI 0.568 0.221 2.566 0.010
Intercepts
REACTION -0.150 0.376 -0.399 0.690
IMPORT 3.908 0.204 19.176 0.000
PMI 5.377 0.165 32.660 0.000
Residual Variances
REACTION 1.609 0.178 9.050 0.000
IMPORT 2.893 0.286 10.132 0.000
PMI 1.675 0.291 5.761 0.000
R-SQUARE
Observed Two-Tailed
Variable Estimate S.E. Est./S.E. P-Value
REACTION 0.325 0.067 4.850 0.000
IMPORT 0.033 0.032 1.031 0.303
PMI 0.033 0.032 1.012 0.311
QUALITY OF NUMERICAL RESULTS
Condition Number for the Information Matrix 0.889E-03
(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 COND to REACTION
Total 0.496 0.274 1.811 0.070
Total indirect 0.392 0.161 2.430 0.015
Specific indirect
REACTION
IMPORT
COND 0.203 0.112 1.823 0.068
REACTION
PMI
COND 0.189 0.101 1.867 0.062
Direct
REACTION
COND 0.103 0.236 0.437 0.662
STANDARDIZED TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
STDYX Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Effects from COND to REACTION
Total 0.160 0.087 1.834 0.067
Total indirect 0.127 0.051 2.498 0.012
Specific indirect
REACTION
IMPORT
COND 0.066 0.035 1.857 0.063
REACTION
PMI
COND 0.061 0.032 1.889 0.059
Direct
REACTION
COND 0.033 0.076 0.437 0.662
STDY Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Effects from COND to REACTION
Total 0.321 0.175 1.834 0.067
Total indirect 0.254 0.102 2.498 0.012
Specific indirect
REACTION
IMPORT
COND 0.132 0.071 1.858 0.063
REACTION
PMI
COND 0.122 0.065 1.889 0.059
Direct
REACTION
COND 0.067 0.153 0.437 0.662
STD Standardization
Two-Tailed
Estimate S.E. Est./S.E. P-Value
Effects from COND to REACTION
Total 0.496 0.274 1.811 0.070
Total indirect 0.392 0.161 2.430 0.015
Specific indirect
REACTION
IMPORT
COND 0.203 0.112 1.823 0.068
REACTION
PMI
COND 0.189 0.101 1.867 0.062
Direct
REACTION
COND 0.103 0.236 0.437 0.662
CONFIDENCE INTERVALS OF MODEL RESULTS
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
REACTION ON
IMPORT 0.139 0.183 0.206 0.324 0.443 0.466 0.510
PMI 0.203 0.249 0.273 0.397 0.520 0.544 0.591
COND -0.506 -0.360 -0.286 0.103 0.492 0.567 0.712
IMPORT ON
COND -0.168 0.022 0.119 0.627 1.134 1.231 1.421
PMI ON
COND -0.124 0.020 0.093 0.477 0.860 0.933 1.077
IMPORT WITH
PMI -0.002 0.134 0.204 0.568 0.931 1.001 1.137
Intercepts
REACTION -1.117 -0.886 -0.768 -0.150 0.468 0.587 0.818
IMPORT 3.383 3.508 3.572 3.908 4.243 4.307 4.433
PMI 4.953 5.054 5.106 5.377 5.648 5.700 5.801
Residual Variances
REACTION 1.151 1.260 1.316 1.609 1.901 1.957 2.067
IMPORT 2.158 2.334 2.424 2.893 3.363 3.453 3.629
PMI 0.926 1.105 1.197 1.675 2.153 2.245 2.424
CONFIDENCE INTERVALS OF STANDARDIZED MODEL RESULTS
STDYX Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
REACTION ON
IMPORT 0.166 0.213 0.237 0.363 0.490 0.514 0.561
PMI 0.170 0.210 0.230 0.338 0.445 0.466 0.506
COND -0.163 -0.116 -0.092 0.033 0.159 0.183 0.230
IMPORT ON
COND -0.045 0.009 0.037 0.181 0.325 0.353 0.407
PMI ON
COND -0.049 0.006 0.034 0.181 0.328 0.356 0.411
IMPORT WITH
PMI 0.030 0.085 0.113 0.258 0.403 0.431 0.485
Intercepts
REACTION -0.718 -0.569 -0.493 -0.097 0.299 0.375 0.524
IMPORT 1.782 1.896 1.955 2.259 2.564 2.623 2.737
PMI 3.023 3.277 3.407 4.086 4.765 4.895 5.150
Residual Variances
REACTION 0.502 0.543 0.565 0.675 0.785 0.806 0.848
IMPORT 0.885 0.905 0.915 0.967 1.019 1.029 1.049
PMI 0.884 0.904 0.914 0.967 1.020 1.031 1.050
STDY Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
REACTION ON
IMPORT 0.166 0.213 0.237 0.363 0.490 0.514 0.561
PMI 0.170 0.210 0.230 0.338 0.445 0.466 0.506
COND -0.327 -0.233 -0.185 0.067 0.319 0.367 0.461
IMPORT ON
COND -0.090 0.018 0.073 0.362 0.652 0.707 0.815
PMI ON
COND -0.099 0.011 0.068 0.362 0.656 0.713 0.823
IMPORT WITH
PMI 0.030 0.085 0.113 0.258 0.403 0.431 0.485
Intercepts
REACTION -0.718 -0.569 -0.493 -0.097 0.299 0.375 0.524
IMPORT 1.782 1.896 1.955 2.259 2.564 2.623 2.737
PMI 3.023 3.277 3.407 4.086 4.765 4.895 5.150
Residual Variances
REACTION 0.502 0.543 0.565 0.675 0.785 0.806 0.848
IMPORT 0.885 0.905 0.915 0.967 1.019 1.029 1.049
PMI 0.884 0.904 0.914 0.967 1.020 1.031 1.050
STD Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
REACTION ON
IMPORT 0.139 0.183 0.206 0.324 0.443 0.466 0.510
PMI 0.203 0.249 0.273 0.397 0.520 0.544 0.591
COND -0.506 -0.360 -0.286 0.103 0.492 0.567 0.712
IMPORT ON
COND -0.168 0.022 0.119 0.627 1.134 1.231 1.421
PMI ON
COND -0.124 0.020 0.093 0.477 0.860 0.933 1.077
IMPORT WITH
PMI -0.002 0.134 0.204 0.568 0.931 1.001 1.137
Intercepts
REACTION -1.117 -0.886 -0.768 -0.150 0.468 0.587 0.818
IMPORT 3.383 3.508 3.572 3.908 4.243 4.307 4.433
PMI 4.953 5.054 5.106 5.377 5.648 5.700 5.801
Residual Variances
REACTION 1.151 1.260 1.316 1.609 1.901 1.957 2.067
IMPORT 2.158 2.334 2.424 2.893 3.363 3.453 3.629
PMI 0.926 1.105 1.197 1.675 2.153 2.245 2.424
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 COND to REACTION
Total -0.209 -0.041 0.045 0.496 0.946 1.032 1.201
Total indirect -0.023 0.076 0.127 0.392 0.658 0.709 0.808
Specific indirect
REACTION
IMPORT
COND -0.084 -0.015 0.020 0.203 0.387 0.422 0.491
REACTION
PMI
COND -0.072 -0.009 0.022 0.189 0.355 0.387 0.450
Direct
REACTION
COND -0.506 -0.360 -0.286 0.103 0.492 0.567 0.712
CONFIDENCE INTERVALS OF STANDARDIZED TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
STDYX Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
Effects from COND to REACTION
Total -0.065 -0.011 0.017 0.160 0.304 0.332 0.385
Total indirect -0.004 0.027 0.043 0.127 0.210 0.226 0.258
Specific indirect
REACTION
IMPORT
COND -0.025 -0.004 0.008 0.066 0.124 0.135 0.157
REACTION
PMI
COND -0.022 -0.002 0.008 0.061 0.114 0.124 0.144
Direct
REACTION
COND -0.163 -0.116 -0.092 0.033 0.159 0.183 0.230
STDY Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
Effects from COND to REACTION
Total -0.130 -0.022 0.033 0.321 0.609 0.664 0.772
Total indirect -0.008 0.055 0.087 0.254 0.421 0.453 0.516
Specific indirect
REACTION
IMPORT
COND -0.051 -0.007 0.015 0.132 0.248 0.271 0.314
REACTION
PMI
COND -0.044 -0.005 0.016 0.122 0.229 0.249 0.289
Direct
REACTION
COND -0.327 -0.233 -0.185 0.067 0.319 0.367 0.461
STD Standardization
Lower .5% Lower 2.5% Lower 5% Estimate Upper 5% Upper 2.5% Upper .5%
Effects from COND to REACTION
Total -0.209 -0.041 0.045 0.496 0.946 1.032 1.201
Total indirect -0.023 0.076 0.127 0.392 0.658 0.709 0.808
Specific indirect
REACTION
IMPORT
COND -0.084 -0.015 0.020 0.203 0.387 0.422 0.491
REACTION
PMI
COND -0.072 -0.009 0.022 0.189 0.355 0.387 0.450
Direct
REACTION
COND -0.506 -0.360 -0.286 0.103 0.492 0.567 0.712
PLOT INFORMATION
The following plots are available:
Histograms (sample values, outliers, estimated values, residuals)
Scatterplots (sample values, outliers, estimated values, residuals)
DIAGRAM INFORMATION
Use View Diagram under the Diagram menu in the Mplus Editor to view the diagram.
If running Mplus from the Mplus Diagrammer, the diagram opens automatically.
Diagram output
c:\users\bengt 2013\documents\bengt\mplus runs\a book - topic 1 mplus runs\path analysis\hayes p
Beginning Time: 10:42:15
Ending Time: 10:42:15
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) 1998-2015 Muthen & Muthen
Back to examples