Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016 3:03 PM
INPUT INSTRUCTIONS
title:
Step 2
Simulating Z moderation of X to M using a random slope,
saving the data for external Monte Carlo analysis
Data:
file xzreplist.dat;
type = montecarlo;
Variable:
names = y m x z;
usevariables = y m x z;
model:
y on m*.5 (b)
x*.2 z*.1;
y*.5; [y*0];
m on x*.3 (gamma1);
m on z*.3;
m*.5; [m*0];
model constraint:
new(ind*.15);
ind = b*gamma1;
INPUT READING TERMINATED NORMALLY
Step 2
Simulating Z moderation of X to M using a random slope,
saving the data for external Monte Carlo analysis
SUMMARY OF ANALYSIS
Number of groups 1
Average number of observations 400
Number of replications
Requested 500
Completed 500
Number of dependent variables 2
Number of independent variables 2
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M
Observed independent variables
X Z
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)
Multiple data files from
xzreplist.dat
Input data format FREE
SAMPLE STATISTICS
NOTE: These are average results over 500 data sets.
SAMPLE STATISTICS
Means
Y M X Z
________ ________ ________ ________
1 0.197 0.190 0.500 0.002
Covariances
Y M X Z
________ ________ ________ ________
Y 0.787
M 0.446 0.737
X 0.148 0.155 0.249
Z 0.368 0.460 0.200 0.999
Correlations
Y M X Z
________ ________ ________ ________
Y 1.000
M 0.585 1.000
X 0.335 0.362 1.000
Z 0.415 0.536 0.402 1.000
MODEL FIT INFORMATION
Number of Free Parameters 9
Loglikelihood
H0 Value
Mean -855.918
Std Dev 19.943
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 -902.311 -901.609
0.980 0.982 -896.875 -895.805
0.950 0.958 -888.722 -888.135
0.900 0.898 -881.477 -882.260
0.800 0.798 -872.702 -873.710
0.700 0.696 -866.376 -866.481
0.500 0.488 -855.918 -856.284
0.300 0.294 -845.460 -845.863
0.200 0.208 -839.135 -838.284
0.100 0.108 -830.360 -828.751
0.050 0.044 -823.115 -823.612
0.020 0.014 -814.962 -818.146
0.010 0.010 -809.526 -812.270
H1 Value
Mean -855.918
Std Dev 19.943
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 -902.311 -901.609
0.980 0.982 -896.875 -895.805
0.950 0.958 -888.722 -888.134
0.900 0.898 -881.477 -882.260
0.800 0.798 -872.702 -873.710
0.700 0.696 -866.376 -866.481
0.500 0.488 -855.918 -856.284
0.300 0.294 -845.460 -845.863
0.200 0.208 -839.135 -838.284
0.100 0.108 -830.360 -828.751
0.050 0.044 -823.115 -823.612
0.020 0.014 -814.962 -818.146
0.010 0.010 -809.526 -812.270
Information Criteria
Akaike (AIC)
Mean 1729.837
Std Dev 39.885
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1637.051 1636.241
0.980 0.986 1647.924 1654.178
0.950 0.956 1664.229 1665.138
0.900 0.892 1678.720 1674.985
0.800 0.792 1696.269 1694.385
0.700 0.706 1708.921 1709.521
0.500 0.512 1729.837 1730.351
0.300 0.304 1750.753 1750.958
0.200 0.202 1763.404 1764.095
0.100 0.102 1780.954 1781.443
0.050 0.042 1795.444 1793.897
0.020 0.018 1811.749 1809.583
0.010 0.008 1822.622 1820.160
Bayesian (BIC)
Mean 1765.760
Std Dev 39.885
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1672.975 1672.164
0.980 0.986 1683.847 1690.102
0.950 0.956 1700.153 1701.061
0.900 0.892 1714.643 1710.908
0.800 0.792 1732.192 1730.309
0.700 0.706 1744.844 1745.445
0.500 0.512 1765.760 1766.274
0.300 0.304 1786.676 1786.881
0.200 0.202 1799.327 1800.018
0.100 0.102 1816.877 1817.366
0.050 0.042 1831.367 1829.820
0.020 0.018 1847.672 1845.506
0.010 0.008 1858.545 1856.083
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 1737.202
Std Dev 39.885
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1644.417 1643.607
0.980 0.986 1655.290 1661.544
0.950 0.956 1671.595 1672.503
0.900 0.892 1686.085 1682.351
0.800 0.792 1703.635 1701.751
0.700 0.706 1716.286 1716.887
0.500 0.512 1737.202 1737.717
0.300 0.304 1758.118 1758.323
0.200 0.202 1770.770 1771.460
0.100 0.102 1788.319 1788.809
0.050 0.042 1802.810 1801.263
0.020 0.018 1819.115 1816.949
0.010 0.008 1829.988 1827.525
Chi-Square Test of Model Fit
Degrees of freedom 0
Mean 0.000
Std Dev 0.000
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.000 0.000
0.980 1.000 0.000 0.000
0.950 1.000 0.000 0.000
0.900 1.000 0.000 0.000
0.800 1.000 0.000 0.000
0.700 1.000 0.000 0.000
0.500 1.000 0.000 0.000
0.300 1.000 0.000 0.000
0.200 1.000 0.000 0.000
0.100 1.000 0.000 0.000
0.050 1.000 0.000 0.000
0.020 1.000 0.000 0.000
0.010 1.000 0.000 0.000
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.000
Std Dev 0.000
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 0.000 0.000
0.980 0.000 0.000 0.000
0.950 0.000 0.000 0.000
0.900 0.000 0.000 0.000
0.800 0.000 0.000 0.000
0.700 0.000 0.000 0.000
0.500 0.000 0.000 0.000
0.300 0.000 0.000 0.000
0.200 0.000 0.000 0.000
0.100 0.000 0.000 0.000
0.050 0.000 0.000 0.000
0.020 0.000 0.000 0.000
0.010 0.000 0.000 0.000
CFI/TLI
CFI
Mean 1.000
Std Dev 0.000
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.982 1.000 1.000
0.980 0.976 1.000 1.000
0.950 0.954 1.000 1.000
0.900 0.900 1.000 1.000
0.800 0.792 1.000 1.000
0.700 0.702 1.000 1.000
0.500 0.514 1.000 1.000
0.300 0.332 1.000 1.000
0.200 0.230 1.000 1.000
0.100 0.094 1.000 1.000
0.050 0.034 1.000 1.000
0.020 0.004 1.000 1.000
0.010 0.002 1.000 1.000
TLI
Mean 1.000
Std Dev 0.000
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 1.000 1.000
0.980 0.000 1.000 1.000
0.950 0.000 1.000 1.000
0.900 0.000 1.000 1.000
0.800 0.000 1.000 1.000
0.700 0.000 1.000 1.000
0.500 0.000 1.000 1.000
0.300 0.000 1.000 1.000
0.200 0.000 1.000 1.000
0.100 0.000 1.000 1.000
0.050 0.000 1.000 1.000
0.020 0.000 1.000 1.000
0.010 0.000 1.000 1.000
SRMR (Standardized Root Mean Square Residual)
Mean 0.000
Std Dev 0.000
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.000 0.000
0.980 0.998 0.000 0.000
0.950 0.976 0.000 0.000
0.900 0.892 0.000 0.000
0.800 0.744 0.000 0.000
0.700 0.658 0.000 0.000
0.500 0.492 0.000 0.000
0.300 0.328 0.000 0.000
0.200 0.222 0.000 0.000
0.100 0.112 0.000 0.000
0.050 0.044 0.000 0.000
0.020 0.018 0.000 0.000
0.010 0.004 0.000 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
M 0.500 0.5007 0.0524 0.0496 0.0027 0.932 1.000
X 0.200 0.2056 0.0782 0.0784 0.0061 0.946 0.756
Z 0.100 0.0963 0.0470 0.0433 0.0022 0.936 0.596
M ON
X 0.300 0.3010 0.0788 0.0777 0.0062 0.950 0.972
Z 0.300 0.4005 0.0390 0.0389 0.0116 0.272 1.000
Intercepts
Y 0.000 -0.0017 0.0527 0.0522 0.0028 0.934 0.066
M 0.000 0.0393 0.0530 0.0526 0.0043 0.882 0.118
Residual Variances
Y 0.500 0.4938 0.0341 0.0349 0.0012 0.932 1.000
M 0.500 0.5037 0.0344 0.0356 0.0012 0.954 1.000
New/Additional Parameters
IND 0.150 0.1506 0.0423 0.0419 0.0018 0.958 0.970
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.798E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M X Z
________ ________ ________ ________
1 0 0 0 0
LAMBDA
Y M X Z
________ ________ ________ ________
Y 0 0 0 0
M 0 0 0 0
X 0 0 0 0
Z 0 0 0 0
THETA
Y M X Z
________ ________ ________ ________
Y 0
M 0 0
X 0 0 0
Z 0 0 0 0
ALPHA
Y M X Z
________ ________ ________ ________
1 1 2 0 0
BETA
Y M X Z
________ ________ ________ ________
Y 0 3 4 5
M 0 0 6 7
X 0 0 0 0
Z 0 0 0 0
PSI
Y M X Z
________ ________ ________ ________
Y 8
M 0 9
X 0 0 0
Z 0 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 10
STARTING VALUES
NU
Y M X Z
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
LAMBDA
Y M X Z
________ ________ ________ ________
Y 1.000 0.000 0.000 0.000
M 0.000 1.000 0.000 0.000
X 0.000 0.000 1.000 0.000
Z 0.000 0.000 0.000 1.000
THETA
Y M X Z
________ ________ ________ ________
Y 0.000
M 0.000 0.000
X 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000
ALPHA
Y M X Z
________ ________ ________ ________
1 0.000 0.000 0.538 0.007
BETA
Y M X Z
________ ________ ________ ________
Y 0.000 0.500 0.200 0.100
M 0.000 0.000 0.300 0.300
X 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000
PSI
Y M X Z
________ ________ ________ ________
Y 0.500
M 0.000 0.500
X 0.000 0.000 0.249
Z 0.000 0.000 0.234 1.054
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 0.150
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 15:03:33
Ending Time: 15:03:36
Elapsed Time: 00:00:03
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