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;
model:
y on m*.5 (b)
x*.2;
y*.5; [y*0];
m on x*.3 (gamma1);
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 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M
Observed independent variables
X
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
________ ________ ________
1 0.197 0.190 0.500
Covariances
Y M X
________ ________ ________
Y 0.787
M 0.446 0.737
X 0.148 0.155 0.249
Correlations
Y M X
________ ________ ________
Y 1.000
M 0.585 1.000
X 0.335 0.362 1.000
MODEL FIT INFORMATION
Number of Free Parameters 7
Loglikelihood
H0 Value
Mean -906.514
Std Dev 19.943
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -952.908 -949.531
0.980 0.978 -947.472 -947.650
0.950 0.950 -939.319 -939.402
0.900 0.894 -932.073 -933.751
0.800 0.808 -923.298 -922.652
0.700 0.690 -916.972 -917.307
0.500 0.492 -906.514 -906.863
0.300 0.296 -896.056 -896.419
0.200 0.216 -889.730 -888.423
0.100 0.098 -880.955 -881.184
0.050 0.058 -873.709 -872.754
0.020 0.018 -865.557 -866.149
0.010 0.010 -860.120 -860.772
H1 Value
Mean -906.514
Std Dev 19.943
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -952.908 -949.531
0.980 0.978 -947.472 -947.650
0.950 0.950 -939.319 -939.402
0.900 0.894 -932.073 -933.751
0.800 0.808 -923.298 -922.652
0.700 0.690 -916.972 -917.307
0.500 0.492 -906.514 -906.863
0.300 0.296 -896.056 -896.419
0.200 0.216 -889.730 -888.423
0.100 0.098 -880.955 -881.184
0.050 0.058 -873.709 -872.754
0.020 0.018 -865.557 -866.149
0.010 0.010 -860.120 -860.772
Information Criteria
Akaike (AIC)
Mean 1827.028
Std Dev 39.887
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1734.240 1732.904
0.980 0.982 1745.113 1745.426
0.950 0.942 1761.419 1757.690
0.900 0.902 1775.910 1774.694
0.800 0.784 1793.460 1790.321
0.700 0.704 1806.112 1806.376
0.500 0.508 1827.028 1827.378
0.300 0.310 1847.945 1848.531
0.200 0.192 1860.597 1858.862
0.100 0.106 1878.147 1879.591
0.050 0.050 1892.638 1891.982
0.020 0.022 1908.943 1909.124
0.010 0.006 1919.817 1913.049
Bayesian (BIC)
Mean 1854.969
Std Dev 39.887
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1762.180 1760.844
0.980 0.982 1773.053 1773.366
0.950 0.942 1789.359 1785.631
0.900 0.902 1803.850 1802.635
0.800 0.784 1821.400 1818.261
0.700 0.704 1834.052 1834.317
0.500 0.508 1854.969 1855.318
0.300 0.310 1875.885 1876.471
0.200 0.192 1888.537 1886.802
0.100 0.106 1906.087 1907.531
0.050 0.050 1920.578 1919.922
0.020 0.022 1936.884 1937.064
0.010 0.006 1947.757 1940.989
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 1832.757
Std Dev 39.887
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1739.969 1738.632
0.980 0.982 1750.842 1751.155
0.950 0.942 1767.148 1763.419
0.900 0.902 1781.638 1780.423
0.800 0.784 1799.188 1796.050
0.700 0.704 1811.841 1812.105
0.500 0.508 1832.757 1833.107
0.300 0.310 1853.674 1854.260
0.200 0.192 1866.326 1864.591
0.100 0.106 1883.876 1885.320
0.050 0.050 1898.367 1897.710
0.020 0.022 1914.672 1914.852
0.010 0.006 1925.545 1918.778
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 0.988 1.000 1.000
0.980 0.962 1.000 1.000
0.950 0.936 1.000 1.000
0.900 0.886 1.000 1.000
0.800 0.818 1.000 1.000
0.700 0.718 1.000 1.000
0.500 0.550 1.000 1.000
0.300 0.304 1.000 1.000
0.200 0.198 1.000 1.000
0.100 0.084 1.000 1.000
0.050 0.040 1.000 1.000
0.020 0.010 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 0.982 0.000 0.000
0.980 0.964 0.000 0.000
0.950 0.936 0.000 0.000
0.900 0.888 0.000 0.000
0.800 0.808 0.000 0.000
0.700 0.732 0.000 0.000
0.500 0.526 0.000 0.000
0.300 0.322 0.000 0.000
0.200 0.220 0.000 0.000
0.100 0.092 0.000 0.000
0.050 0.036 0.000 0.000
0.020 0.006 0.000 0.000
0.010 0.000 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 0.5511 0.0448 0.0443 0.0046 0.782 1.000
X 0.200 0.2519 0.0760 0.0761 0.0085 0.884 0.906
M ON
X 0.300 0.6230 0.0796 0.0800 0.1107 0.020 1.000
Intercepts
Y 0.000 -0.0342 0.0511 0.0504 0.0038 0.890 0.110
M 0.000 -0.1210 0.0530 0.0566 0.0174 0.408 0.592
Residual Variances
Y 0.500 0.5013 0.0345 0.0354 0.0012 0.960 1.000
M 0.500 0.6390 0.0444 0.0452 0.0213 0.100 1.000
New/Additional Parameters
IND 0.150 0.3432 0.0521 0.0522 0.0401 0.018 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.866E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M X
________ ________ ________
1 0 0 0
LAMBDA
Y M X
________ ________ ________
Y 0 0 0
M 0 0 0
X 0 0 0
THETA
Y M X
________ ________ ________
Y 0
M 0 0
X 0 0 0
ALPHA
Y M X
________ ________ ________
1 1 2 0
BETA
Y M X
________ ________ ________
Y 0 3 4
M 0 0 5
X 0 0 0
PSI
Y M X
________ ________ ________
Y 6
M 0 7
X 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 8
STARTING VALUES
NU
Y M X
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
Y M X
________ ________ ________
Y 1.000 0.000 0.000
M 0.000 1.000 0.000
X 0.000 0.000 1.000
THETA
Y M X
________ ________ ________
Y 0.000
M 0.000 0.000
X 0.000 0.000 0.000
ALPHA
Y M X
________ ________ ________
1 0.000 0.000 0.538
BETA
Y M X
________ ________ ________
Y 0.000 0.500 0.200
M 0.000 0.000 0.300
X 0.000 0.000 0.000
PSI
Y M X
________ ________ ________
Y 0.500
M 0.000 0.500
X 0.000 0.000 0.249
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: 15:03:26
Ending Time: 15:03:28
Elapsed Time: 00:00:02
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