Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016 3:04 PM
INPUT INSTRUCTIONS
title:
data:
file = twomreplist.dat;
type = montecarlo;
variable:
names = y m1 m2 x;
usev = y m1 x;
analysis:
model:
m1 on x*.5 (a);
m1*.75;
y on m1*.5 (b);
y*.227;
[y*0];
[m1*0];
model constraint:
new(ind*.25);
ind = a*b;
output:
INPUT READING TERMINATED NORMALLY
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 M1
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
twomreplist.dat
Input data format FREE
SAMPLE STATISTICS
NOTE: These are average results over 500 data sets.
SAMPLE STATISTICS
Means
Y M1 X
________ ________ ________
1 0.126 0.252 0.499
Covariances
Y M1 X
________ ________ ________
Y 0.652
M1 0.538 0.814
X 0.063 0.124 0.249
Correlations
Y M1 X
________ ________ ________
Y 1.000
M1 0.739 1.000
X 0.156 0.276 1.000
MODEL FIT INFORMATION
Number of Free Parameters 6
Loglikelihood
H0 Value
Mean -832.672
Std Dev 19.882
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 -878.925 -879.021
0.980 0.978 -873.505 -875.554
0.950 0.948 -865.377 -867.775
0.900 0.898 -858.154 -859.395
0.800 0.816 -849.405 -848.666
0.700 0.698 -843.099 -843.695
0.500 0.504 -832.672 -832.416
0.300 0.290 -822.246 -823.081
0.200 0.196 -815.939 -816.351
0.100 0.102 -807.191 -806.670
0.050 0.046 -799.968 -800.273
0.020 0.022 -791.840 -791.789
0.010 0.008 -786.420 -788.435
H1 Value
Mean -831.105
Std Dev 19.749
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 -877.047 -876.483
0.980 0.976 -871.664 -874.288
0.950 0.950 -863.590 -864.048
0.900 0.900 -856.416 -857.193
0.800 0.808 -847.726 -847.096
0.700 0.692 -841.462 -842.003
0.500 0.498 -831.105 -831.195
0.300 0.288 -820.749 -821.697
0.200 0.204 -814.485 -814.299
0.100 0.106 -805.795 -805.081
0.050 0.046 -798.620 -799.405
0.020 0.022 -790.547 -790.495
0.010 0.008 -785.163 -787.135
Information Criteria
Akaike (AIC)
Mean 1677.345
Std Dev 39.765
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 1584.840 1586.675
0.980 0.978 1595.680 1593.549
0.950 0.954 1611.935 1612.160
0.900 0.898 1626.382 1624.265
0.800 0.804 1643.879 1644.196
0.700 0.710 1656.492 1658.110
0.500 0.496 1677.345 1676.684
0.300 0.302 1698.198 1698.731
0.200 0.184 1710.811 1708.675
0.100 0.102 1728.308 1729.305
0.050 0.052 1742.754 1743.015
0.020 0.022 1759.010 1763.041
0.010 0.010 1769.850 1769.486
Bayesian (BIC)
Mean 1701.294
Std Dev 39.765
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 1608.788 1610.624
0.980 0.978 1619.628 1617.498
0.950 0.954 1635.884 1636.109
0.900 0.898 1650.331 1648.214
0.800 0.804 1667.827 1668.145
0.700 0.710 1680.441 1682.059
0.500 0.496 1701.294 1700.633
0.300 0.302 1722.146 1722.680
0.200 0.184 1734.760 1732.624
0.100 0.102 1752.256 1753.254
0.050 0.052 1766.703 1766.964
0.020 0.022 1782.959 1786.990
0.010 0.010 1793.799 1793.435
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 1682.255
Std Dev 39.765
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 1589.750 1591.586
0.980 0.978 1600.590 1598.459
0.950 0.954 1616.846 1617.070
0.900 0.898 1631.292 1629.176
0.800 0.804 1648.789 1649.106
0.700 0.710 1661.402 1663.021
0.500 0.496 1682.255 1681.594
0.300 0.302 1703.108 1703.642
0.200 0.184 1715.721 1713.585
0.100 0.102 1733.218 1734.215
0.050 0.052 1747.665 1747.925
0.020 0.022 1763.920 1767.952
0.010 0.010 1774.760 1774.396
Chi-Square Test of Model Fit
Degrees of freedom 1
Mean 3.134
Std Dev 3.160
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 0.000 0.001
0.980 0.990 0.001 0.003
0.950 0.978 0.004 0.015
0.900 0.948 0.016 0.070
0.800 0.910 0.064 0.392
0.700 0.876 0.148 1.017
0.500 0.786 0.455 2.364
0.300 0.696 1.074 3.999
0.200 0.616 1.642 4.952
0.100 0.450 2.706 6.800
0.050 0.318 3.841 9.416
0.020 0.180 5.412 12.777
0.010 0.106 6.635 13.827
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.058
Std Dev 0.050
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.058 0.000
0.980 1.000 -0.044 0.000
0.950 1.000 -0.024 0.000
0.900 1.000 -0.006 0.000
0.800 0.690 0.016 0.000
0.700 0.634 0.032 0.006
0.500 0.506 0.058 0.058
0.300 0.318 0.084 0.087
0.200 0.200 0.100 0.099
0.100 0.098 0.122 0.120
0.050 0.056 0.140 0.145
0.020 0.032 0.160 0.172
0.010 0.016 0.174 0.179
CFI/TLI
CFI
Mean 0.993
Std Dev 0.009
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.958 0.973 0.959
0.980 0.950 0.975 0.966
0.950 0.930 0.979 0.975
0.900 0.906 0.982 0.983
0.800 0.846 0.986 0.988
0.700 0.792 0.989 0.991
0.500 0.626 0.993 0.996
0.300 0.404 0.998 1.000
0.200 0.000 1.001 1.000
0.100 0.000 1.004 1.000
0.050 0.000 1.008 1.000
0.020 0.000 1.011 1.000
0.010 0.000 1.013 1.000
TLI
Mean 0.981
Std Dev 0.028
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.962 0.917 0.876
0.980 0.952 0.925 0.898
0.950 0.932 0.936 0.925
0.900 0.908 0.946 0.948
0.800 0.840 0.958 0.963
0.700 0.788 0.967 0.974
0.500 0.608 0.981 0.989
0.300 0.372 0.996 1.000
0.200 0.208 1.005 1.005
0.100 0.000 1.017 1.008
0.050 0.000 1.027 1.008
0.020 0.000 1.038 1.009
0.010 0.000 1.046 1.009
SRMR (Standardized Root Mean Square Residual)
Mean 0.016
Std Dev 0.010
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.006 0.000
0.980 1.000 -0.003 0.001
0.950 0.986 0.000 0.001
0.900 0.876 0.004 0.003
0.800 0.766 0.008 0.007
0.700 0.690 0.011 0.010
0.500 0.496 0.016 0.016
0.300 0.296 0.022 0.021
0.200 0.198 0.025 0.024
0.100 0.096 0.029 0.028
0.050 0.058 0.032 0.033
0.020 0.032 0.036 0.038
0.010 0.016 0.039 0.041
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
M1 ON
X 0.500 0.4985 0.0831 0.0867 0.0069 0.962 1.000
Y ON
M1 0.500 0.6612 0.0313 0.0301 0.0270 0.000 1.000
Intercepts
Y 0.000 -0.0401 0.0308 0.0282 0.0026 0.712 0.288
M1 0.000 0.0028 0.0595 0.0612 0.0035 0.952 0.048
Residual Variances
Y 0.227 0.2950 0.0208 0.0209 0.0051 0.066 1.000
M1 0.750 0.7508 0.0545 0.0531 0.0030 0.946 1.000
New/Additional Parameters
IND 0.250 0.3294 0.0560 0.0593 0.0094 0.738 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.453E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M1 X
________ ________ ________
1 0 0 0
LAMBDA
Y M1 X
________ ________ ________
Y 0 0 0
M1 0 0 0
X 0 0 0
THETA
Y M1 X
________ ________ ________
Y 0
M1 0 0
X 0 0 0
ALPHA
Y M1 X
________ ________ ________
1 1 2 0
BETA
Y M1 X
________ ________ ________
Y 0 3 0
M1 0 0 4
X 0 0 0
PSI
Y M1 X
________ ________ ________
Y 5
M1 0 6
X 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 7
STARTING VALUES
NU
Y M1 X
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
Y M1 X
________ ________ ________
Y 1.000 0.000 0.000
M1 0.000 1.000 0.000
X 0.000 0.000 1.000
THETA
Y M1 X
________ ________ ________
Y 0.000
M1 0.000 0.000
X 0.000 0.000 0.000
ALPHA
Y M1 X
________ ________ ________
1 0.000 0.000 0.528
BETA
Y M1 X
________ ________ ________
Y 0.000 0.500 0.000
M1 0.000 0.000 0.500
X 0.000 0.000 0.000
PSI
Y M1 X
________ ________ ________
Y 0.227
M1 0.000 0.750
X 0.000 0.000 0.249
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 0.250
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 15:04:12
Ending Time: 15:04:14
Elapsed Time: 00:00:02
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