Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016 7:58 PM
INPUT INSTRUCTIONS
montecarlo:
names = y x1-x4 z;
cutpoints = x3-x4(1);
nobservations = 200;
nreps = 500;
repsave = all;
save = MARn200rep*.dat;
model population:
x1-z*1;
x1-z with x1-z*.5;
y on x1-x4*.5 z*.5;
y*1;
Analysis:
estimator = mlr;
Model:
y on x1-x4*.5 z*.5;
y*1;
INPUT READING TERMINATED NORMALLY
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 200
Number of replications
Requested 500
Completed 500
Value of seed 0
Number of dependent variables 1
Number of independent variables 5
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y
Observed independent variables
X1 X2 X3 X4 Z
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0.276 0.026 0.080 0.165 0.145
Means
Z
________
1 0.024
Covariances
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 3.033
X1 1.109 1.016
X2 1.044 0.496 0.926
X3 0.312 0.123 0.100 0.138
X4 0.150 0.079 0.071 0.031 0.124
Z 1.214 0.445 0.486 0.148 0.087
Covariances
Z
________
Z 1.015
Correlations
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000
X1 0.632 1.000
X2 0.623 0.512 1.000
X3 0.483 0.329 0.281 1.000
X4 0.245 0.222 0.210 0.238 1.000
Z 0.692 0.439 0.501 0.396 0.245
Correlations
Z
________
Z 1.000
MODEL FIT INFORMATION
Number of Free Parameters 7
Loglikelihood
H0 Value
Mean -281.000
Std Dev 9.526
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 -303.160 -305.634
0.980 0.980 -300.563 -300.925
0.950 0.956 -296.669 -295.940
0.900 0.908 -293.208 -293.009
0.800 0.812 -289.017 -288.625
0.700 0.694 -285.995 -286.053
0.500 0.476 -281.000 -281.450
0.300 0.296 -276.004 -276.318
0.200 0.198 -272.983 -273.035
0.100 0.098 -268.791 -268.972
0.050 0.052 -265.331 -264.508
0.020 0.030 -261.436 -260.659
0.010 0.012 -258.840 -257.897
H1 Value
Mean -281.000
Std Dev 9.526
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 -303.160 -305.634
0.980 0.980 -300.563 -300.925
0.950 0.956 -296.669 -295.940
0.900 0.908 -293.208 -293.009
0.800 0.812 -289.017 -288.625
0.700 0.694 -285.995 -286.053
0.500 0.476 -281.000 -281.450
0.300 0.296 -276.004 -276.318
0.200 0.198 -272.983 -273.035
0.100 0.098 -268.791 -268.972
0.050 0.052 -265.331 -264.508
0.020 0.030 -261.436 -260.659
0.010 0.012 -258.840 -257.897
Information Criteria
Akaike (AIC)
Mean 576.000
Std Dev 19.052
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 531.679 527.267
0.980 0.970 536.873 534.201
0.950 0.948 544.661 542.321
0.900 0.902 551.583 551.443
0.800 0.802 559.966 559.890
0.700 0.704 566.009 566.552
0.500 0.524 576.000 576.765
0.300 0.306 585.990 586.051
0.200 0.188 592.034 590.765
0.100 0.092 600.416 599.725
0.050 0.044 607.338 605.642
0.020 0.020 615.126 614.030
0.010 0.014 620.320 622.004
Bayesian (BIC)
Mean 599.088
Std Dev 19.052
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 554.768 550.355
0.980 0.970 559.961 557.289
0.950 0.948 567.749 565.409
0.900 0.902 574.671 574.531
0.800 0.802 583.054 582.978
0.700 0.704 589.097 589.641
0.500 0.524 599.088 599.854
0.300 0.306 609.079 609.139
0.200 0.188 615.122 613.853
0.100 0.092 623.505 622.813
0.050 0.044 630.426 628.730
0.020 0.020 638.215 637.118
0.010 0.014 643.408 645.092
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 576.911
Std Dev 19.052
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 532.591 528.178
0.980 0.970 537.784 535.112
0.950 0.948 545.573 543.232
0.900 0.902 552.494 552.354
0.800 0.802 560.877 560.801
0.700 0.704 566.920 567.464
0.500 0.524 576.911 577.677
0.300 0.306 586.902 586.962
0.200 0.188 592.945 591.676
0.100 0.092 601.328 600.636
0.050 0.044 608.249 606.553
0.020 0.020 616.038 614.941
0.010 0.014 621.231 622.915
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
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 0.996 0.000 0.000
0.980 0.988 0.000 0.000
0.950 0.970 0.000 0.000
0.900 0.902 0.000 0.000
0.800 0.794 0.000 0.000
0.700 0.700 0.000 0.000
0.500 0.492 0.000 0.000
0.300 0.282 0.000 0.000
0.200 0.198 0.000 0.000
0.100 0.096 0.000 0.000
0.050 0.060 0.000 0.000
0.020 0.020 0.000 0.000
0.010 0.008 0.000 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
X1 0.500 0.5046 0.0904 0.0880 0.0082 0.944 1.000
X2 0.500 0.4980 0.0881 0.0880 0.0078 0.948 1.000
X3 0.500 0.4956 0.2338 0.2128 0.0546 0.916 0.620
X4 0.500 0.5067 0.2172 0.2126 0.0471 0.948 0.660
Z 0.500 0.4922 0.0917 0.0879 0.0085 0.936 0.998
Intercepts
Y 0.000 -0.0030 0.0883 0.0834 0.0078 0.950 0.050
Residual Variances
Y 1.000 0.9769 0.0931 0.0963 0.0092 0.930 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.423E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
NU
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0 0 0 0 0
NU
Z
________
1 0
LAMBDA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0 0 0 0 0
X1 0 0 0 0 0
X2 0 0 0 0 0
X3 0 0 0 0 0
X4 0 0 0 0 0
Z 0 0 0 0 0
LAMBDA
Z
________
Y 0
X1 0
X2 0
X3 0
X4 0
Z 0
THETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0
X1 0 0
X2 0 0 0
X3 0 0 0 0
X4 0 0 0 0 0
Z 0 0 0 0 0
THETA
Z
________
Z 0
ALPHA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 1 0 0 0 0
ALPHA
Z
________
1 0
BETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0 2 3 4 5
X1 0 0 0 0 0
X2 0 0 0 0 0
X3 0 0 0 0 0
X4 0 0 0 0 0
Z 0 0 0 0 0
BETA
Z
________
Y 6
X1 0
X2 0
X3 0
X4 0
Z 0
PSI
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 7
X1 0 0
X2 0 0 0
X3 0 0 0 0
X4 0 0 0 0 0
Z 0 0 0 0 0
PSI
Z
________
Z 0
STARTING VALUES
NU
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
Z
________
1 0.000
LAMBDA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000 0.000 0.000 0.000 0.000
X1 0.000 1.000 0.000 0.000 0.000
X2 0.000 0.000 1.000 0.000 0.000
X3 0.000 0.000 0.000 1.000 0.000
X4 0.000 0.000 0.000 0.000 1.000
Z 0.000 0.000 0.000 0.000 0.000
LAMBDA
Z
________
Y 0.000
X1 0.000
X2 0.000
X3 0.000
X4 0.000
Z 1.000
THETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0.000
X1 0.000 0.000
X2 0.000 0.000 0.000
X3 0.000 0.000 0.000 0.000
X4 0.000 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000 0.000
THETA
Z
________
Z 0.000
ALPHA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0.000 0.026 0.080 0.165 0.145
ALPHA
Z
________
1 0.024
BETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0.000 0.500 0.500 0.500 0.500
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
X3 0.000 0.000 0.000 0.000 0.000
X4 0.000 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000 0.000
BETA
Z
________
Y 0.500
X1 0.000
X2 0.000
X3 0.000
X4 0.000
Z 0.000
PSI
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000
X1 0.000 1.016
X2 0.000 0.496 0.926
X3 0.000 0.123 0.100 0.138
X4 0.000 0.079 0.071 0.031 0.124
Z 0.000 0.445 0.486 0.148 0.087
PSI
Z
________
Z 1.015
POPULATION VALUES
NU
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
NU
Z
________
1 0.000
LAMBDA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000 0.000 0.000 0.000 0.000
X1 0.000 1.000 0.000 0.000 0.000
X2 0.000 0.000 1.000 0.000 0.000
X3 0.000 0.000 0.000 1.000 0.000
X4 0.000 0.000 0.000 0.000 1.000
Z 0.000 0.000 0.000 0.000 0.000
LAMBDA
Z
________
Y 0.000
X1 0.000
X2 0.000
X3 0.000
X4 0.000
Z 1.000
THETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0.000
X1 0.000 0.000
X2 0.000 0.000 0.000
X3 0.000 0.000 0.000 0.000
X4 0.000 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000 0.000
THETA
Z
________
Z 0.000
ALPHA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0.000 0.000 0.000 0.000 0.000
ALPHA
Z
________
1 0.000
BETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0.000 0.500 0.500 0.500 0.500
X1 0.000 0.000 0.000 0.000 0.000
X2 0.000 0.000 0.000 0.000 0.000
X3 0.000 0.000 0.000 0.000 0.000
X4 0.000 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000 0.000
BETA
Z
________
Y 0.500
X1 0.000
X2 0.000
X3 0.000
X4 0.000
Z 0.000
PSI
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000
X1 0.000 1.000
X2 0.000 0.500 1.000
X3 0.000 0.500 0.500 1.000
X4 0.000 0.500 0.500 0.500 1.000
Z 0.000 0.500 0.500 0.500 0.500
PSI
Z
________
Z 1.000
SAVEDATA INFORMATION
Order of variables
Y
X1
X2
X3
X4
Z
Save file
MARn200rep*.dat
Save file format Free
Save file record length 10000
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 19:58:53
Ending Time: 19:58:54
Elapsed Time: 00:00:01
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