Mplus VERSION 7.4
MUTHEN & MUTHEN
06/02/2016 7:54 AM
INPUT INSTRUCTIONS
montecarlo:
names = y x1-x4 z;
cutpoints = x3-x4(1);
nobservations = 200;
nreps = 500;
repsave = all;
save = NMARn200rep*.dat;
model population:
x1-z*1;
x1-z with x1-z*.5;
y on x1-x4*.5 z@0;
y*1;
Analysis:
estimator = ml;
Model:
y on x1-x4*.5 z@0;
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 ML
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 0.264 0.026 0.080 0.165 0.145
Means
Z
________
1 0.024
Covariances
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 2.072
X1 0.886 1.016
X2 0.801 0.496 0.926
X3 0.238 0.123 0.100 0.138
X4 0.106 0.079 0.071 0.031 0.124
Z 0.707 0.445 0.486 0.148 0.087
Covariances
Z
________
Z 1.015
Correlations
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000
X1 0.611 1.000
X2 0.578 0.512 1.000
X3 0.446 0.329 0.281 1.000
X4 0.210 0.222 0.210 0.238 1.000
Z 0.487 0.439 0.501 0.396 0.245
Correlations
Z
________
Z 1.000
MODEL FIT INFORMATION
Number of Free Parameters 6
Loglikelihood
H0 Value
Mean -281.535
Std Dev 9.535
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 -303.718 -305.753
0.980 0.980 -301.118 -301.231
0.950 0.960 -297.220 -296.684
0.900 0.912 -293.756 -293.525
0.800 0.820 -289.560 -289.157
0.700 0.704 -286.536 -286.489
0.500 0.470 -281.535 -282.045
0.300 0.288 -276.535 -276.922
0.200 0.198 -273.510 -273.890
0.100 0.098 -269.315 -269.511
0.050 0.054 -265.851 -265.493
0.020 0.030 -261.953 -260.922
0.010 0.012 -259.353 -258.787
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 575.071
Std Dev 19.071
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 530.706 528.718
0.980 0.970 535.905 532.846
0.950 0.946 543.701 541.558
0.900 0.902 550.630 550.484
0.800 0.802 559.021 559.020
0.700 0.712 565.070 565.781
0.500 0.530 575.071 576.085
0.300 0.296 585.072 584.941
0.200 0.180 591.121 589.920
0.100 0.088 599.512 598.959
0.050 0.040 606.441 605.031
0.020 0.020 614.237 613.870
0.010 0.014 619.435 620.061
Bayesian (BIC)
Mean 594.861
Std Dev 19.071
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 550.496 548.508
0.980 0.970 555.695 552.636
0.950 0.946 563.491 561.348
0.900 0.902 570.420 570.274
0.800 0.802 578.811 578.809
0.700 0.712 584.860 585.571
0.500 0.530 594.861 595.875
0.300 0.296 604.862 604.731
0.200 0.180 610.911 609.710
0.100 0.088 619.302 618.749
0.050 0.040 626.231 624.820
0.020 0.020 634.027 633.660
0.010 0.014 639.225 639.851
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 575.852
Std Dev 19.071
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 531.488 529.499
0.980 0.970 536.686 533.627
0.950 0.946 544.483 542.339
0.900 0.902 551.411 551.265
0.800 0.802 559.802 559.801
0.700 0.712 565.851 566.562
0.500 0.530 575.852 576.866
0.300 0.296 585.853 585.723
0.200 0.180 591.902 590.702
0.100 0.088 600.293 599.740
0.050 0.040 607.222 605.812
0.020 0.020 615.018 614.651
0.010 0.014 620.217 620.843
Chi-Square Test of Model Fit
Degrees of freedom 1
Mean 1.071
Std Dev 1.488
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 0.000 0.000
0.980 0.984 0.001 0.001
0.950 0.956 0.004 0.006
0.900 0.916 0.016 0.020
0.800 0.798 0.064 0.061
0.700 0.712 0.148 0.161
0.500 0.488 0.455 0.429
0.300 0.332 1.074 1.222
0.200 0.224 1.642 1.821
0.100 0.122 2.706 3.008
0.050 0.056 3.841 4.174
0.020 0.018 5.412 5.170
0.010 0.010 6.635 6.492
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.027
Std Dev 0.045
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.077 0.000
0.980 1.000 -0.065 0.000
0.950 1.000 -0.047 0.000
0.900 1.000 -0.030 0.000
0.800 1.000 -0.011 0.000
0.700 0.344 0.004 0.000
0.500 0.316 0.027 0.000
0.300 0.238 0.050 0.033
0.200 0.198 0.065 0.064
0.100 0.140 0.084 0.100
0.050 0.098 0.100 0.126
0.020 0.058 0.119 0.144
0.010 0.040 0.131 0.166
SRMR (Standardized Root Mean Square Residual)
Mean 0.006
Std Dev 0.005
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.005 0.000
0.980 1.000 -0.003 0.000
0.950 1.000 -0.002 0.001
0.900 0.984 0.000 0.001
0.800 0.776 0.002 0.002
0.700 0.626 0.004 0.003
0.500 0.420 0.006 0.005
0.300 0.280 0.009 0.008
0.200 0.196 0.010 0.010
0.100 0.118 0.012 0.013
0.050 0.078 0.014 0.015
0.020 0.040 0.016 0.017
0.010 0.020 0.017 0.019
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
X1 0.500 0.5025 0.0870 0.0848 0.0076 0.946 1.000
X2 0.500 0.4960 0.0840 0.0849 0.0071 0.952 1.000
X3 0.500 0.4924 0.2283 0.2137 0.0521 0.928 0.630
X4 0.500 0.5038 0.2155 0.2137 0.0463 0.946 0.648
Z 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Intercepts
Y 0.000 -0.0020 0.0867 0.0827 0.0075 0.946 0.054
Residual Variances
Y 1.000 0.9822 0.0936 0.0982 0.0091 0.936 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.556E-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 0
X1 0
X2 0
X3 0
X4 0
Z 0
PSI
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 6
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 0.000
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 0.000
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
NMARn200rep*.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: 07:54:01
Ending Time: 07:54:02
Elapsed Time: 00:00:01
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