Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016 3:04 PM
INPUT INSTRUCTIONS
title:
montecarlo:
names = y m1 m2 x;
nobs = 400;
nreps = 500;
repsave = all;
save = twomrep*.dat;
cutpoints = x(0);
model population:
x@1;
m1 on x*.5;
m2 on x*0;
m1*.75;
m2*1;
m1 with m2*.433; ! residual corr=0.5
y on m1*.5 m2*.3;
y*.227;
analysis:
model:
m1 on x*.5 (a);
m2 on x*0;
m1*.75;
m2*1;
m1 with m2*.433; ! residual corr=0.5
y on m1*.5 (b)
m2*.3;
y*.227;
[y*0];
[m1*0];
[m2*0];
model constraint:
new(ind*.25);
ind = a*b;
output:
INPUT READING TERMINATED NORMALLY
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 400
Number of replications
Requested 500
Completed 500
Value of seed 0
Number of dependent variables 3
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M1 M2
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
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y M1 M2 X
________ ________ ________ ________
1 0.190 0.306 0.048 0.528
Covariances
Y M1 M2 X
________ ________ ________ ________
Y 0.628
M1 0.562 0.897
M2 0.456 0.439 0.936
X 0.088 0.161 0.038 0.249
Correlations
Y M1 M2 X
________ ________ ________ ________
Y 1.000
M1 0.749 1.000
M2 0.596 0.479 1.000
X 0.223 0.340 0.078 1.000
MODEL FIT INFORMATION
Number of Free Parameters 11
Loglikelihood
H0 Value
Mean -1287.310
Std Dev 23.380
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 -1341.700 -1341.919
0.980 0.980 -1335.326 -1336.245
0.950 0.956 -1325.768 -1324.627
0.900 0.900 -1317.274 -1318.319
0.800 0.810 -1306.987 -1306.586
0.700 0.700 -1299.571 -1299.628
0.500 0.478 -1287.310 -1288.461
0.300 0.294 -1275.050 -1275.901
0.200 0.204 -1267.634 -1267.142
0.100 0.096 -1257.346 -1258.200
0.050 0.062 -1248.852 -1245.941
0.020 0.022 -1239.295 -1238.069
0.010 0.014 -1232.921 -1231.252
H1 Value
Mean -1286.800
Std Dev 23.309
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 -1341.022 -1340.061
0.980 0.978 -1334.669 -1335.039
0.950 0.958 -1325.140 -1323.611
0.900 0.898 -1316.672 -1317.049
0.800 0.810 -1306.416 -1306.167
0.700 0.706 -1299.023 -1298.679
0.500 0.480 -1286.800 -1288.145
0.300 0.292 -1274.577 -1275.776
0.200 0.208 -1267.183 -1267.015
0.100 0.096 -1256.927 -1257.899
0.050 0.062 -1248.459 -1245.845
0.020 0.022 -1238.931 -1238.055
0.010 0.014 -1232.577 -1231.214
Information Criteria
Akaike (AIC)
Mean 2596.621
Std Dev 46.760
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 2487.842 2481.984
0.980 0.978 2500.589 2495.918
0.950 0.938 2519.705 2513.692
0.900 0.904 2536.693 2536.863
0.800 0.796 2557.267 2556.103
0.700 0.706 2572.100 2573.555
0.500 0.522 2596.621 2598.794
0.300 0.300 2621.142 2620.622
0.200 0.190 2635.974 2634.972
0.100 0.100 2656.549 2655.937
0.050 0.044 2673.537 2671.225
0.020 0.020 2692.652 2692.590
0.010 0.010 2705.399 2703.214
Bayesian (BIC)
Mean 2640.527
Std Dev 46.760
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 2531.748 2525.890
0.980 0.978 2544.495 2539.824
0.950 0.938 2563.611 2557.598
0.900 0.904 2580.599 2580.770
0.800 0.796 2601.173 2600.010
0.700 0.706 2616.006 2617.461
0.500 0.522 2640.527 2642.700
0.300 0.300 2665.048 2664.528
0.200 0.190 2679.880 2678.878
0.100 0.100 2700.455 2699.843
0.050 0.044 2717.443 2715.131
0.020 0.020 2736.558 2736.496
0.010 0.010 2749.305 2747.120
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 2605.623
Std Dev 46.760
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 2496.845 2490.986
0.980 0.978 2509.591 2504.920
0.950 0.938 2528.707 2522.694
0.900 0.904 2545.695 2545.866
0.800 0.796 2566.270 2565.106
0.700 0.706 2581.102 2582.558
0.500 0.522 2605.623 2607.796
0.300 0.300 2630.144 2629.625
0.200 0.190 2644.976 2643.975
0.100 0.100 2665.551 2664.939
0.050 0.044 2682.539 2680.227
0.020 0.020 2701.655 2701.592
0.010 0.010 2714.401 2712.216
Chi-Square Test of Model Fit
Degrees of freedom 1
Mean 1.021
Std Dev 1.544
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 0.000 0.000
0.980 0.982 0.001 0.001
0.950 0.950 0.004 0.004
0.900 0.892 0.016 0.013
0.800 0.778 0.064 0.053
0.700 0.682 0.148 0.124
0.500 0.478 0.455 0.388
0.300 0.274 1.074 1.011
0.200 0.196 1.642 1.597
0.100 0.118 2.706 3.020
0.050 0.060 3.841 4.249
0.020 0.032 5.412 6.223
0.010 0.010 6.635 6.605
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.017
Std Dev 0.032
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.057 0.000
0.980 1.000 -0.048 0.000
0.950 1.000 -0.035 0.000
0.900 1.000 -0.024 0.000
0.800 1.000 -0.010 0.000
0.700 0.306 0.001 0.000
0.500 0.270 0.017 0.000
0.300 0.214 0.034 0.005
0.200 0.174 0.044 0.039
0.100 0.136 0.058 0.071
0.050 0.108 0.070 0.090
0.020 0.064 0.083 0.114
0.010 0.050 0.092 0.118
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 -0.004 0.000
0.950 1.000 -0.002 0.000
0.900 1.000 0.000 0.001
0.800 0.774 0.002 0.002
0.700 0.636 0.003 0.003
0.500 0.398 0.006 0.005
0.300 0.240 0.008 0.007
0.200 0.182 0.010 0.009
0.100 0.120 0.012 0.013
0.050 0.082 0.014 0.015
0.020 0.050 0.016 0.018
0.010 0.038 0.017 0.019
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
M2 ON
X 0.000 0.0052 0.0950 0.0999 0.0090 0.958 0.042
Y ON
M1 0.500 0.5014 0.0304 0.0301 0.0009 0.954 1.000
M2 0.300 0.2999 0.0276 0.0272 0.0008 0.948 1.000
M1 WITH
M2 0.433 0.4323 0.0481 0.0483 0.0023 0.956 1.000
Intercepts
Y 0.000 -0.0005 0.0265 0.0250 0.0007 0.914 0.086
M1 0.000 0.0028 0.0595 0.0612 0.0035 0.952 0.048
M2 0.000 -0.0004 0.0717 0.0705 0.0051 0.942 0.058
Residual Variances
Y 0.227 0.2256 0.0158 0.0160 0.0003 0.948 1.000
M1 0.750 0.7508 0.0545 0.0531 0.0030 0.946 1.000
M2 1.000 0.9960 0.0678 0.0704 0.0046 0.954 1.000
New/Additional Parameters
IND 0.250 0.2499 0.0440 0.0460 0.0019 0.952 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.281E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
NU
Y M1 M2 X
________ ________ ________ ________
1 0 0 0 0
LAMBDA
Y M1 M2 X
________ ________ ________ ________
Y 0 0 0 0
M1 0 0 0 0
M2 0 0 0 0
X 0 0 0 0
THETA
Y M1 M2 X
________ ________ ________ ________
Y 0
M1 0 0
M2 0 0 0
X 0 0 0 0
ALPHA
Y M1 M2 X
________ ________ ________ ________
1 1 2 3 0
BETA
Y M1 M2 X
________ ________ ________ ________
Y 0 4 5 0
M1 0 0 0 6
M2 0 0 0 7
X 0 0 0 0
PSI
Y M1 M2 X
________ ________ ________ ________
Y 8
M1 0 9
M2 0 10 11
X 0 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 12
STARTING VALUES
NU
Y M1 M2 X
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
LAMBDA
Y M1 M2 X
________ ________ ________ ________
Y 1.000 0.000 0.000 0.000
M1 0.000 1.000 0.000 0.000
M2 0.000 0.000 1.000 0.000
X 0.000 0.000 0.000 1.000
THETA
Y M1 M2 X
________ ________ ________ ________
Y 0.000
M1 0.000 0.000
M2 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
ALPHA
Y M1 M2 X
________ ________ ________ ________
1 0.000 0.000 0.000 0.528
BETA
Y M1 M2 X
________ ________ ________ ________
Y 0.000 0.500 0.300 0.000
M1 0.000 0.000 0.000 0.500
M2 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
Y M1 M2 X
________ ________ ________ ________
Y 0.227
M1 0.000 0.750
M2 0.000 0.433 1.000
X 0.000 0.000 0.000 0.249
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
New/Additional Parameters
IND
________
1 0.250
POPULATION VALUES
NU
Y M1 M2 X
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
LAMBDA
Y M1 M2 X
________ ________ ________ ________
Y 1.000 0.000 0.000 0.000
M1 0.000 1.000 0.000 0.000
M2 0.000 0.000 1.000 0.000
X 0.000 0.000 0.000 1.000
THETA
Y M1 M2 X
________ ________ ________ ________
Y 0.000
M1 0.000 0.000
M2 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
ALPHA
Y M1 M2 X
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
BETA
Y M1 M2 X
________ ________ ________ ________
Y 0.000 0.500 0.300 0.000
M1 0.000 0.000 0.000 0.500
M2 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
Y M1 M2 X
________ ________ ________ ________
Y 0.227
M1 0.000 0.750
M2 0.000 0.433 1.000
X 0.000 0.000 0.000 1.000
SAVEDATA INFORMATION
Order of variables
Y
M1
M2
X
Save file
twomrep*.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: 15:04:02
Ending Time: 15:04:05
Elapsed Time: 00:00:03
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