Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016 3:02 PM
INPUT INSTRUCTIONS
title:
montecarlo:
names = y m x;
nobs = 400;
nreps = 500;
repsave = all;
save = xtoyrep*.dat;
cutpoints = x(0);
model population:
x@1;
y on x*.2;
beta1 | y on m;
beta1 on x*.2;
[beta1*.3];
beta1@0;
m on x*.5;
y*.75;
m*.75;
analysis:
type = random;
model:
y on x*.2;
beta1 | y on m;
beta1 on x*.2;
[beta1*.3];
beta1@0;
m on x*.5;
y*.75;
m*.75;
[y*0];
[m*0];
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 2
Number of independent variables 1
Number of continuous latent variables 1
Observed dependent variables
Continuous
Y M
Observed independent variables
X
Continuous latent variables
BETA1
Estimator MLR
Information matrix OBSERVED
Maximum number of iterations 100
Convergence criterion 0.100D-05
Maximum number of EM iterations 500
Convergence criteria for the EM algorithm
Loglikelihood change 0.100D-02
Relative loglikelihood change 0.100D-05
Derivative 0.100D-03
Minimum variance 0.100D-03
Maximum number of steepest descent iterations 20
Optimization algorithm EMA
SAMPLE STATISTICS FOR THE FIRST REPLICATION
ESTIMATED SAMPLE STATISTICS
Means
Y M X
________ ________ ________
1 0.292 0.283 0.540
Covariances
Y M X
________ ________ ________
Y 0.868
M 0.401 0.806
X 0.084 0.124 0.248
Correlations
Y M X
________ ________ ________
Y 1.000
M 0.480 1.000
X 0.182 0.277 1.000
MODEL FIT INFORMATION
Number of Free Parameters 8
Loglikelihood
H0 Value
Mean -1016.425
Std Dev 20.238
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -1063.503 -1061.959
0.980 0.984 -1057.987 -1057.019
0.950 0.958 -1049.713 -1048.431
0.900 0.906 -1042.361 -1042.153
0.800 0.790 -1033.457 -1034.825
0.700 0.682 -1027.037 -1027.674
0.500 0.510 -1016.425 -1016.044
0.300 0.290 -1005.812 -1006.200
0.200 0.208 -999.393 -998.894
0.100 0.096 -990.488 -990.952
0.050 0.056 -983.136 -980.990
0.020 0.020 -974.863 -974.989
0.010 0.010 -969.346 -971.857
Information Criteria
Akaike (AIC)
Mean 2048.849
Std Dev 40.475
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1954.692 1949.780
0.980 0.980 1965.726 1965.618
0.950 0.944 1982.272 1977.373
0.900 0.904 1996.977 1997.052
0.800 0.792 2014.786 2013.502
0.700 0.710 2027.624 2028.317
0.500 0.490 2048.849 2047.888
0.300 0.318 2070.075 2071.296
0.200 0.210 2082.913 2084.764
0.100 0.094 2100.722 2099.934
0.050 0.042 2115.427 2111.983
0.020 0.016 2131.973 2129.105
0.010 0.006 2143.007 2139.281
Bayesian (BIC)
Mean 2080.781
Std Dev 40.475
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1986.624 1981.712
0.980 0.980 1997.658 1997.549
0.950 0.944 2014.204 2009.305
0.900 0.904 2028.908 2028.983
0.800 0.792 2046.717 2045.433
0.700 0.710 2059.556 2060.249
0.500 0.490 2080.781 2079.820
0.300 0.318 2102.006 2103.228
0.200 0.210 2114.845 2116.695
0.100 0.094 2132.654 2131.865
0.050 0.042 2147.359 2143.915
0.020 0.016 2163.905 2161.036
0.010 0.006 2174.938 2171.213
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 2055.397
Std Dev 40.475
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 1961.240 1956.327
0.980 0.980 1972.273 1972.165
0.950 0.944 1988.819 1983.920
0.900 0.904 2003.524 2003.599
0.800 0.792 2021.333 2020.049
0.700 0.710 2034.172 2034.864
0.500 0.490 2055.397 2054.435
0.300 0.318 2076.622 2077.843
0.200 0.210 2089.460 2091.311
0.100 0.094 2107.269 2106.481
0.050 0.042 2121.974 2118.531
0.020 0.016 2138.520 2135.652
0.010 0.006 2149.554 2145.828
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
BETA1 ON
X 0.200 0.2005 0.1012 0.0996 0.0102 0.956 0.506
Y ON
X 0.200 0.2028 0.0978 0.0936 0.0095 0.938 0.568
M ON
X 0.500 0.5013 0.0850 0.0864 0.0072 0.940 1.000
Intercepts
Y 0.000 -0.0006 0.0612 0.0612 0.0037 0.950 0.050
M 0.000 0.0028 0.0591 0.0612 0.0035 0.960 0.040
BETA1 0.300 0.3011 0.0698 0.0700 0.0049 0.958 0.990
Residual Variances
Y 0.750 0.7451 0.0557 0.0522 0.0031 0.928 1.000
M 0.750 0.7449 0.0500 0.0524 0.0025 0.958 1.000
BETA1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.507E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M X
________ ________ ________
1 0 0 0
LAMBDA
BETA1 Y M X
________ ________ ________ ________
Y 0 0 0 0
M 0 0 0 0
X 0 0 0 0
THETA
Y M X
________ ________ ________
Y 0
M 0 0
X 0 0 0
ALPHA
BETA1 Y M X
________ ________ ________ ________
1 1 2 3 0
BETA
BETA1 Y M X
________ ________ ________ ________
BETA1 0 0 0 4
Y 0 0 0 5
M 0 0 0 6
X 0 0 0 0
PSI
BETA1 Y M X
________ ________ ________ ________
BETA1 0
Y 0 7
M 0 0 8
X 0 0 0 0
STARTING VALUES
NU
Y M X
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
BETA1 Y M X
________ ________ ________ ________
Y 0.000 1.000 0.000 0.000
M 0.000 0.000 1.000 0.000
X 0.000 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
BETA1 Y M X
________ ________ ________ ________
1 0.300 0.000 0.000 0.000
BETA
BETA1 Y M X
________ ________ ________ ________
BETA1 0.000 0.000 0.000 0.200
Y 0.000 0.000 0.000 0.200
M 0.000 0.000 0.000 0.500
X 0.000 0.000 0.000 0.000
PSI
BETA1 Y M X
________ ________ ________ ________
BETA1 0.000
Y 0.000 0.750
M 0.000 0.000 0.750
X 0.000 0.000 0.000 0.500
POPULATION VALUES
NU
Y M X
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
BETA1 Y M X
________ ________ ________ ________
Y 0.000 1.000 0.000 0.000
M 0.000 0.000 1.000 0.000
X 0.000 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
BETA1 Y M X
________ ________ ________ ________
1 0.300 0.000 0.000 0.000
BETA
BETA1 Y M X
________ ________ ________ ________
BETA1 0.000 0.000 0.000 0.200
Y 0.000 0.000 0.000 0.200
M 0.000 0.000 0.000 0.500
X 0.000 0.000 0.000 0.000
PSI
BETA1 Y M X
________ ________ ________ ________
BETA1 0.000
Y 0.000 0.750
M 0.000 0.000 0.750
X 0.000 0.000 0.000 1.000
SAVEDATA INFORMATION
Order of variables
Y
M
X
Save file
xtoyrep*.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: 15:02:34
Ending Time: 15:03:17
Elapsed Time: 00:00:43
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