Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016 7:59 PM
INPUT INSTRUCTIONS
data:
file = MARn200replist.dat;
type = montecarlo;
variable:
names = y x1-x4 z;
usev = y x1-x4 z;
define:
if(z*2 gt .5)then x1=_missing;
if(z*1 gt .25)then x2=_missing;
if(-z*1 gt .25)then x3=_missing;
if(-z*2 gt .5)then x4=_missing;
Analysis:
estimator = mlr;
Model:
y on x1-z*.5;
y*1;
x1-z*1;
INPUT READING TERMINATED NORMALLY
SUMMARY OF ANALYSIS
Number of groups 1
Average number of observations 200
Number of replications
Requested 500
Completed 500
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
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
Input data file(s)
Multiple data files from
MARn200replist.dat
Input data format FREE
SUMMARY OF DATA FOR THE FIRST REPLICATION
Number of missing data patterns 3
SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION
MISSING DATA PATTERNS (x = not missing)
1 2 3
Y x x x
X1 x x
X2 x x
X3 x x
X4 x x
Z x x x
MISSING DATA PATTERN FREQUENCIES
Pattern Frequency Pattern Frequency Pattern Frequency
1 37 2 83 3 80
COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000
X1 0.600 0.600
X2 0.600 0.600 0.600
X3 0.585 0.185 0.185 0.585
X4 0.585 0.185 0.185 0.585 0.585
Z 1.000 0.600 0.600 0.585 0.585
Covariance Coverage
Z
________
Z 1.000
SAMPLE STATISTICS
NOTE: These are average results over 500 data sets.
ESTIMATED SAMPLE STATISTICS
Means
Y X1 X2 X3 X4
________ ________ ________ ________ ________
1 0.161 0.009 0.020 0.117 0.115
Means
Z
________
1 0.002
Covariances
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 2.926
X1 1.140 1.037
X2 1.141 0.527 1.037
X3 0.363 0.170 0.173 0.193
X4 0.368 0.171 0.171 0.060 0.194
Z 1.107 0.509 0.515 0.173 0.177
Covariances
Z
________
Z 0.994
Correlations
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 1.000
X1 0.654 1.000
X2 0.655 0.508 1.000
X3 0.484 0.380 0.386 1.000
X4 0.488 0.381 0.382 0.309 1.000
Z 0.649 0.501 0.507 0.394 0.404
Correlations
Z
________
Z 1.000
MODEL FIT INFORMATION
Number of Free Parameters 27
Loglikelihood
H0 Value
Mean -985.832
Std Dev 21.823
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.996 -1036.598 -1033.414
0.980 0.982 -1030.649 -1030.625
0.950 0.950 -1021.728 -1022.505
0.900 0.904 -1013.800 -1013.737
0.800 0.784 -1004.198 -1004.872
0.700 0.694 -997.276 -997.603
0.500 0.498 -985.832 -986.055
0.300 0.288 -974.388 -974.773
0.200 0.198 -967.466 -968.346
0.100 0.092 -957.864 -958.567
0.050 0.054 -949.936 -949.186
0.020 0.030 -941.015 -937.776
0.010 0.016 -935.066 -931.848
H1 Value
Mean -985.833
Std Dev 21.824
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.996 -1036.602 -1033.414
0.980 0.980 -1030.653 -1030.719
0.950 0.950 -1021.731 -1022.505
0.900 0.904 -1013.802 -1013.737
0.800 0.784 -1004.200 -1004.872
0.700 0.694 -997.277 -997.603
0.500 0.498 -985.833 -986.055
0.300 0.288 -974.388 -974.773
0.200 0.198 -967.466 -968.346
0.100 0.092 -957.863 -958.567
0.050 0.054 -949.934 -949.186
0.020 0.030 -941.013 -937.776
0.010 0.016 -935.064 -931.848
Information Criteria
Akaike (AIC)
Mean 2025.664
Std Dev 43.645
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.984 1924.132 1917.614
0.980 0.970 1936.029 1929.514
0.950 0.946 1953.872 1951.628
0.900 0.908 1969.728 1970.386
0.800 0.802 1988.932 1988.863
0.700 0.712 2002.776 2003.467
0.500 0.502 2025.664 2025.994
0.300 0.306 2048.551 2048.919
0.200 0.216 2062.396 2063.298
0.100 0.096 2081.599 2079.858
0.050 0.050 2097.456 2097.420
0.020 0.018 2115.298 2115.187
0.010 0.004 2127.196 2118.129
Bayesian (BIC)
Mean 2114.718
Std Dev 43.645
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.984 2013.186 2006.669
0.980 0.970 2025.084 2018.569
0.950 0.946 2042.926 2040.683
0.900 0.908 2058.783 2059.441
0.800 0.802 2077.986 2077.918
0.700 0.712 2091.831 2092.521
0.500 0.502 2114.718 2115.049
0.300 0.306 2137.606 2137.973
0.200 0.216 2151.450 2152.353
0.100 0.096 2170.654 2168.912
0.050 0.050 2186.510 2186.474
0.020 0.018 2204.353 2204.242
0.010 0.004 2216.250 2207.183
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 2029.179
Std Dev 43.645
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.984 1927.648 1921.130
0.980 0.970 1939.545 1933.030
0.950 0.946 1957.387 1955.144
0.900 0.908 1973.244 1973.902
0.800 0.802 1992.448 1992.379
0.700 0.712 2006.292 2006.982
0.500 0.502 2029.179 2029.510
0.300 0.306 2052.067 2052.435
0.200 0.216 2065.911 2066.814
0.100 0.096 2085.115 2083.374
0.050 0.050 2100.972 2100.936
0.020 0.018 2118.814 2118.703
0.010 0.004 2130.711 2121.645
Chi-Square Test of Model Fit
Degrees of freedom 0
Mean 0.000
Std Dev 0.000
Number of successful computations 498
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 499
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
CFI/TLI
CFI
Mean 1.000
Std Dev 0.000
Number of successful computations 498
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 1.000 1.000
0.980 0.000 1.000 1.000
0.950 0.000 1.000 1.000
0.900 0.000 1.000 1.000
0.800 0.000 1.000 1.000
0.700 0.000 1.000 1.000
0.500 0.000 1.000 1.000
0.300 0.000 1.000 1.000
0.200 0.000 1.000 1.000
0.100 0.000 1.000 1.000
0.050 0.000 1.000 1.000
0.020 0.000 1.000 1.000
0.010 0.000 1.000 1.000
TLI
Mean 1.000
Std Dev 0.000
Number of successful computations 498
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 1.000 1.000
0.980 0.000 1.000 1.000
0.950 0.000 1.000 1.000
0.900 0.000 1.000 1.000
0.800 0.000 1.000 1.000
0.700 0.000 1.000 1.000
0.500 0.000 1.000 1.000
0.300 0.000 1.000 1.000
0.200 0.000 1.000 1.000
0.100 0.000 1.000 1.000
0.050 0.000 1.000 1.000
0.020 0.000 1.000 1.000
0.010 0.000 1.000 1.000
SRMR (Standardized Root Mean Square Residual)
Mean 0.001
Std Dev 0.004
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.007 0.000
0.980 1.000 -0.006 0.000
0.950 1.000 -0.005 0.000
0.900 1.000 -0.003 0.000
0.800 1.000 -0.002 0.000
0.700 1.000 -0.001 0.000
0.500 0.222 0.001 0.001
0.300 0.076 0.003 0.001
0.200 0.048 0.004 0.001
0.100 0.018 0.006 0.003
0.050 0.016 0.007 0.004
0.020 0.008 0.009 0.006
0.010 0.006 0.010 0.008
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
X1 0.500 0.5087 0.1474 0.1358 0.0218 0.928 0.912
X2 0.500 0.5016 0.1453 0.1380 0.0211 0.932 0.910
X3 0.500 0.4684 0.4193 0.3440 0.1764 0.904 0.366
X4 0.500 0.4970 0.4255 0.3508 0.1807 0.888 0.380
Z 0.500 0.4242 0.1581 0.1491 0.0307 0.926 0.776
X2 WITH
X1 0.000 0.5274 0.1251 0.1182 0.2937 0.002 0.998
X3 WITH
X1 0.000 0.1703 0.0735 0.0647 0.0344 0.252 0.748
X2 0.000 0.1735 0.0723 0.0657 0.0353 0.256 0.744
X4 WITH
X1 0.000 0.1715 0.0690 0.0659 0.0342 0.284 0.716
X2 0.000 0.1724 0.0735 0.0672 0.0351 0.276 0.724
X3 0.000 0.0598 0.0216 0.0233 0.0040 0.214 0.786
Z WITH
X1 0.000 0.5090 0.1326 0.1219 0.2767 0.008 0.992
X2 0.000 0.5155 0.1302 0.1205 0.2827 0.006 0.994
X3 0.000 0.1728 0.0628 0.0606 0.0338 0.184 0.816
X4 0.000 0.1776 0.0604 0.0607 0.0352 0.158 0.842
Means
X1 -0.283 0.0089 0.1067 0.1086 0.0965 0.242 0.044
X2 -0.283 0.0207 0.1140 0.1084 0.1052 0.196 0.074
X3 0.239 0.1170 0.0475 0.0466 0.0172 0.260 0.720
X4 0.179 0.1152 0.0491 0.0466 0.0065 0.680 0.686
Z 0.024 0.0016 0.0738 0.0704 0.0059 0.930 0.056
Intercepts
Y 0.276 0.0329 0.1237 0.1148 0.0746 0.444 0.074
Variances
X1 1.000 1.0377 0.1632 0.1554 0.0280 0.932 1.000
X2 1.000 1.0382 0.1551 0.1537 0.0255 0.956 1.000
X3 1.000 0.1929 0.0272 0.0269 0.6522 0.000 1.000
X4 1.000 0.1942 0.0270 0.0271 0.6500 0.000 1.000
Z 1.000 0.9944 0.1002 0.0981 0.0100 0.940 1.000
Residual Variances
Y 1.000 0.9162 0.1293 0.1234 0.0237 0.872 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.934E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 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 2 3 4 5
ALPHA
Z
________
1 6
BETA
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 0 7 8 9 10
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 11
X1 0
X2 0
X3 0
X4 0
Z 0
PSI
Y X1 X2 X3 X4
________ ________ ________ ________ ________
Y 12
X1 0 13
X2 0 14 15
X3 0 16 17 18
X4 0 19 20 21 22
Z 0 23 24 25 26
PSI
Z
________
Z 27
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 0.276 -0.283 -0.283 0.239 0.179
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 1.000
X2 0.000 0.000 1.000
X3 0.000 0.000 0.000 1.000
X4 0.000 0.000 0.000 0.000 1.000
Z 0.000 0.000 0.000 0.000 0.000
PSI
Z
________
Z 1.000
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 19:59:08
Ending Time: 19:59:14
Elapsed Time: 00:00:06
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