Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016 7:06 PM
INPUT INSTRUCTIONS
TITLE: 1 y plus 1 auxiliary z
y and z modeled together in a mediation model
z correlated with m
x is randomized tx/ctrl and uncorr with z
MONTECARLO:
NAMES ARE y m x z;
NOBSERVATIONS = 200;
NREPS = 500;
cutpoints = x(0);
missing = y;
repsave = all;
save = medrep*.dat;
MODEL POPULATION:
x@1;
y on m*.5 x*0;
y*.75;
m on x*.7;
m*.51;
z*1;
y with z*.5;
m with z*.5;
MODEL MISSING:
[y@-2];
y ON z@2;
MODEL:
y on m*.5 x*0;
y*.75;
m on x*.7;
m*.51;
z*1;
y with z*.5;
m with z*.5;
model indirect:
y ind x;
OUTPUT: TECH9;
INPUT READING TERMINATED NORMALLY
1 y plus 1 auxiliary z
y and z modeled together in a mediation model
z correlated with m
x is randomized tx/ctrl and uncorr with z
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 3
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M Z
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
Maximum number of iterations for H1 2000
Convergence criterion for H1 0.100D-03
SUMMARY OF DATA FOR THE FIRST REPLICATION
Number of missing data patterns 2
SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION
MISSING DATA PATTERNS (x = not missing)
1 2
Y x
M x x
Z x x
X x x
MISSING DATA PATTERN FREQUENCIES
Pattern Frequency Pattern Frequency
1 151 2 49
COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION
Minimum covariance coverage value 0.100
PROPORTION OF DATA PRESENT
Covariance Coverage
Y M Z X
________ ________ ________ ________
Y 0.755
M 0.755 1.000
Z 0.755 1.000 1.000
X 0.755 1.000 1.000 1.000
SAMPLE STATISTICS FOR THE FIRST REPLICATION
ESTIMATED SAMPLE STATISTICS
Means
Y M Z X
________ ________ ________ ________
1 0.242 0.332 0.026 0.515
Covariances
Y M Z X
________ ________ ________ ________
Y 0.887
M 0.294 0.693
Z 0.679 0.505 0.895
X 0.096 0.199 0.026 0.250
Correlations
Y M Z X
________ ________ ________ ________
Y 1.000
M 0.375 1.000
Z 0.763 0.641 1.000
X 0.205 0.479 0.054 1.000
MAXIMUM LOG-LIKELIHOOD VALUE FOR THE UNRESTRICTED (H1) MODEL IS -685.427
MODEL FIT INFORMATION
Number of Free Parameters 11
Loglikelihood
H0 Value
Mean -543.199
Std Dev 17.137
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -583.064 -582.874
0.980 0.978 -578.392 -579.118
0.950 0.946 -571.387 -572.140
0.900 0.910 -565.161 -564.151
0.800 0.818 -557.621 -556.449
0.700 0.704 -552.185 -551.964
0.500 0.480 -543.199 -543.916
0.300 0.284 -534.212 -535.318
0.200 0.196 -528.776 -528.973
0.100 0.098 -521.236 -521.423
0.050 0.050 -515.010 -515.152
0.020 0.026 -508.005 -504.970
0.010 0.014 -503.333 -501.291
H1 Value
Mean -542.705
Std Dev 17.104
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.990 -582.494 -582.507
0.980 0.976 -577.831 -579.017
0.950 0.948 -570.839 -571.252
0.900 0.910 -564.626 -563.549
0.800 0.816 -557.100 -556.255
0.700 0.706 -551.675 -551.595
0.500 0.486 -542.705 -543.794
0.300 0.280 -533.736 -534.761
0.200 0.194 -528.311 -528.814
0.100 0.102 -520.785 -520.745
0.050 0.050 -514.572 -515.148
0.020 0.026 -507.580 -504.772
0.010 0.014 -502.917 -500.727
Information Criteria
Akaike (AIC)
Mean 1108.397
Std Dev 34.273
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 1028.667 1015.816
0.980 0.974 1038.010 1031.604
0.950 0.950 1052.021 1051.263
0.900 0.902 1064.472 1064.288
0.800 0.804 1079.553 1079.557
0.700 0.716 1090.424 1092.375
0.500 0.520 1108.397 1109.767
0.300 0.296 1126.370 1125.675
0.200 0.182 1137.241 1134.722
0.100 0.090 1152.322 1150.026
0.050 0.054 1164.773 1165.237
0.020 0.022 1178.784 1180.102
0.010 0.006 1188.127 1185.944
Bayesian (BIC)
Mean 1144.678
Std Dev 34.273
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 1064.948 1052.097
0.980 0.974 1074.291 1067.886
0.950 0.950 1088.302 1087.545
0.900 0.902 1100.754 1100.570
0.800 0.804 1115.834 1115.838
0.700 0.716 1126.706 1128.657
0.500 0.520 1144.678 1146.048
0.300 0.296 1162.651 1161.957
0.200 0.182 1173.523 1171.004
0.100 0.090 1188.603 1186.308
0.050 0.054 1201.055 1201.519
0.020 0.022 1215.066 1216.384
0.010 0.006 1224.409 1222.226
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 1109.829
Std Dev 34.273
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 1030.099 1017.248
0.980 0.974 1039.442 1033.037
0.950 0.950 1053.453 1052.695
0.900 0.902 1065.905 1065.721
0.800 0.804 1080.985 1080.989
0.700 0.716 1091.856 1093.808
0.500 0.520 1109.829 1111.199
0.300 0.296 1127.802 1127.108
0.200 0.182 1138.674 1136.155
0.100 0.090 1153.754 1151.459
0.050 0.054 1166.206 1166.670
0.020 0.022 1180.217 1181.534
0.010 0.006 1189.559 1187.377
Chi-Square Test of Model Fit
Degrees of freedom 1
Mean 0.986
Std Dev 1.357
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.988 0.000 0.000
0.980 0.980 0.001 0.000
0.950 0.942 0.004 0.003
0.900 0.898 0.016 0.015
0.800 0.816 0.064 0.081
0.700 0.716 0.148 0.170
0.500 0.518 0.455 0.486
0.300 0.304 1.074 1.088
0.200 0.202 1.642 1.666
0.100 0.090 2.706 2.584
0.050 0.048 3.841 3.777
0.020 0.016 5.412 5.041
0.010 0.004 6.635 5.798
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.024
Std Dev 0.042
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.074 0.000
0.980 1.000 -0.062 0.000
0.950 1.000 -0.045 0.000
0.900 1.000 -0.030 0.000
0.800 1.000 -0.012 0.000
0.700 0.312 0.002 0.000
0.500 0.294 0.024 0.000
0.300 0.230 0.046 0.021
0.200 0.196 0.059 0.058
0.100 0.130 0.077 0.089
0.050 0.088 0.093 0.118
0.020 0.064 0.110 0.142
0.010 0.048 0.121 0.155
SRMR (Standardized Root Mean Square Residual)
Mean 0.023
Std Dev 0.017
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 -0.016 0.000
0.980 1.000 -0.012 0.001
0.950 1.000 -0.005 0.002
0.900 0.956 0.001 0.004
0.800 0.782 0.009 0.008
0.700 0.640 0.014 0.012
0.500 0.422 0.023 0.021
0.300 0.256 0.032 0.031
0.200 0.202 0.038 0.038
0.100 0.116 0.045 0.047
0.050 0.068 0.052 0.057
0.020 0.044 0.059 0.066
0.010 0.028 0.063 0.072
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
M 0.500 0.5099 0.0963 0.0930 0.0094 0.948 0.998
X 0.000 0.0017 0.1228 0.1252 0.0150 0.964 0.036
M ON
X 0.700 0.6955 0.0686 0.0719 0.0047 0.950 1.000
Y WITH
Z 0.500 0.4953 0.0613 0.0587 0.0038 0.932 1.000
M WITH
Z 0.500 0.5022 0.0640 0.0618 0.0041 0.944 1.000
Means
Z 0.000 -0.0009 0.0690 0.0707 0.0048 0.952 0.048
Intercepts
Y 0.000 -0.0088 0.0877 0.0845 0.0077 0.948 0.052
M 0.000 0.0020 0.0607 0.0619 0.0037 0.958 0.042
Variances
Z 1.000 1.0026 0.1020 0.1003 0.0104 0.934 1.000
Residual Variances
Y 0.750 0.7402 0.0872 0.0836 0.0077 0.928 1.000
M 0.510 0.5093 0.0522 0.0510 0.0027 0.942 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.236E-02
(ratio of smallest to largest eigenvalue)
TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Effects from X to Y
Total 0.350 0.3562 0.0877 0.0878 0.0077 0.952 0.992
Tot indirect 0.350 0.3545 0.0747 0.0746 0.0056 0.936 0.998
Specific indirect
Y
M
X 0.350 0.3545 0.0747 0.0746 0.0056 0.936 0.998
Direct
Y
X 0.000 0.0017 0.1228 0.1252 0.0150 0.964 0.036
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
NU
Y M Z X
________ ________ ________ ________
1 0 0 0 0
LAMBDA
Y M Z X
________ ________ ________ ________
Y 0 0 0 0
M 0 0 0 0
Z 0 0 0 0
X 0 0 0 0
THETA
Y M Z X
________ ________ ________ ________
Y 0
M 0 0
Z 0 0 0
X 0 0 0 0
ALPHA
Y M Z X
________ ________ ________ ________
1 1 2 3 0
BETA
Y M Z X
________ ________ ________ ________
Y 0 4 0 5
M 0 0 0 6
Z 0 0 0 0
X 0 0 0 0
PSI
Y M Z X
________ ________ ________ ________
Y 7
M 0 8
Z 9 10 11
X 0 0 0 0
STARTING VALUES
NU
Y M Z X
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
LAMBDA
Y M Z X
________ ________ ________ ________
Y 1.000 0.000 0.000 0.000
M 0.000 1.000 0.000 0.000
Z 0.000 0.000 1.000 0.000
X 0.000 0.000 0.000 1.000
THETA
Y M Z X
________ ________ ________ ________
Y 0.000
M 0.000 0.000
Z 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
ALPHA
Y M Z X
________ ________ ________ ________
1 0.000 0.000 0.000 0.515
BETA
Y M Z X
________ ________ ________ ________
Y 0.000 0.500 0.000 0.000
M 0.000 0.000 0.000 0.700
Z 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
Y M Z X
________ ________ ________ ________
Y 0.750
M 0.000 0.510
Z 0.500 0.500 1.000
X 0.000 0.000 0.000 0.250
POPULATION VALUES
NU
Y M Z X
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
LAMBDA
Y M Z X
________ ________ ________ ________
Y 1.000 0.000 0.000 0.000
M 0.000 1.000 0.000 0.000
Z 0.000 0.000 1.000 0.000
X 0.000 0.000 0.000 1.000
THETA
Y M Z X
________ ________ ________ ________
Y 0.000
M 0.000 0.000
Z 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
ALPHA
Y M Z X
________ ________ ________ ________
1 0.000 0.000 0.000 0.000
BETA
Y M Z X
________ ________ ________ ________
Y 0.000 0.500 0.000 0.000
M 0.000 0.000 0.000 0.700
Z 0.000 0.000 0.000 0.000
X 0.000 0.000 0.000 0.000
PSI
Y M Z X
________ ________ ________ ________
Y 0.750
M 0.000 0.510
Z 0.500 0.500 1.000
X 0.000 0.000 0.000 1.000
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y
M
Z
X
Save file
medrep*.dat
Save file format Free
Save file record length 10000
Missing designated by 999
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 19:06:26
Ending Time: 19:06:28
Elapsed Time: 00:00:02
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