Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016 7:07 PM
INPUT INSTRUCTIONS
TITLE: 1 y plus 1 auxiliary z
listwise in a mediation model
data:
file = medreplist.dat;
type = MONTECARLO;
! listwise = on;
variable:
NAMES ARE y m z x;
usev = y m x;
missing = y(999);
auxiliary = z(m);
MODEL:
y on m*.5 x*0;
m on x*.7;
y*.75;
m*.51;
[y*0];
[m*0];
model indirect:
y ind x;
OUTPUT: patterns TECH1;
*** WARNING in OUTPUT command
PATTERNS option is the default for MONTECARLO.
*** WARNING in OUTPUT command
TECH1 option is the default for MONTECARLO.
2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS
1 y plus 1 auxiliary z
listwise in a mediation model
SUMMARY OF ANALYSIS
Number of groups 1
Average number of observations 200
Number of replications
Requested 500
Completed 500
Number of dependent variables 2
Number of independent variables 1
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M
Observed independent variables
X
Observed auxiliary variables
Z
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
Input data file(s)
Multiple data files from
medreplist.dat
Input data format FREE
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
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 X
________ ________ ________
Y 0.755
M 0.755 1.000
X 0.755 1.000 1.000
SAMPLE STATISTICS
NOTE: These are average results over 500 data sets.
ESTIMATED SAMPLE STATISTICS
Means
Y M X
________ ________ ________
1 0.170 0.349 0.498
Covariances
Y M X
________ ________ ________
Y 0.910
M 0.320 0.630
X 0.088 0.173 0.249
Correlations
Y M X
________ ________ ________
Y 1.000
M 0.423 1.000
X 0.185 0.436 1.000
MODEL FIT INFORMATION
Number of Free Parameters 7
Loglikelihood Including the Auxiliary Part
H0 Value
Mean -687.350
Std Dev 17.099
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 -727.127 -726.771
0.980 0.976 -722.466 -722.994
0.950 0.948 -715.476 -716.154
0.900 0.908 -709.264 -708.547
0.800 0.822 -701.741 -700.774
0.700 0.696 -696.317 -696.432
0.500 0.484 -687.350 -687.876
0.300 0.280 -678.384 -679.316
0.200 0.194 -672.960 -673.130
0.100 0.098 -665.436 -665.774
0.050 0.048 -659.224 -659.561
0.020 0.028 -652.234 -649.795
0.010 0.014 -647.573 -645.635
H1 Value
Mean -687.350
Std Dev 17.099
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.992 -727.127 -726.771
0.980 0.976 -722.466 -722.994
0.950 0.948 -715.476 -716.154
0.900 0.908 -709.264 -708.547
0.800 0.822 -701.741 -700.774
0.700 0.696 -696.317 -696.432
0.500 0.484 -687.350 -687.876
0.300 0.280 -678.384 -679.316
0.200 0.194 -672.960 -673.130
0.100 0.098 -665.436 -665.774
0.050 0.048 -659.224 -659.561
0.020 0.028 -652.234 -649.795
0.010 0.014 -647.573 -645.635
Information Criteria Including the Auxiliary Part
Number of Free Parameters 14
Akaike (AIC)
Mean 1402.701
Std Dev 34.198
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 1323.146 1310.449
0.980 0.972 1332.469 1325.567
0.950 0.952 1346.449 1346.933
0.900 0.902 1358.873 1358.663
0.800 0.806 1373.920 1374.040
0.700 0.720 1384.767 1386.548
0.500 0.516 1402.701 1403.513
0.300 0.304 1420.634 1420.862
0.200 0.178 1431.481 1428.533
0.100 0.092 1446.529 1444.229
0.050 0.052 1458.953 1459.055
0.020 0.024 1472.933 1473.817
0.010 0.008 1482.255 1481.097
Bayesian (BIC)
Mean 1448.877
Std Dev 34.198
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 1369.323 1356.625
0.980 0.972 1378.645 1371.743
0.950 0.952 1392.625 1393.109
0.900 0.902 1405.049 1404.840
0.800 0.806 1420.096 1420.216
0.700 0.720 1430.944 1432.725
0.500 0.516 1448.877 1449.690
0.300 0.304 1466.810 1467.039
0.200 0.178 1477.658 1474.710
0.100 0.092 1492.705 1490.406
0.050 0.052 1505.129 1505.231
0.020 0.024 1519.109 1519.993
0.010 0.008 1528.431 1527.273
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 1404.524
Std Dev 34.198
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 1324.969 1312.272
0.980 0.972 1334.292 1327.390
0.950 0.952 1348.272 1348.756
0.900 0.902 1360.696 1360.486
0.800 0.806 1375.743 1375.863
0.700 0.720 1386.590 1388.371
0.500 0.516 1404.524 1405.336
0.300 0.304 1422.457 1422.685
0.200 0.178 1433.304 1430.356
0.100 0.092 1448.352 1446.052
0.050 0.052 1460.776 1460.878
0.020 0.024 1474.756 1475.640
0.010 0.008 1484.078 1482.920
Chi-Square Test of Model Fit
Degrees of freedom 0
Mean 0.000
Std Dev 0.000
Number of successful computations 500
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 500
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 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.976 1.000 1.000
0.980 0.974 1.000 1.000
0.950 0.972 1.000 1.000
0.900 0.966 1.000 1.000
0.800 0.958 1.000 1.000
0.700 0.948 1.000 1.000
0.500 0.934 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 500
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 0.000
Std Dev 0.000
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.000 0.000
0.980 1.000 0.000 0.000
0.950 0.992 0.000 0.000
0.900 0.944 0.000 0.000
0.800 0.810 0.000 0.000
0.700 0.668 0.000 0.000
0.500 0.422 0.000 0.000
0.300 0.256 0.000 0.000
0.200 0.172 0.000 0.000
0.100 0.094 0.000 0.000
0.050 0.066 0.000 0.000
0.020 0.042 0.000 0.000
0.010 0.030 0.000 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
Y ON
M 0.500 0.5075 0.0966 0.0930 0.0094 0.946 0.998
X 0.000 0.0019 0.1409 0.1435 0.0198 0.962 0.038
M ON
X 0.700 0.6941 0.0987 0.1009 0.0098 0.960 1.000
Intercepts
Y 0.000 -0.0080 0.0933 0.0915 0.0087 0.944 0.056
M 0.000 0.0027 0.0684 0.0712 0.0047 0.960 0.040
Residual Variances
Y 0.750 0.7390 0.0869 0.0834 0.0077 0.928 1.000
M 0.510 0.5081 0.0520 0.0508 0.0027 0.942 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.491E-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 0.3537 0.1339 0.1380 0.0179 0.952 0.716
Tot indirect 0.350 0.3518 0.0819 0.0831 0.0067 0.946 0.998
Specific indirect
Y
M
X 0.350 0.3518 0.0819 0.0831 0.0067 0.946 0.998
Direct
Y
X 0.000 0.0019 0.1409 0.1435 0.0198 0.962 0.038
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M X
________ ________ ________
1 0 0 0
LAMBDA
Y M X
________ ________ ________
Y 0 0 0
M 0 0 0
X 0 0 0
THETA
Y M X
________ ________ ________
Y 0
M 0 0
X 0 0 0
ALPHA
Y M X
________ ________ ________
1 1 2 0
BETA
Y M X
________ ________ ________
Y 0 3 4
M 0 0 5
X 0 0 0
PSI
Y M X
________ ________ ________
Y 6
M 0 7
X 0 0 0
STARTING VALUES
NU
Y M X
________ ________ ________
1 0.000 0.000 0.000
LAMBDA
Y M X
________ ________ ________
Y 1.000 0.000 0.000
M 0.000 1.000 0.000
X 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
Y M X
________ ________ ________
1 0.076 -0.079 0.515
BETA
Y M X
________ ________ ________
Y 0.000 0.406 0.062
M 0.000 0.000 0.798
X 0.000 0.000 0.000
PSI
Y M X
________ ________ ________
Y 0.761
M 0.000 0.534
X 0.000 0.000 0.250
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 19:07:11
Ending Time: 19:07:14
Elapsed Time: 00:00:03
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