Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016 7:06 PM
INPUT INSTRUCTIONS
TITLE: 1 y plus 1 auxiliary z
including z as if having a substantive role
data:
file = medreplist.dat;
type = MONTECARLO;
variable:
NAMES ARE y m z x;
usev = y m z x;
missing = y(999);
MODEL:
y on m*.5 x*0 z*0;
m on x*.7 z*0;
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
including z as if having a substantive role
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 2
Number of continuous latent variables 0
Observed dependent variables
Continuous
Y M
Observed independent variables
Z 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
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
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
NOTE: These are average results over 500 data sets.
ESTIMATED SAMPLE STATISTICS
Means
Y M Z X
________ ________ ________ ________
1 0.170 0.349 -0.001 0.498
Covariances
Y M Z X
________ ________ ________ ________
Y 0.910
M 0.320 0.630
Z 0.754 0.502 1.003
X 0.088 0.173 -0.001 0.249
Correlations
Y M Z X
________ ________ ________ ________
Y 1.000
M 0.423 1.000
Z 0.789 0.631 1.000
X 0.185 0.436 -0.002 1.000
MODEL FIT INFORMATION
Number of Free Parameters 9
Loglikelihood
H0 Value
Mean -259.670
Std Dev 14.625
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -293.691 -290.343
0.980 0.988 -289.705 -287.535
0.950 0.948 -283.726 -284.012
0.900 0.906 -278.413 -278.167
0.800 0.802 -271.978 -272.105
0.700 0.684 -267.339 -267.694
0.500 0.494 -259.670 -259.885
0.300 0.284 -252.001 -252.823
0.200 0.192 -247.362 -248.279
0.100 0.100 -240.927 -240.986
0.050 0.052 -235.614 -235.511
0.020 0.024 -229.635 -228.324
0.010 0.014 -225.648 -225.344
H1 Value
Mean -259.670
Std Dev 14.625
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.994 -293.691 -290.343
0.980 0.988 -289.705 -287.535
0.950 0.948 -283.726 -284.012
0.900 0.906 -278.413 -278.167
0.800 0.802 -271.978 -272.105
0.700 0.684 -267.339 -267.694
0.500 0.494 -259.670 -259.885
0.300 0.284 -252.001 -252.823
0.200 0.192 -247.362 -248.279
0.100 0.100 -240.927 -240.986
0.050 0.052 -235.614 -235.511
0.020 0.024 -229.635 -228.324
0.010 0.014 -225.648 -225.344
Information Criteria
Akaike (AIC)
Mean 537.340
Std Dev 29.249
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 469.297 465.200
0.980 0.976 477.270 473.506
0.950 0.948 489.227 488.376
0.900 0.900 499.854 499.208
0.800 0.808 512.723 513.938
0.700 0.716 522.001 523.564
0.500 0.506 537.340 537.554
0.300 0.316 552.678 553.378
0.200 0.198 561.956 561.758
0.100 0.094 574.826 574.099
0.050 0.052 585.452 585.464
0.020 0.012 597.409 592.774
0.010 0.006 605.383 598.664
Bayesian (BIC)
Mean 567.025
Std Dev 29.249
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 498.982 494.885
0.980 0.976 506.955 503.191
0.950 0.948 518.912 518.061
0.900 0.900 529.539 528.893
0.800 0.808 542.408 543.622
0.700 0.716 551.686 553.249
0.500 0.506 567.025 567.239
0.300 0.316 582.363 583.063
0.200 0.198 591.641 591.443
0.100 0.094 604.511 603.784
0.050 0.052 615.137 615.149
0.020 0.012 627.094 622.458
0.010 0.006 635.067 628.349
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 538.512
Std Dev 29.249
Number of successful computations 500
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.986 470.469 466.372
0.980 0.976 478.442 474.678
0.950 0.948 490.399 489.548
0.900 0.900 501.026 500.380
0.800 0.808 513.895 515.110
0.700 0.716 523.173 524.736
0.500 0.506 538.512 538.726
0.300 0.316 553.850 554.550
0.200 0.198 563.128 562.930
0.100 0.094 575.998 575.271
0.050 0.052 586.624 586.636
0.020 0.012 598.581 593.946
0.010 0.006 606.555 599.836
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 0.980 1.000 1.000
0.980 0.962 1.000 1.000
0.950 0.932 1.000 1.000
0.900 0.894 1.000 1.000
0.800 0.814 1.000 1.000
0.700 0.756 1.000 1.000
0.500 0.590 1.000 1.000
0.300 0.326 1.000 1.000
0.200 0.170 1.000 1.000
0.100 0.046 1.000 1.000
0.050 0.020 1.000 1.000
0.020 0.006 1.000 1.000
0.010 0.002 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 0.998 0.000 0.000
0.950 0.980 0.000 0.000
0.900 0.924 0.000 0.000
0.800 0.798 0.000 0.000
0.700 0.696 0.000 0.000
0.500 0.450 0.000 0.000
0.300 0.256 0.000 0.000
0.200 0.184 0.000 0.000
0.100 0.094 0.000 0.000
0.050 0.048 0.000 0.000
0.020 0.032 0.000 0.000
0.010 0.022 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 -0.4572 0.0826 0.0802 0.9231 0.000 0.998
X 0.000 0.6744 0.0980 0.0987 0.4644 0.000 1.000
Z 0.000 0.9812 0.0663 0.0621 0.9672 0.000 1.000
M ON
X 0.700 0.6955 0.0686 0.0719 0.0047 0.950 1.000
Z 0.000 0.5008 0.0371 0.0359 0.2522 0.000 1.000
Intercepts
Y 0.000 -0.0059 0.0622 0.0591 0.0039 0.930 0.070
M 0.000 0.0021 0.0514 0.0507 0.0026 0.950 0.050
Residual Variances
Y 0.750 0.2521 0.0302 0.0287 0.2488 0.000 1.000
M 0.510 0.2564 0.0259 0.0256 0.0650 0.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.314E-01
(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 0.3561 0.0877 0.0878 0.0077 0.952 0.992
Tot indirect 0.350 -0.3182 0.0667 0.0651 0.4510 0.000 0.998
Specific indirect
Y
M
X 0.350 -0.3182 0.0667 0.0651 0.4510 0.000 0.998
Direct
Y
X 0.000 0.6744 0.0980 0.0987 0.4644 0.000 1.000
TECHNICAL 1 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 0 0
BETA
Y M Z X
________ ________ ________ ________
Y 0 3 4 5
M 0 0 6 7
Z 0 0 0 0
X 0 0 0 0
PSI
Y M Z X
________ ________ ________ ________
Y 8
M 0 9
Z 0 0 0
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 0.026 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 0.000 0.000 0.895
X 0.000 0.000 0.026 0.250
DIAGRAM INFORMATION
Mplus diagrams are currently not available for Monte Carlo analysis.
No diagram output was produced.
Beginning Time: 19:06:36
Ending Time: 19:06:39
Elapsed Time: 00:00:03
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