Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:22 PM
INPUT INSTRUCTIONS
TITLE:
simulating z moderation of binary x to m using a random slope
MONTECARLO:
NAMES = y m x z;
NOBSERVATIONS = 150;
NREPS = 1;
SAVE = ex3.18.dat;
CUTPOINTS = x(0);
MODEL POPULATION:
x-z@1;
x WITH z@0;
y ON m*.5 x*0 z*0;
gamma1 | m ON x;
[gamma1*-.4];
gamma1 ON z*-.2;
gamma1@0;
m ON z*.1;
y*.5;
m*1;
ANALYSIS:
TYPE = RANDOM;
MODEL:
y ON m*.5 (b)
x z;
gamma1 | m ON x;
[gamma1*-.4] (gamma1);
gamma1 ON z*-.2 (gamma2);
gamma1@0;
m ON z*.1;
y*.5;
m*1;
MODEL CONSTRAINT:
NEW(indavg*-0.20 indlow*-.10 indhigh*-.25);
indavg = b*gamma1;
indlow = b*(gamma1-gamma2);
indhigh = b*(gamma1+gamma2);
INPUT READING TERMINATED NORMALLY
simulating z moderation of binary x to m using a random slope
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 150
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 2
Number of independent variables 2
Number of continuous latent variables 1
Observed dependent variables
Continuous
Y M
Observed independent variables
X Z
Continuous latent variables
GAMMA1
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 Z
________ ________ ________ ________
-0.162 -0.223 0.573 0.085
Covariances
Y M X Z
________ ________ ________ ________
Y 0.709
M 0.501 1.001
X -0.005 -0.079 0.245
Z 0.011 -0.103 0.024 0.936
Correlations
Y M X Z
________ ________ ________ ________
Y 1.000
M 0.595 1.000
X -0.012 -0.160 1.000
Z 0.013 -0.106 0.051 1.000
MODEL FIT INFORMATION
Number of Free Parameters 10
Loglikelihood
H0 Value
Mean -362.492
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -362.492 -362.492
0.980 0.000 -362.492 -362.492
0.950 0.000 -362.492 -362.492
0.900 0.000 -362.492 -362.492
0.800 0.000 -362.492 -362.492
0.700 0.000 -362.492 -362.492
0.500 0.000 -362.492 -362.492
0.300 0.000 -362.492 -362.492
0.200 0.000 -362.492 -362.492
0.100 0.000 -362.492 -362.492
0.050 0.000 -362.492 -362.492
0.020 0.000 -362.492 -362.492
0.010 0.000 -362.492 -362.492
Information Criteria
Akaike (AIC)
Mean 744.985
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 744.985 744.985
0.980 0.000 744.985 744.985
0.950 0.000 744.985 744.985
0.900 0.000 744.985 744.985
0.800 0.000 744.985 744.985
0.700 0.000 744.985 744.985
0.500 0.000 744.985 744.985
0.300 0.000 744.985 744.985
0.200 0.000 744.985 744.985
0.100 0.000 744.985 744.985
0.050 0.000 744.985 744.985
0.020 0.000 744.985 744.985
0.010 0.000 744.985 744.985
Bayesian (BIC)
Mean 775.091
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 775.091 775.091
0.980 0.000 775.091 775.091
0.950 0.000 775.091 775.091
0.900 0.000 775.091 775.091
0.800 0.000 775.091 775.091
0.700 0.000 775.091 775.091
0.500 0.000 775.091 775.091
0.300 0.000 775.091 775.091
0.200 0.000 775.091 775.091
0.100 0.000 775.091 775.091
0.050 0.000 775.091 775.091
0.020 0.000 775.091 775.091
0.010 0.000 775.091 775.091
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 743.443
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 743.443 743.443
0.980 0.000 743.443 743.443
0.950 0.000 743.443 743.443
0.900 0.000 743.443 743.443
0.800 0.000 743.443 743.443
0.700 0.000 743.443 743.443
0.500 0.000 743.443 743.443
0.300 0.000 743.443 743.443
0.200 0.000 743.443 743.443
0.100 0.000 743.443 743.443
0.050 0.000 743.443 743.443
0.020 0.000 743.443 743.443
0.010 0.000 743.443 743.443
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
GAMMA1 ON
Z -0.200 -0.1738 0.0000 0.1776 0.0007 1.000 0.000
Y ON
M 0.500 0.5182 0.0000 0.0563 0.0003 1.000 1.000
X 0.000 0.1412 0.0000 0.1136 0.0199 1.000 0.000
Z 0.000 0.0647 0.0000 0.0536 0.0042 1.000 0.000
M ON
Z 0.100 -0.0003 0.0000 0.1539 0.0101 1.000 0.000
Intercepts
Y 0.000 -0.1330 0.0000 0.0869 0.0177 1.000 0.000
M 0.000 -0.0379 0.0000 0.1246 0.0014 1.000 0.000
GAMMA1 -0.400 -0.3006 0.0000 0.1643 0.0099 1.000 0.000
Residual Variances
Y 0.500 0.4490 0.0000 0.0671 0.0026 1.000 1.000
M 1.000 0.9591 0.0000 0.1021 0.0017 1.000 1.000
GAMMA1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
New/Additional Parameters
INDAVG -0.200 -0.1558 0.0000 0.0861 0.0020 1.000 0.000
INDLOW -0.100 -0.0657 0.0000 0.1349 0.0012 1.000 0.000
INDHIGH -0.250 -0.2458 0.0000 0.1133 0.0000 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.258E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL 1 OUTPUT
PARAMETER SPECIFICATION
NU
Y M X Z
________ ________ ________ ________
0 0 0 0
LAMBDA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
Y 0 0 0 0 0
M 0 0 0 0 0
X 0 0 0 0 0
Z 0 0 0 0 0
THETA
Y M X Z
________ ________ ________ ________
Y 0
M 0 0
X 0 0 0
Z 0 0 0 0
ALPHA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
1 2 3 0 0
BETA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
GAMMA1 0 0 0 0 4
Y 0 0 5 6 7
M 0 0 0 0 8
X 0 0 0 0 0
Z 0 0 0 0 0
PSI
GAMMA1 Y M X Z
________ ________ ________ ________ ________
GAMMA1 0
Y 0 9
M 0 0 10
X 0 0 0 0
Z 0 0 0 0 0
PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS
NEW/ADDITIONAL PARAMETERS
INDAVG INDLOW INDHIGH
________ ________ ________
11 12 13
STARTING VALUES
NU
Y M X Z
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
Y 0.000 1.000 0.000 0.000 0.000
M 0.000 0.000 1.000 0.000 0.000
X 0.000 0.000 0.000 1.000 0.000
Z 0.000 0.000 0.000 0.000 1.000
THETA
Y M X Z
________ ________ ________ ________
Y 0.000
M 0.000 0.000
X 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000
ALPHA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
-0.400 0.000 0.000 0.000 0.000
BETA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
GAMMA1 0.000 0.000 0.000 0.000 -0.200
Y 0.000 0.000 0.500 0.000 0.000
M 0.000 0.000 0.000 0.000 0.100
X 0.000 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000 0.000
PSI
GAMMA1 Y M X Z
________ ________ ________ ________ ________
GAMMA1 0.000
Y 0.000 0.500
M 0.000 0.000 1.000
X 0.000 0.000 0.000 0.500
Z 0.000 0.000 0.000 0.000 0.500
STARTING VALUES FOR THE ADDITIONAL PARAMETERS
NEW/ADDITIONAL PARAMETERS
INDAVG INDLOW INDHIGH
________ ________ ________
-0.200 -0.100 -0.250
POPULATION VALUES
NU
Y M X Z
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
Y 0.000 1.000 0.000 0.000 0.000
M 0.000 0.000 1.000 0.000 0.000
X 0.000 0.000 0.000 1.000 0.000
Z 0.000 0.000 0.000 0.000 1.000
THETA
Y M X Z
________ ________ ________ ________
Y 0.000
M 0.000 0.000
X 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000
ALPHA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
-0.400 0.000 0.000 0.000 0.000
BETA
GAMMA1 Y M X Z
________ ________ ________ ________ ________
GAMMA1 0.000 0.000 0.000 0.000 -0.200
Y 0.000 0.000 0.500 0.000 0.000
M 0.000 0.000 0.000 0.000 0.100
X 0.000 0.000 0.000 0.000 0.000
Z 0.000 0.000 0.000 0.000 0.000
PSI
GAMMA1 Y M X Z
________ ________ ________ ________ ________
GAMMA1 0.000
Y 0.000 0.500
M 0.000 0.000 1.000
X 0.000 0.000 0.000 1.000
Z 0.000 0.000 0.000 0.000 1.000
SAVEDATA INFORMATION
Order of variables
Y
M
X
Z
Save file
ex3.18.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:22:34
Ending Time: 22:22:34
Elapsed Time: 00:00:00
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