Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:24 PM
INPUT INSTRUCTIONS
title: this is an example of a linear growth
model for a continuous outcome with estimated time
scores
montecarlo:
names = y11-y14;
nobs = 500;
nreps = 1;
save = ex6.8.dat;
model population:
i s | y11@0 y12@1 y13*2 y14*3;
[y11-y14@0];
y11-y14*.5;
[i*.5 s*1];
i*1; s*.2; i with s*.1;
model:
i s | y11@0 y12@1 y13*2 y14*3;
y11-y14*.5;
[i*.5 s*1];
i*1; s*.2; i with s*.1;
output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a linear growth
model for a continuous outcome with estimated time
scores
SUMMARY OF ANALYSIS
Number of groups 1
Number of observations 500
Number of replications
Requested 1
Completed 1
Value of seed 0
Number of dependent variables 4
Number of independent variables 0
Number of continuous latent variables 2
Observed dependent variables
Continuous
Y11 Y12 Y13 Y14
Continuous latent variables
I S
Estimator ML
Information matrix OBSERVED
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means
Y11 Y12 Y13 Y14
________ ________ ________ ________
0.514 1.566 2.568 3.601
Covariances
Y11 Y12 Y13 Y14
________ ________ ________ ________
Y11 1.449
Y12 1.131 1.974
Y13 1.224 1.866 2.931
Y14 1.389 2.161 3.013 4.298
Correlations
Y11 Y12 Y13 Y14
________ ________ ________ ________
Y11 1.000
Y12 0.668 1.000
Y13 0.594 0.776 1.000
Y14 0.557 0.742 0.849 1.000
MODEL FIT INFORMATION
Number of Free Parameters 11
Loglikelihood
H0 Value
Mean -3016.249
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -3016.249 -3016.249
0.980 0.000 -3016.249 -3016.249
0.950 0.000 -3016.249 -3016.249
0.900 0.000 -3016.249 -3016.249
0.800 0.000 -3016.249 -3016.249
0.700 0.000 -3016.249 -3016.249
0.500 0.000 -3016.249 -3016.249
0.300 0.000 -3016.249 -3016.249
0.200 0.000 -3016.249 -3016.249
0.100 0.000 -3016.249 -3016.249
0.050 0.000 -3016.249 -3016.249
0.020 0.000 -3016.249 -3016.249
0.010 0.000 -3016.249 -3016.249
H1 Value
Mean -3014.089
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 -3014.089 -3014.089
0.980 0.000 -3014.089 -3014.089
0.950 0.000 -3014.089 -3014.089
0.900 0.000 -3014.089 -3014.089
0.800 0.000 -3014.089 -3014.089
0.700 0.000 -3014.089 -3014.089
0.500 0.000 -3014.089 -3014.089
0.300 0.000 -3014.089 -3014.089
0.200 0.000 -3014.089 -3014.089
0.100 0.000 -3014.089 -3014.089
0.050 0.000 -3014.089 -3014.089
0.020 0.000 -3014.089 -3014.089
0.010 0.000 -3014.089 -3014.089
Information Criteria
Akaike (AIC)
Mean 6054.498
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 6054.498 6054.498
0.980 0.000 6054.498 6054.498
0.950 0.000 6054.498 6054.498
0.900 0.000 6054.498 6054.498
0.800 0.000 6054.498 6054.498
0.700 0.000 6054.498 6054.498
0.500 0.000 6054.498 6054.498
0.300 0.000 6054.498 6054.498
0.200 0.000 6054.498 6054.498
0.100 0.000 6054.498 6054.498
0.050 0.000 6054.498 6054.498
0.020 0.000 6054.498 6054.498
0.010 0.000 6054.498 6054.498
Bayesian (BIC)
Mean 6100.859
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 6100.859 6100.859
0.980 0.000 6100.859 6100.859
0.950 0.000 6100.859 6100.859
0.900 0.000 6100.859 6100.859
0.800 0.000 6100.859 6100.859
0.700 0.000 6100.859 6100.859
0.500 0.000 6100.859 6100.859
0.300 0.000 6100.859 6100.859
0.200 0.000 6100.859 6100.859
0.100 0.000 6100.859 6100.859
0.050 0.000 6100.859 6100.859
0.020 0.000 6100.859 6100.859
0.010 0.000 6100.859 6100.859
Sample-Size Adjusted BIC (n* = (n + 2) / 24)
Mean 6065.944
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 0.000 6065.944 6065.944
0.980 0.000 6065.944 6065.944
0.950 0.000 6065.944 6065.944
0.900 0.000 6065.944 6065.944
0.800 0.000 6065.944 6065.944
0.700 0.000 6065.944 6065.944
0.500 0.000 6065.944 6065.944
0.300 0.000 6065.944 6065.944
0.200 0.000 6065.944 6065.944
0.100 0.000 6065.944 6065.944
0.050 0.000 6065.944 6065.944
0.020 0.000 6065.944 6065.944
0.010 0.000 6065.944 6065.944
Chi-Square Test of Model Fit
Degrees of freedom 3
Mean 4.319
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 0.115 4.319
0.980 1.000 0.185 4.319
0.950 1.000 0.352 4.319
0.900 1.000 0.584 4.319
0.800 1.000 1.005 4.319
0.700 1.000 1.424 4.319
0.500 1.000 2.366 4.319
0.300 1.000 3.665 4.319
0.200 0.000 4.642 4.319
0.100 0.000 6.251 4.319
0.050 0.000 7.815 4.319
0.020 0.000 9.837 4.319
0.010 0.000 11.345 4.319
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.030
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 0.000
0.010 0.000
CFI/TLI
CFI
Mean 0.999
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
TLI
Mean 0.998
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 0.000
0.980 0.000
0.950 0.000
0.900 0.000
0.800 0.000
0.700 0.000
0.500 0.000
0.300 0.000
0.200 0.000
0.100 0.000
0.050 0.000
0.020 0.000
0.010 0.000
SRMR (Standardized Root Mean Square Residual)
Mean 0.009
Std Dev 0.000
Number of successful computations 1
Cumulative Distribution Function
Value Function Value
0.990 1.000
0.980 1.000
0.950 1.000
0.900 1.000
0.800 1.000
0.700 1.000
0.500 1.000
0.300 1.000
0.200 1.000
0.100 1.000
0.050 1.000
0.020 1.000
0.010 1.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
I |
Y11 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y12 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y13 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y14 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
S |
Y11 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y12 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
Y13 2.000 1.9732 0.0000 0.0666 0.0007 1.000 1.000
Y14 3.000 2.9459 0.0000 0.1030 0.0029 1.000 1.000
I WITH
S 0.100 0.1333 0.0000 0.0331 0.0011 1.000 1.000
Means
I 0.500 0.5144 0.0000 0.0538 0.0002 1.000 1.000
S 1.000 1.0458 0.0000 0.0466 0.0021 1.000 1.000
Intercepts
Y11 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y12 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y13 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Y14 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Variances
I 1.000 0.9880 0.0000 0.0888 0.0001 1.000 1.000
S 0.200 0.2322 0.0000 0.0287 0.0010 1.000 1.000
Residual Variances
Y11 0.500 0.4713 0.0000 0.0590 0.0008 1.000 1.000
Y12 0.500 0.4823 0.0000 0.0402 0.0003 1.000 1.000
Y13 0.500 0.4713 0.0000 0.0476 0.0008 1.000 1.000
Y14 0.500 0.5515 0.0000 0.0850 0.0026 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.364E-01
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
NU
Y11 Y12 Y13 Y14
________ ________ ________ ________
0 0 0 0
LAMBDA
I S
________ ________
Y11 0 0
Y12 0 0
Y13 0 1
Y14 0 2
THETA
Y11 Y12 Y13 Y14
________ ________ ________ ________
Y11 3
Y12 0 4
Y13 0 0 5
Y14 0 0 0 6
ALPHA
I S
________ ________
7 8
BETA
I S
________ ________
I 0 0
S 0 0
PSI
I S
________ ________
I 9
S 10 11
STARTING VALUES
NU
Y11 Y12 Y13 Y14
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
I S
________ ________
Y11 1.000 0.000
Y12 1.000 1.000
Y13 1.000 2.000
Y14 1.000 3.000
THETA
Y11 Y12 Y13 Y14
________ ________ ________ ________
Y11 0.500
Y12 0.000 0.500
Y13 0.000 0.000 0.500
Y14 0.000 0.000 0.000 0.500
ALPHA
I S
________ ________
0.500 1.000
BETA
I S
________ ________
I 0.000 0.000
S 0.000 0.000
PSI
I S
________ ________
I 1.000
S 0.100 0.200
POPULATION VALUES
NU
Y11 Y12 Y13 Y14
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
I S
________ ________
Y11 1.000 0.000
Y12 1.000 1.000
Y13 1.000 2.000
Y14 1.000 3.000
THETA
Y11 Y12 Y13 Y14
________ ________ ________ ________
Y11 0.500
Y12 0.000 0.500
Y13 0.000 0.000 0.500
Y14 0.000 0.000 0.000 0.500
ALPHA
I S
________ ________
0.500 1.000
BETA
I S
________ ________
I 0.000 0.000
S 0.000 0.000
PSI
I S
________ ________
I 1.000
S 0.100 0.200
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
SAVEDATA INFORMATION
Order of variables
Y11
Y12
Y13
Y14
Save file
ex6.8.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:24:27
Ending Time: 22:24:27
Elapsed Time: 00:00:00
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