Mplus VERSION 8.8
MUTHEN & MUTHEN
04/19/2022 10:24 PM
INPUT INSTRUCTIONS
title: this is an example of a multiple indicator
linear growth model for continuous outcomes
montecarlo:
names = u11 u21 u31 u12 u22 u32 u13 u23 u33;
generate = u11-u33(1);
categorical = u11-u33;
nobs = 500;
nreps = 1;
save = ex6.15.dat;
model montecarlo:
f1 by u11@1
u21*1 (1)
u31*1 (2);
f2 by u12@1
u22*1 (1)
u32*1 (2);
f3 by u13@1
u23*1 (1)
u33*1 (2);
[u11$1*-.5 u12$1*-.5 u13$1*-.5] (3);
[u21$1*0 u22$1*0 u23$1*0] (4);
[u31$1*.5 u32$1*.5 u33$1*.5] (5);
u11-u33*.2;
i s | f1@0 f2@1 f3@2;
[i@0 s*1];
i*.4 s*0;
f1-f3*.4;
! the Delta parameterization of WLSMV assumes
! V(u*) = 1, which is fulfilled with these
! population parameter values, so the metric
! of the estimates will be correct
model:
f1 by u11@1
u21*1 (1)
u31*1 (2);
f2 by u12@1
u22*1 (1)
u32*1 (2);
f3 by u13@1
u23*1 (1)
u33*1 (2);
[u11$1*-.5 u12$1*-.5 u13$1*-.5] (3);
[u21$1*0 u22$1*0 u23$1*0] (4);
[u31$1*.5 u32$1*.5 u33$1*.5] (5);
{u11-u31@1 u12-u33*1};
i s | f1@0 f2@1 f3@2;
[i@0 s*1];
i*.4 s*0;
f1-f3*.4;
output:
tech9;
INPUT READING TERMINATED NORMALLY
this is an example of a multiple indicator
linear growth model for continuous outcomes
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 9
Number of independent variables 0
Number of continuous latent variables 5
Observed dependent variables
Binary and ordered categorical (ordinal)
U11 U21 U31 U12 U22 U32
U13 U23 U33
Continuous latent variables
F1 F2 F3 I S
Estimator WLSMV
Maximum number of iterations 1000
Convergence criterion 0.500D-04
Maximum number of steepest descent iterations 20
Parameterization DELTA
Link PROBIT
SAMPLE STATISTICS FOR THE FIRST REPLICATION
SAMPLE STATISTICS
Means/Intercepts/Thresholds
U11$1 U21$1 U31$1 U12$1 U22$1
________ ________ ________ ________ ________
-0.542 0.000 0.479 -1.461 -1.028
Means/Intercepts/Thresholds
U32$1 U13$1 U23$1 U33$1
________ ________ ________ ________
-0.530 -2.652 -1.977 -1.538
Covariances/Correlations/Residual Correlations
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
U11
U21 0.829
U31 0.725 0.834
U12 0.487 0.460 0.492
U22 0.351 0.471 0.503 0.786
U32 0.448 0.431 0.408 0.816 0.808
U13 0.394 0.223 0.066 0.494 0.542
U23 0.230 0.277 0.351 0.456 0.516
U33 0.447 0.455 0.307 0.492 0.343
Covariances/Correlations/Residual Correlations
U32 U13 U23 U33
________ ________ ________ ________
U13 0.390
U23 0.676 0.812
U33 0.366 0.691 0.781
MODEL FIT INFORMATION
Number of Free Parameters 18
Chi-Square Test of Model Fit
Degrees of freedom 27
Mean 69.700
Std Dev 0.000
Number of successful computations 1
Proportions Percentiles
Expected Observed Expected Observed
0.990 1.000 12.878 69.700
0.980 1.000 14.125 69.700
0.950 1.000 16.151 69.700
0.900 1.000 18.114 69.700
0.800 1.000 20.703 69.700
0.700 1.000 22.719 69.700
0.500 1.000 26.336 69.700
0.300 1.000 30.319 69.700
0.200 1.000 32.912 69.700
0.100 1.000 36.741 69.700
0.050 1.000 40.113 69.700
0.020 1.000 44.140 69.700
0.010 1.000 46.963 69.700
RMSEA (Root Mean Square Error Of Approximation)
Mean 0.056
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 0.000
0.020 0.000
0.010 0.000
CFI/TLI
CFI
Mean 0.980
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 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 0.973
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 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 0.068
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 0.000
0.020 0.000
0.010 0.000
MODEL RESULTS
ESTIMATES S. E. M. S. E. 95% % Sig
Population Average Std. Dev. Average Cover Coeff
I |
F1 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
F2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
F3 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
S |
F1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
F2 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
F3 2.000 2.0000 0.0000 0.0000 0.0000 1.000 0.000
F1 BY
U11 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U21 1.000 1.0760 0.0000 0.0603 0.0058 1.000 1.000
U31 1.000 0.9511 0.0000 0.0481 0.0024 1.000 1.000
F2 BY
U12 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U22 1.000 1.0760 0.0000 0.0603 0.0058 1.000 1.000
U32 1.000 0.9511 0.0000 0.0481 0.0024 1.000 1.000
F3 BY
U13 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U23 1.000 1.0760 0.0000 0.0603 0.0058 1.000 1.000
U33 1.000 0.9511 0.0000 0.0481 0.0024 1.000 1.000
S WITH
I 0.000 -0.2109 0.0000 0.0777 0.0445 0.000 1.000
Means
I 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
S 1.000 1.1111 0.0000 0.1525 0.0123 1.000 1.000
Intercepts
F1 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
F2 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
F3 0.000 0.0000 0.0000 0.0000 0.0000 1.000 0.000
Thresholds
U11$1 -0.500 -0.5479 0.0000 0.0592 0.0023 1.000 1.000
U21$1 0.000 0.0100 0.0000 0.0545 0.0001 1.000 0.000
U31$1 0.500 0.4717 0.0000 0.0579 0.0008 1.000 1.000
U12$1 -0.500 -0.5479 0.0000 0.0592 0.0023 1.000 1.000
U22$1 0.000 0.0100 0.0000 0.0545 0.0001 1.000 0.000
U32$1 0.500 0.4717 0.0000 0.0579 0.0008 1.000 1.000
U13$1 -0.500 -0.5479 0.0000 0.0592 0.0023 1.000 1.000
U23$1 0.000 0.0100 0.0000 0.0545 0.0001 1.000 0.000
U33$1 0.500 0.4717 0.0000 0.0579 0.0008 1.000 1.000
Variances
I 0.400 0.7032 0.0000 0.1598 0.0919 1.000 1.000
S 0.000 0.2607 0.0000 0.0900 0.0680 0.000 1.000
Residual Variances
F1 0.400 0.0852 0.0000 0.1565 0.0991 0.000 0.000
F2 0.400 0.4697 0.0000 0.1768 0.0049 1.000 1.000
F3 0.400 0.0448 0.0000 0.0780 0.1262 0.000 0.000
Scales
U11 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U21 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U31 1.000 1.0000 0.0000 0.0000 0.0000 1.000 0.000
U12 1.000 0.8901 0.0000 0.1024 0.0121 1.000 1.000
U22 1.000 0.8529 0.0000 0.1277 0.0216 1.000 1.000
U32 1.000 0.9106 0.0000 0.1336 0.0080 1.000 1.000
U13 1.000 0.8699 0.0000 0.1315 0.0169 1.000 1.000
U23 1.000 0.8745 0.0000 0.1327 0.0157 1.000 1.000
U33 1.000 0.9225 0.0000 0.1410 0.0060 1.000 1.000
QUALITY OF NUMERICAL RESULTS
Average Condition Number for the Information Matrix 0.117E-03
(ratio of smallest to largest eigenvalue)
TECHNICAL OUTPUT
PARAMETER SPECIFICATION
TAU
U11$1 U21$1 U31$1 U12$1 U22$1
________ ________ ________ ________ ________
1 2 3 1 2
TAU
U32$1 U13$1 U23$1 U33$1
________ ________ ________ ________
3 1 2 3
NU
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
0 0 0 0 0
NU
U32 U13 U23 U33
________ ________ ________ ________
0 0 0 0
LAMBDA
F1 F2 F3 I S
________ ________ ________ ________ ________
U11 0 0 0 0 0
U21 4 0 0 0 0
U31 5 0 0 0 0
U12 0 0 0 0 0
U22 0 4 0 0 0
U32 0 5 0 0 0
U13 0 0 0 0 0
U23 0 0 4 0 0
U33 0 0 5 0 0
ALPHA
F1 F2 F3 I S
________ ________ ________ ________ ________
0 0 0 0 6
BETA
F1 F2 F3 I S
________ ________ ________ ________ ________
F1 0 0 0 0 0
F2 0 0 0 0 0
F3 0 0 0 0 0
I 0 0 0 0 0
S 0 0 0 0 0
PSI
F1 F2 F3 I S
________ ________ ________ ________ ________
F1 7
F2 0 8
F3 0 0 9
I 0 0 0 10
S 0 0 0 11 12
DELTA
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
0 0 0 13 14
DELTA
U32 U13 U23 U33
________ ________ ________ ________
15 16 17 18
STARTING VALUES
TAU
U11$1 U21$1 U31$1 U12$1 U22$1
________ ________ ________ ________ ________
-0.500 0.000 0.500 -0.500 0.000
TAU
U32$1 U13$1 U23$1 U33$1
________ ________ ________ ________
0.500 -0.500 0.000 0.500
NU
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U32 U13 U23 U33
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
F1 F2 F3 I S
________ ________ ________ ________ ________
U11 1.000 0.000 0.000 0.000 0.000
U21 1.150 0.000 0.000 0.000 0.000
U31 1.006 0.000 0.000 0.000 0.000
U12 0.000 1.000 0.000 0.000 0.000
U22 0.000 0.991 0.000 0.000 0.000
U32 0.000 1.029 0.000 0.000 0.000
U13 0.000 0.000 1.000 0.000 0.000
U23 0.000 0.000 1.130 0.000 0.000
U33 0.000 0.000 0.962 0.000 0.000
ALPHA
F1 F2 F3 I S
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 1.000
BETA
F1 F2 F3 I S
________ ________ ________ ________ ________
F1 0.000 0.000 0.000 1.000 0.000
F2 0.000 0.000 0.000 1.000 1.000
F3 0.000 0.000 0.000 1.000 2.000
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
PSI
F1 F2 F3 I S
________ ________ ________ ________ ________
F1 0.400
F2 0.000 0.400
F3 0.000 0.000 0.400
I 0.000 0.000 0.000 0.400
S 0.000 0.000 0.000 0.000 0.000
DELTA
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
1.000 1.000 1.000 1.000 1.000
DELTA
U32 U13 U23 U33
________ ________ ________ ________
1.000 1.000 1.000 1.000
POPULATION VALUES
TAU
U11$1 U21$1 U31$1 U12$1 U22$1
________ ________ ________ ________ ________
-0.500 0.000 0.500 -0.500 0.000
TAU
U32$1 U13$1 U23$1 U33$1
________ ________ ________ ________
0.500 -0.500 0.000 0.500
NU
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 0.000
NU
U32 U13 U23 U33
________ ________ ________ ________
0.000 0.000 0.000 0.000
LAMBDA
F1 F2 F3 I S
________ ________ ________ ________ ________
U11 1.000 0.000 0.000 0.000 0.000
U21 1.000 0.000 0.000 0.000 0.000
U31 1.000 0.000 0.000 0.000 0.000
U12 0.000 1.000 0.000 0.000 0.000
U22 0.000 1.000 0.000 0.000 0.000
U32 0.000 1.000 0.000 0.000 0.000
U13 0.000 0.000 1.000 0.000 0.000
U23 0.000 0.000 1.000 0.000 0.000
U33 0.000 0.000 1.000 0.000 0.000
THETA
U11 U21 U31 U12 U22
________ ________ ________ ________ ________
U11 0.200
U21 0.000 0.200
U31 0.000 0.000 0.200
U12 0.000 0.000 0.000 0.200
U22 0.000 0.000 0.000 0.000 0.200
U32 0.000 0.000 0.000 0.000 0.000
U13 0.000 0.000 0.000 0.000 0.000
U23 0.000 0.000 0.000 0.000 0.000
U33 0.000 0.000 0.000 0.000 0.000
THETA
U32 U13 U23 U33
________ ________ ________ ________
U32 0.200
U13 0.000 0.200
U23 0.000 0.000 0.200
U33 0.000 0.000 0.000 0.200
ALPHA
F1 F2 F3 I S
________ ________ ________ ________ ________
0.000 0.000 0.000 0.000 1.000
BETA
F1 F2 F3 I S
________ ________ ________ ________ ________
F1 0.000 0.000 0.000 1.000 0.000
F2 0.000 0.000 0.000 1.000 1.000
F3 0.000 0.000 0.000 1.000 2.000
I 0.000 0.000 0.000 0.000 0.000
S 0.000 0.000 0.000 0.000 0.000
PSI
F1 F2 F3 I S
________ ________ ________ ________ ________
F1 0.400
F2 0.000 0.400
F3 0.000 0.000 0.400
I 0.000 0.000 0.000 0.400
S 0.000 0.000 0.000 0.000 0.000
TECHNICAL 9 OUTPUT
Error messages for each replication (if any)
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U13 AND U11 HAS AN EMPTY CELL.
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U13 AND U21 HAS AN EMPTY CELL.
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U13 AND U31 HAS AN EMPTY CELL.
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U13 AND U22 HAS AN EMPTY CELL.
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U13 AND U32 HAS AN EMPTY CELL.
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U23 AND U13 HAS AN EMPTY CELL.
REPLICATION 1:
WARNING: THE BIVARIATE TABLE OF U33 AND U13 HAS AN EMPTY CELL.
SAVEDATA INFORMATION
Order of variables
U11
U21
U31
U12
U22
U32
U13
U23
U33
Save file
ex6.15.dat
Save file format Free
Save file record length 10000
Beginning Time: 22:24:16
Ending Time: 22:24:16
Elapsed Time: 00:00:00
MUTHEN & MUTHEN
3463 Stoner Ave.
Los Angeles, CA 90066
Tel: (310) 391-9971
Fax: (310) 391-8971
Web: www.StatModel.com
Support: Support@StatModel.com
Copyright (c) 1998-2022 Muthen & Muthen
Back to examples