```Mplus VERSION 8
MUTHEN & MUTHEN
04/10/2017   3:29 AM

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

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

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000            0.056          0.056
0.980       0.000            0.056          0.056
0.950       0.000            0.056          0.056
0.900       0.000            0.056          0.056
0.800       0.000            0.056          0.056
0.700       0.000            0.056          0.056
0.500       0.000            0.056          0.056
0.300       0.000            0.056          0.056
0.200       0.000            0.056          0.056
0.100       0.000            0.056          0.056
0.050       0.000            0.056          0.056
0.020       0.000            0.056          0.056
0.010       0.000            0.056          0.056

WRMR (Weighted Root Mean Square Residual)

Mean                                 1.109
Std Dev                              0.000
Number of successful computations        1

Proportions                   Percentiles
Expected    Observed         Expected       Observed
0.990       0.000            1.109          1.109
0.980       0.000            1.109          1.109
0.950       0.000            1.109          1.109
0.900       0.000            1.109          1.109
0.800       0.000            1.109          1.109
0.700       0.000            1.109          1.109
0.500       0.000            1.109          1.109
0.300       0.000            1.109          1.109
0.200       0.000            1.109          1.109
0.100       0.000            1.109          1.109
0.050       0.000            1.109          1.109
0.020       0.000            1.109          1.109
0.010       0.000            1.109          1.109

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:  03:29:14
Ending Time:  03:29:14
Elapsed Time:  00:00:00

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Fax: (310) 391-8971
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Copyright (c) 1998-2017 Muthen & Muthen
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