Mplus VERSION 7.3
MUTHEN & MUTHEN
09/22/2014   5:18 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



SAMPLE STATISTICS FOR THE FIRST REPLICATION


     SAMPLE STATISTICS


           Means/Intercepts/Thresholds
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
      1        -0.542         0.000         0.479        -1.461        -1.028


           Means/Intercepts/Thresholds
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
      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           1             2             3             1             2


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
      1           3             1             2             3


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
      1           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
              ________      ________      ________      ________      ________
      1           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
              ________      ________      ________      ________      ________
      1           0             0             0            13            14


           DELTA
              U32           U13           U23           U33
              ________      ________      ________      ________
      1          15            16            17            18


     STARTING VALUES


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
      1        -0.500         0.000         0.500        -0.500         0.000


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
      1         0.500        -0.500         0.000         0.500


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
      1         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
              ________      ________      ________      ________      ________
      1         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         1.000         1.000         1.000         1.000         1.000


           DELTA
              U32           U13           U23           U33
              ________      ________      ________      ________
      1         1.000         1.000         1.000         1.000


     POPULATION VALUES


           TAU
              U11$1         U21$1         U31$1         U12$1         U22$1
              ________      ________      ________      ________      ________
 1             -0.500         0.000         0.500        -0.500         0.000


           TAU
              U32$1         U13$1         U23$1         U33$1
              ________      ________      ________      ________
 1              0.500        -0.500         0.000         0.500


           NU
              U11           U21           U31           U12           U22
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              U32           U13           U23           U33
              ________      ________      ________      ________
 1              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
              ________      ________      ________      ________      ________
 1              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:  17:18:26
        Ending Time:  17:18:26
       Elapsed Time:  00:00:00



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