Mplus VERSION 7
MUTHEN & MUTHEN
09/22/2012  10:02 PM

INPUT INSTRUCTIONS

  title:	this is an example of a multiple indicator
  	linear growth model for continuous outcomes

  montecarlo:
  	names = y11 y21 y31 y12 y22 y32 y13 y23 y33;
  	nobs = 500;
  	nreps = 1;
  	save = ex6.14.dat;

  model montecarlo:	

  	f1 BY	y11@1
              y21*1 (1)
              y31*1 (2);
  	f2 BY 	y12@1
  			y22*1 (1)
  			y32*1 (2);
  	f3 BY 	y13@1
  			y23*1 (1)
  			y33*1 (2);

  	[y11*-.5 y12*-.5 y13*-.5] (3);
  	[y21*0 y22*0 y23*0] (4);
  	[y31*.5 y32*.5 y33*.5] (5);

  	y11-y33*.5;

  	i s | f1@0 f2@1 f3@2;

  	[i@0 s*1];
  	i*1 s*.2;

  	f1-f3*.4;

  model:	

  	f1 BY	y11@1
              y21*1 (1)
              y31*1 (2);
  	f2 BY 	y12@1
  			y22*1 (1)
  			y32*1 (2);
  	f3 BY 	y13@1
  			y23*1 (1)
  			y33*1 (2);

  	[y11*-.5 y12*-.5 y13*-.5] (3);
  	[y21*0 y22*0 y23*0] (4);
  	[y31*.5 y32*.5 y33*.5] (5);

  	y11-y33*.5;

  	i s | f1@0 f2@1 f3@2;

  	[i@0 s*1];
  	i*1 s*.2;

  	f1-f3*.4;




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

  Continuous
   Y11         Y21         Y31         Y12         Y22         Y32
   Y13         Y23         Y33

Continuous latent variables
   F1          F2          F3          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           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
      1        -0.549        -0.014         0.549         0.512         1.035


           Means
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
      1         1.536         1.556         2.018         2.489


           Covariances
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
 Y11            1.850
 Y21            1.455         2.044
 Y31            1.301         1.480         1.876
 Y12            0.950         0.995         0.949         2.096
 Y22            0.997         1.058         0.991         1.641         2.225
 Y32            1.010         1.031         0.998         1.614         1.695
 Y13            0.953         0.983         0.886         1.408         1.445
 Y23            0.885         0.920         0.804         1.238         1.313
 Y33            0.876         0.981         0.836         1.225         1.296


           Covariances
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
 Y32            2.153
 Y13            1.442         2.677
 Y23            1.310         2.060         2.339
 Y33            1.332         1.950         1.879         2.336


           Correlations
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
 Y11            1.000
 Y21            0.748         1.000
 Y31            0.698         0.756         1.000
 Y12            0.483         0.481         0.479         1.000
 Y22            0.492         0.496         0.485         0.760         1.000
 Y32            0.506         0.491         0.496         0.760         0.775
 Y13            0.428         0.420         0.395         0.595         0.592
 Y23            0.425         0.421         0.384         0.559         0.576
 Y33            0.421         0.449         0.399         0.553         0.568


           Correlations
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
 Y32            1.000
 Y13            0.601         1.000
 Y23            0.583         0.823         1.000
 Y33            0.594         0.780         0.804         1.000


MODEL FIT INFORMATION

Number of Free Parameters                       21

Loglikelihood

    H0 Value

        Mean                             -6357.999
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -6357.999      -6357.999
           0.980       0.000        -6357.999      -6357.999
           0.950       0.000        -6357.999      -6357.999
           0.900       0.000        -6357.999      -6357.999
           0.800       0.000        -6357.999      -6357.999
           0.700       0.000        -6357.999      -6357.999
           0.500       0.000        -6357.999      -6357.999
           0.300       0.000        -6357.999      -6357.999
           0.200       0.000        -6357.999      -6357.999
           0.100       0.000        -6357.999      -6357.999
           0.050       0.000        -6357.999      -6357.999
           0.020       0.000        -6357.999      -6357.999
           0.010       0.000        -6357.999      -6357.999

    H1 Value

        Mean                             -6339.524
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -6339.524      -6339.524
           0.980       0.000        -6339.524      -6339.524
           0.950       0.000        -6339.524      -6339.524
           0.900       0.000        -6339.524      -6339.524
           0.800       0.000        -6339.524      -6339.524
           0.700       0.000        -6339.524      -6339.524
           0.500       0.000        -6339.524      -6339.524
           0.300       0.000        -6339.524      -6339.524
           0.200       0.000        -6339.524      -6339.524
           0.100       0.000        -6339.524      -6339.524
           0.050       0.000        -6339.524      -6339.524
           0.020       0.000        -6339.524      -6339.524
           0.010       0.000        -6339.524      -6339.524

Information Criteria

    Akaike (AIC)

        Mean                             12757.998
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        12757.998      12757.998
           0.980       0.000        12757.998      12757.998
           0.950       0.000        12757.998      12757.998
           0.900       0.000        12757.998      12757.998
           0.800       0.000        12757.998      12757.998
           0.700       0.000        12757.998      12757.998
           0.500       0.000        12757.998      12757.998
           0.300       0.000        12757.998      12757.998
           0.200       0.000        12757.998      12757.998
           0.100       0.000        12757.998      12757.998
           0.050       0.000        12757.998      12757.998
           0.020       0.000        12757.998      12757.998
           0.010       0.000        12757.998      12757.998

    Bayesian (BIC)

        Mean                             12846.504
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        12846.504      12846.504
           0.980       0.000        12846.504      12846.504
           0.950       0.000        12846.504      12846.504
           0.900       0.000        12846.504      12846.504
           0.800       0.000        12846.504      12846.504
           0.700       0.000        12846.504      12846.504
           0.500       0.000        12846.504      12846.504
           0.300       0.000        12846.504      12846.504
           0.200       0.000        12846.504      12846.504
           0.100       0.000        12846.504      12846.504
           0.050       0.000        12846.504      12846.504
           0.020       0.000        12846.504      12846.504
           0.010       0.000        12846.504      12846.504

    Sample-Size Adjusted BIC (n* = (n + 2) / 24)

        Mean                             12779.849
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        12779.849      12779.849
           0.980       0.000        12779.849      12779.849
           0.950       0.000        12779.849      12779.849
           0.900       0.000        12779.849      12779.849
           0.800       0.000        12779.849      12779.849
           0.700       0.000        12779.849      12779.849
           0.500       0.000        12779.849      12779.849
           0.300       0.000        12779.849      12779.849
           0.200       0.000        12779.849      12779.849
           0.100       0.000        12779.849      12779.849
           0.050       0.000        12779.849      12779.849
           0.020       0.000        12779.849      12779.849
           0.010       0.000        12779.849      12779.849

Chi-Square Test of Model Fit

        Degrees of freedom                      33

        Mean                                36.949
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           17.074         36.949
           0.980       1.000           18.527         36.949
           0.950       1.000           20.867         36.949
           0.900       1.000           23.110         36.949
           0.800       1.000           26.042         36.949
           0.700       1.000           28.307         36.949
           0.500       1.000           32.336         36.949
           0.300       1.000           36.731         36.949
           0.200       0.000           39.572         36.949
           0.100       0.000           43.745         36.949
           0.050       0.000           47.400         36.949
           0.020       0.000           51.743         36.949
           0.010       0.000           54.776         36.949

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.015
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.015          0.015
           0.980       0.000            0.015          0.015
           0.950       0.000            0.015          0.015
           0.900       0.000            0.015          0.015
           0.800       0.000            0.015          0.015
           0.700       0.000            0.015          0.015
           0.500       0.000            0.015          0.015
           0.300       0.000            0.015          0.015
           0.200       0.000            0.015          0.015
           0.100       0.000            0.015          0.015
           0.050       0.000            0.015          0.015
           0.020       0.000            0.015          0.015
           0.010       0.000            0.015          0.015

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.023
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            0.023          0.023
           0.980       0.000            0.023          0.023
           0.950       0.000            0.023          0.023
           0.900       0.000            0.023          0.023
           0.800       0.000            0.023          0.023
           0.700       0.000            0.023          0.023
           0.500       0.000            0.023          0.023
           0.300       0.000            0.023          0.023
           0.200       0.000            0.023          0.023
           0.100       0.000            0.023          0.023
           0.050       0.000            0.023          0.023
           0.020       0.000            0.023          0.023
           0.010       0.000            0.023          0.023


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
  Y11              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y21              1.000     1.0033     0.0000     0.0178     0.0000 1.000 1.000
  Y31              1.000     0.9599     0.0000     0.0180     0.0016 0.000 1.000

 F2       BY
  Y12              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y22              1.000     1.0033     0.0000     0.0178     0.0000 1.000 1.000
  Y32              1.000     0.9599     0.0000     0.0180     0.0016 0.000 1.000

 F3       BY
  Y13              1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y23              1.000     1.0033     0.0000     0.0178     0.0000 1.000 1.000
  Y33              1.000     0.9599     0.0000     0.0180     0.0016 0.000 1.000

 S        WITH
  I                0.000    -0.1016     0.0000     0.0657     0.0103 1.000 0.000

 Means
  I                0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  S                1.000     1.0233     0.0000     0.0333     0.0005 1.000 1.000

 Intercepts
  Y11             -0.500    -0.5191     0.0000     0.0589     0.0004 1.000 1.000
  Y21              0.000    -0.0173     0.0000     0.0586     0.0003 1.000 0.000
  Y31              0.500     0.5404     0.0000     0.0569     0.0016 1.000 1.000
  Y12             -0.500    -0.5191     0.0000     0.0589     0.0004 1.000 1.000
  Y22              0.000    -0.0173     0.0000     0.0586     0.0003 1.000 0.000
  Y32              0.500     0.5404     0.0000     0.0569     0.0016 1.000 1.000
  Y13             -0.500    -0.5191     0.0000     0.0589     0.0004 1.000 1.000
  Y23              0.000    -0.0173     0.0000     0.0586     0.0003 1.000 0.000
  Y33              0.500     0.5404     0.0000     0.0569     0.0016 1.000 1.000
  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

 Variances
  I                1.000     1.1246     0.0000     0.1291     0.0155 1.000 1.000
  S                0.200     0.2694     0.0000     0.0603     0.0048 1.000 1.000

 Residual Variances
  Y11              0.500     0.5193     0.0000     0.0473     0.0004 1.000 1.000
  Y21              0.500     0.4662     0.0000     0.0448     0.0011 1.000 1.000
  Y31              0.500     0.5435     0.0000     0.0468     0.0019 1.000 1.000
  Y12              0.500     0.5196     0.0000     0.0459     0.0004 1.000 1.000
  Y22              0.500     0.5097     0.0000     0.0456     0.0001 1.000 1.000
  Y32              0.500     0.4965     0.0000     0.0437     0.0000 1.000 1.000
  Y13              0.500     0.5417     0.0000     0.0482     0.0017 1.000 1.000
  Y23              0.500     0.3779     0.0000     0.0395     0.0149 0.000 1.000
  Y33              0.500     0.5357     0.0000     0.0457     0.0013 1.000 1.000
  F1               0.400     0.3287     0.0000     0.1110     0.0051 1.000 1.000
  F2               0.400     0.5008     0.0000     0.0663     0.0102 1.000 1.000
  F3               0.400     0.2099     0.0000     0.1261     0.0361 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.237E-02
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
      1           1             2             3             1             2


           NU
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
      1           3             1             2             3


           LAMBDA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 Y11                0             0             0             0             0
 Y21                4             0             0             0             0
 Y31                5             0             0             0             0
 Y12                0             0             0             0             0
 Y22                0             4             0             0             0
 Y32                0             5             0             0             0
 Y13                0             0             0             0             0
 Y23                0             0             4             0             0
 Y33                0             0             5             0             0


           THETA
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
 Y11                6
 Y21                0             7
 Y31                0             0             8
 Y12                0             0             0             9
 Y22                0             0             0             0            10
 Y32                0             0             0             0             0
 Y13                0             0             0             0             0
 Y23                0             0             0             0             0
 Y33                0             0             0             0             0


           THETA
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
 Y32               11
 Y13                0            12
 Y23                0             0            13
 Y33                0             0             0            14


           ALPHA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
      1           0             0             0             0            15


           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                16
 F2                 0            17
 F3                 0             0            18
 I                  0             0             0            19
 S                  0             0             0            20            21


     STARTING VALUES


           NU
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
      1        -0.500         0.000         0.500        -0.500         0.000


           NU
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
      1         0.500        -0.500         0.000         0.500


           LAMBDA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 Y11            1.000         0.000         0.000         0.000         0.000
 Y21            1.138         0.000         0.000         0.000         0.000
 Y31            1.017         0.000         0.000         0.000         0.000
 Y12            0.000         1.000         0.000         0.000         0.000
 Y22            0.000         1.050         0.000         0.000         0.000
 Y32            0.000         1.033         0.000         0.000         0.000
 Y13            0.000         0.000         1.000         0.000         0.000
 Y23            0.000         0.000         0.963         0.000         0.000
 Y33            0.000         0.000         0.912         0.000         0.000


           THETA
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
 Y11            0.500
 Y21            0.000         0.500
 Y31            0.000         0.000         0.500
 Y12            0.000         0.000         0.000         0.500
 Y22            0.000         0.000         0.000         0.000         0.500
 Y32            0.000         0.000         0.000         0.000         0.000
 Y13            0.000         0.000         0.000         0.000         0.000
 Y23            0.000         0.000         0.000         0.000         0.000
 Y33            0.000         0.000         0.000         0.000         0.000


           THETA
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
 Y32            0.500
 Y13            0.000         0.500
 Y23            0.000         0.000         0.500
 Y33            0.000         0.000         0.000         0.500


           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         1.000
 S              0.000         0.000         0.000         0.000         0.200


     POPULATION VALUES


           NU
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
 1             -0.500         0.000         0.500        -0.500         0.000


           NU
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
 1              0.500        -0.500         0.000         0.500


           LAMBDA
              F1            F2            F3            I             S
              ________      ________      ________      ________      ________
 Y11            1.000         0.000         0.000         0.000         0.000
 Y21            1.000         0.000         0.000         0.000         0.000
 Y31            1.000         0.000         0.000         0.000         0.000
 Y12            0.000         1.000         0.000         0.000         0.000
 Y22            0.000         1.000         0.000         0.000         0.000
 Y32            0.000         1.000         0.000         0.000         0.000
 Y13            0.000         0.000         1.000         0.000         0.000
 Y23            0.000         0.000         1.000         0.000         0.000
 Y33            0.000         0.000         1.000         0.000         0.000


           THETA
              Y11           Y21           Y31           Y12           Y22
              ________      ________      ________      ________      ________
 Y11            0.500
 Y21            0.000         0.500
 Y31            0.000         0.000         0.500
 Y12            0.000         0.000         0.000         0.500
 Y22            0.000         0.000         0.000         0.000         0.500
 Y32            0.000         0.000         0.000         0.000         0.000
 Y13            0.000         0.000         0.000         0.000         0.000
 Y23            0.000         0.000         0.000         0.000         0.000
 Y33            0.000         0.000         0.000         0.000         0.000


           THETA
              Y32           Y13           Y23           Y33
              ________      ________      ________      ________
 Y32            0.500
 Y13            0.000         0.500
 Y23            0.000         0.000         0.500
 Y33            0.000         0.000         0.000         0.500


           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         1.000
 S              0.000         0.000         0.000         0.000         0.200


SAVEDATA INFORMATION

  Order of variables

    Y11
    Y21
    Y31
    Y12
    Y22
    Y32
    Y13
    Y23
    Y33

  Save file
    ex6.14.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:02:53
        Ending Time:  22:02:54
       Elapsed Time:  00:00:01



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