Mplus VERSION 7.2
MUTHEN & MUTHEN
05/07/2014   2:04 PM

INPUT INSTRUCTIONS

  title:		this is an example of a linear growth
  	model for a continuous outcome

  montecarlo:
  	names = y11-y14;
  	nobs = 500;
  	nreps = 1;
  	save = ex6.1.dat;

  model population:

  	i s | y11@0 y12@1 y13@2 y14@3;
  	[y11-y14@0]; ! this is actually default in MC
  	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

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
              ________      ________      ________      ________
      1         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                        9

Loglikelihood

    H0 Value

        Mean                             -3016.386
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3016.386      -3016.386
           0.980       0.000        -3016.386      -3016.386
           0.950       0.000        -3016.386      -3016.386
           0.900       0.000        -3016.386      -3016.386
           0.800       0.000        -3016.386      -3016.386
           0.700       0.000        -3016.386      -3016.386
           0.500       0.000        -3016.386      -3016.386
           0.300       0.000        -3016.386      -3016.386
           0.200       0.000        -3016.386      -3016.386
           0.100       0.000        -3016.386      -3016.386
           0.050       0.000        -3016.386      -3016.386
           0.020       0.000        -3016.386      -3016.386
           0.010       0.000        -3016.386      -3016.386

    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                              6050.772
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6050.772       6050.772
           0.980       0.000         6050.772       6050.772
           0.950       0.000         6050.772       6050.772
           0.900       0.000         6050.772       6050.772
           0.800       0.000         6050.772       6050.772
           0.700       0.000         6050.772       6050.772
           0.500       0.000         6050.772       6050.772
           0.300       0.000         6050.772       6050.772
           0.200       0.000         6050.772       6050.772
           0.100       0.000         6050.772       6050.772
           0.050       0.000         6050.772       6050.772
           0.020       0.000         6050.772       6050.772
           0.010       0.000         6050.772       6050.772

    Bayesian (BIC)

        Mean                              6088.703
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6088.703       6088.703
           0.980       0.000         6088.703       6088.703
           0.950       0.000         6088.703       6088.703
           0.900       0.000         6088.703       6088.703
           0.800       0.000         6088.703       6088.703
           0.700       0.000         6088.703       6088.703
           0.500       0.000         6088.703       6088.703
           0.300       0.000         6088.703       6088.703
           0.200       0.000         6088.703       6088.703
           0.100       0.000         6088.703       6088.703
           0.050       0.000         6088.703       6088.703
           0.020       0.000         6088.703       6088.703
           0.010       0.000         6088.703       6088.703

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

        Mean                              6060.137
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         6060.137       6060.137
           0.980       0.000         6060.137       6060.137
           0.950       0.000         6060.137       6060.137
           0.900       0.000         6060.137       6060.137
           0.800       0.000         6060.137       6060.137
           0.700       0.000         6060.137       6060.137
           0.500       0.000         6060.137       6060.137
           0.300       0.000         6060.137       6060.137
           0.200       0.000         6060.137       6060.137
           0.100       0.000         6060.137       6060.137
           0.050       0.000         6060.137       6060.137
           0.020       0.000         6060.137       6060.137
           0.010       0.000         6060.137       6060.137

Chi-Square Test of Model Fit

        Degrees of freedom                       5

        Mean                                 4.593
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.554          4.593
           0.980       1.000            0.752          4.593
           0.950       1.000            1.145          4.593
           0.900       1.000            1.610          4.593
           0.800       1.000            2.343          4.593
           0.700       1.000            3.000          4.593
           0.500       1.000            4.351          4.593
           0.300       0.000            6.064          4.593
           0.200       0.000            7.289          4.593
           0.100       0.000            9.236          4.593
           0.050       0.000           11.070          4.593
           0.020       0.000           13.388          4.593
           0.010       0.000           15.086          4.593

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations        1

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

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.010
        Std Dev                              0.000
        Number of successful computations        1

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


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     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y14                 3.000     3.0000     0.0000     0.0000     0.0000 1.000 0.000

 I        WITH
  S                   0.100     0.1329     0.0000     0.0324     0.0011 1.000 1.000

 Means
  I                   0.500     0.5227     0.0000     0.0515     0.0005 1.000 1.000
  S                   1.000     1.0263     0.0000     0.0255     0.0007 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     0.9889     0.0000     0.0885     0.0001 1.000 1.000
  S                   0.200     0.2238     0.0000     0.0222     0.0006 1.000 1.000

 Residual Variances
  Y11                 0.500     0.4747     0.0000     0.0584     0.0006 1.000 1.000
  Y12                 0.500     0.4821     0.0000     0.0402     0.0003 1.000 1.000
  Y13                 0.500     0.4732     0.0000     0.0469     0.0007 1.000 1.000
  Y14                 0.500     0.5447     0.0000     0.0826     0.0020 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.462E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y11           Y12           Y13           Y14
              ________      ________      ________      ________
      1           0             0             0             0


           LAMBDA
              I             S
              ________      ________
 Y11                0             0
 Y12                0             0
 Y13                0             0
 Y14                0             0


           THETA
              Y11           Y12           Y13           Y14
              ________      ________      ________      ________
 Y11                1
 Y12                0             2
 Y13                0             0             3
 Y14                0             0             0             4


           ALPHA
              I             S
              ________      ________
      1           5             6


           BETA
              I             S
              ________      ________
 I                  0             0
 S                  0             0


           PSI
              I             S
              ________      ________
 I                  7
 S                  8             9


     STARTING VALUES


           NU
              Y11           Y12           Y13           Y14
              ________      ________      ________      ________
      1         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
              ________      ________
      1         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
              ________      ________      ________      ________
 1              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
              ________      ________
 1              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
    ex6.1.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  14:04:50
        Ending Time:  14:04:50
       Elapsed Time:  00:00:00



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