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

INPUT INSTRUCTIONS

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

  montecarlo:
  	names = y1-y5;
  	nobs = 500;
  	nreps = 1;
  	save = ex6.11.dat;

  model population:

  	i s1 | y1@0 y2@1 y3@2 y4@2 y5@2;
  	i s2 | y1@0 y2@0 y3@0 y4@1 y5@2;

  	y1-y5*.5;
  	[i*.5 s1*1 s2*2];
  	i*1; s1-s2*.2;

  model:
  	
  	i s1 | y1@0 y2@1 y3@2 y4@2 y5@2;
  	i s2 | y1@0 y2@0 y3@0 y4@1 y5@2;

  	y1-y5*.5;
  	[i*.5 s1*1 s2*2];
  	i*1; s1-s2*.2;

  output:
  	tech9;




INPUT READING TERMINATED NORMALLY



this is an example of a piecewise 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                                    5
Number of independent variables                                  0
Number of continuous latent variables                            3

Observed dependent variables

  Continuous
   Y1          Y2          Y3          Y4          Y5

Continuous latent variables
   I           S1          S2


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
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.443         1.584         2.595         4.535         6.535


           Covariances
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.367
 Y2             0.963         1.732
 Y3             0.906         1.408         2.318
 Y4             0.976         1.422         1.797         2.491
 Y5             1.030         1.480         1.824         2.252         3.269


           Correlations
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             1.000
 Y2             0.626         1.000
 Y3             0.509         0.703         1.000
 Y4             0.529         0.684         0.748         1.000
 Y5             0.487         0.622         0.662         0.789         1.000


MODEL FIT INFORMATION

Number of Free Parameters                       14

Loglikelihood

    H0 Value

        Mean                             -3706.171
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3706.171      -3706.171
           0.980       0.000        -3706.171      -3706.171
           0.950       0.000        -3706.171      -3706.171
           0.900       0.000        -3706.171      -3706.171
           0.800       0.000        -3706.171      -3706.171
           0.700       0.000        -3706.171      -3706.171
           0.500       0.000        -3706.171      -3706.171
           0.300       0.000        -3706.171      -3706.171
           0.200       0.000        -3706.171      -3706.171
           0.100       0.000        -3706.171      -3706.171
           0.050       0.000        -3706.171      -3706.171
           0.020       0.000        -3706.171      -3706.171
           0.010       0.000        -3706.171      -3706.171

    H1 Value

        Mean                             -3703.549
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000        -3703.549      -3703.549
           0.980       0.000        -3703.549      -3703.549
           0.950       0.000        -3703.549      -3703.549
           0.900       0.000        -3703.549      -3703.549
           0.800       0.000        -3703.549      -3703.549
           0.700       0.000        -3703.549      -3703.549
           0.500       0.000        -3703.549      -3703.549
           0.300       0.000        -3703.549      -3703.549
           0.200       0.000        -3703.549      -3703.549
           0.100       0.000        -3703.549      -3703.549
           0.050       0.000        -3703.549      -3703.549
           0.020       0.000        -3703.549      -3703.549
           0.010       0.000        -3703.549      -3703.549

Information Criteria

    Akaike (AIC)

        Mean                              7440.342
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7440.342       7440.342
           0.980       0.000         7440.342       7440.342
           0.950       0.000         7440.342       7440.342
           0.900       0.000         7440.342       7440.342
           0.800       0.000         7440.342       7440.342
           0.700       0.000         7440.342       7440.342
           0.500       0.000         7440.342       7440.342
           0.300       0.000         7440.342       7440.342
           0.200       0.000         7440.342       7440.342
           0.100       0.000         7440.342       7440.342
           0.050       0.000         7440.342       7440.342
           0.020       0.000         7440.342       7440.342
           0.010       0.000         7440.342       7440.342

    Bayesian (BIC)

        Mean                              7499.346
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7499.346       7499.346
           0.980       0.000         7499.346       7499.346
           0.950       0.000         7499.346       7499.346
           0.900       0.000         7499.346       7499.346
           0.800       0.000         7499.346       7499.346
           0.700       0.000         7499.346       7499.346
           0.500       0.000         7499.346       7499.346
           0.300       0.000         7499.346       7499.346
           0.200       0.000         7499.346       7499.346
           0.100       0.000         7499.346       7499.346
           0.050       0.000         7499.346       7499.346
           0.020       0.000         7499.346       7499.346
           0.010       0.000         7499.346       7499.346

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

        Mean                              7454.909
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000         7454.909       7454.909
           0.980       0.000         7454.909       7454.909
           0.950       0.000         7454.909       7454.909
           0.900       0.000         7454.909       7454.909
           0.800       0.000         7454.909       7454.909
           0.700       0.000         7454.909       7454.909
           0.500       0.000         7454.909       7454.909
           0.300       0.000         7454.909       7454.909
           0.200       0.000         7454.909       7454.909
           0.100       0.000         7454.909       7454.909
           0.050       0.000         7454.909       7454.909
           0.020       0.000         7454.909       7454.909
           0.010       0.000         7454.909       7454.909

Chi-Square Test of Model Fit

        Degrees of freedom                       6

        Mean                                 5.244
        Std Dev                              0.000
        Number of successful computations        1

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.872          5.244
           0.980       1.000            1.134          5.244
           0.950       1.000            1.635          5.244
           0.900       1.000            2.204          5.244
           0.800       1.000            3.070          5.244
           0.700       1.000            3.828          5.244
           0.500       0.000            5.348          5.244
           0.300       0.000            7.231          5.244
           0.200       0.000            8.558          5.244
           0.100       0.000           10.645          5.244
           0.050       0.000           12.592          5.244
           0.020       0.000           15.033          5.244
           0.010       0.000           16.812          5.244

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        |
  Y1               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y5               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000

 S1       |
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y5               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000

 S2       |
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               1.000     1.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y5               2.000     2.0000     0.0000     0.0000     0.0000 1.000 0.000

 S1       WITH
  I                0.000    -0.0291     0.0000     0.0494     0.0008 1.000 0.000

 S2       WITH
  I                0.000     0.0594     0.0000     0.0362     0.0035 1.000 0.000
  S1               0.000    -0.0309     0.0000     0.0261     0.0010 1.000 0.000

 Means
  I                0.500     0.4622     0.0000     0.0516     0.0014 1.000 1.000
  S1               1.000     1.0714     0.0000     0.0298     0.0051 0.000 1.000
  S2               2.000     1.9573     0.0000     0.0304     0.0018 1.000 1.000

 Intercepts
  Y1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y2               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y3               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y4               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000
  Y5               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000

 Variances
  I                1.000     0.9846     0.0000     0.1002     0.0002 1.000 1.000
  S1               0.200     0.2396     0.0000     0.0374     0.0016 1.000 1.000
  S2               0.200     0.2191     0.0000     0.0416     0.0004 1.000 1.000

 Residual Variances
  Y1               0.500     0.3944     0.0000     0.0765     0.0111 1.000 1.000
  Y2               0.500     0.5251     0.0000     0.0431     0.0006 1.000 1.000
  Y3               0.500     0.5013     0.0000     0.0682     0.0000 1.000 1.000
  Y4               0.500     0.4832     0.0000     0.0479     0.0003 1.000 1.000
  Y5               0.500     0.5587     0.0000     0.1030     0.0034 1.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.136E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           LAMBDA
              I             S1            S2
              ________      ________      ________
 Y1                 0             0             0
 Y2                 0             0             0
 Y3                 0             0             0
 Y4                 0             0             0
 Y5                 0             0             0


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1                 1
 Y2                 0             2
 Y3                 0             0             3
 Y4                 0             0             0             4
 Y5                 0             0             0             0             5


           ALPHA
              I             S1            S2
              ________      ________      ________
      1           6             7             8


           BETA
              I             S1            S2
              ________      ________      ________
 I                  0             0             0
 S1                 0             0             0
 S2                 0             0             0


           PSI
              I             S1            S2
              ________      ________      ________
 I                  9
 S1                10            11
 S2                12            13            14


     STARTING VALUES


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S1            S2
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         2.000         1.000
 Y5             1.000         2.000         2.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 Y5             0.000         0.000         0.000         0.000         0.500


           ALPHA
              I             S1            S2
              ________      ________      ________
      1         0.500         1.000         2.000


           BETA
              I             S1            S2
              ________      ________      ________
 I              0.000         0.000         0.000
 S1             0.000         0.000         0.000
 S2             0.000         0.000         0.000


           PSI
              I             S1            S2
              ________      ________      ________
 I              1.000
 S1             0.000         0.200
 S2             0.000         0.000         0.200


     POPULATION VALUES


           NU
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              I             S1            S2
              ________      ________      ________
 Y1             1.000         0.000         0.000
 Y2             1.000         1.000         0.000
 Y3             1.000         2.000         0.000
 Y4             1.000         2.000         1.000
 Y5             1.000         2.000         2.000


           THETA
              Y1            Y2            Y3            Y4            Y5
              ________      ________      ________      ________      ________
 Y1             0.500
 Y2             0.000         0.500
 Y3             0.000         0.000         0.500
 Y4             0.000         0.000         0.000         0.500
 Y5             0.000         0.000         0.000         0.000         0.500


           ALPHA
              I             S1            S2
              ________      ________      ________
 1              0.500         1.000         2.000


           BETA
              I             S1            S2
              ________      ________      ________
 I              0.000         0.000         0.000
 S1             0.000         0.000         0.000
 S2             0.000         0.000         0.000


           PSI
              I             S1            S2
              ________      ________      ________
 I              1.000
 S1             0.000         0.200
 S2             0.000         0.000         0.200


TECHNICAL 9 OUTPUT

  Error messages for each replication (if any)



SAVEDATA INFORMATION

  Order of variables

    Y1
    Y2
    Y3
    Y4
    Y5

  Save file
    ex6.11.dat

  Save file format           Free
  Save file record length    10000


     Beginning Time:  22:02:52
        Ending Time:  22:02:52
       Elapsed Time:  00:00:00



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