Mplus VERSION 6
MUTHEN & MUTHEN
04/25/2010  10:58 PM

INPUT INSTRUCTIONS

  TITLE:
          cont5

          Growth model for two parallel processes observed over
          four time points. Regression of the slope in one process
          on the intercept of the other and a covariate.
          Non-linear growth for the first process by estimating the
          last two timesteps. Linear growth for the second process.

          First process: y11, y12, y13, y14
          Second process: y21, y22, y23, y24

          For related work, see:

          Muthen, B. (1997). Latent variable modeling with longitudinal
          and and multilevel data.  In A. Raftery (ed.), Sociological
          Methodology 1997 (pp. 453-480).  Boston: Blackwell Publishers.


  DATA:
          FILE IS comp.dat;
         FORMAT is 3f8 f8.4 8f8.2 3f8 2f8.2;

  VARIABLE:
          NAMES ARE g1 g2 cluster g3
          y11-y14
          y21-y24
          x1-x5;
          USEOBS = (x1 EQ 1 AND g1 EQ 2);
          MISSING = ALL (999);
          USEVAR =  y11-y24 x4;

  ANALYSIS:
          TYPE = MEANSTRUCTURE;

  MODEL:
          level1 BY y11-y14@1;
          trend1 BY y11@0 y12@1 y13*2.5 y14*3.5;
          level2 BY y21-y24@1;
          trend2 BY y21@0 y22@1 y23@2 y24@3;

          [y11-y24@0];
          [level1 trend1 level2 trend2];

          level1-trend2 ON x4;

  !        the statement above lets all 4 growth factors be
  !        regressed on the covariate,
  !        while the statement below adds that the trend
  !        growth factors are also regressed on the level
  !        growth factor of the other process

          trend1 ON level2;
          trend2 ON level1;

           level1 WITH level2;

  !        the statement above correlates the residuals of the
  !        level growth factors, while the residuals of the
  !        trend growth factors are correlated by default given
  !        that the trend growth factors do not influence other
  !        latent variables

          y21 WITH y22;

  !        the statement above correlates the residuals of the
  !        second growth process' first two outcomes


  OUTPUT:  STANDARDIZED;




*** WARNING in ANALYSIS command
  Starting with Version 5, TYPE=MEANSTRUCTURE is the default for all
  analyses.  To remove means from the model, use
  MODEL=NOMEANSTRUCTURE in the ANALYSIS command.
*** WARNING
  Data set contains cases with missing on all variables.
  These cases were not included in the analysis.
  Number of cases with missing on all variables:  1
*** WARNING
  Data set contains cases with missing on x-variables.
  These cases were not included in the analysis.
  Number of cases with missing on x-variables:  6
*** WARNING
  Data set contains cases with missing on all variables except
  x-variables.  These cases were not included in the analysis.
  Number of cases with missing on all variables except x-variables:  1
   4 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS




cont5

Growth model for two parallel processes observed over
four time points. Regression of the slope in one process
on the intercept of the other and a covariate.
Non-linear growth for the first process by estimating the
last two timesteps. Linear growth for the second process.

First process: y11, y12, y13, y14
Second process: y21, y22, y23, y24

For related work, see:

Muthen, B. (1997). Latent variable modeling with longitudinal
and and multilevel data.  In A. Raftery (ed.), Sociological
Methodology 1997 (pp. 453-480).  Boston: Blackwell Publishers.

SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                        1482

Number of dependent variables                                    8
Number of independent variables                                  1
Number of continuous latent variables                            4

Observed dependent variables

  Continuous
   Y11         Y12         Y13         Y14         Y21         Y22
   Y23         Y24

Observed independent variables
   X4

Continuous latent variables
   LEVEL1      TREND1      LEVEL2      TREND2


Estimator                                                       ML
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03

Input data file(s)
  comp.dat

Input data format
  (3F8 F8.4 8F8.2 3F8 2F8.2)


SUMMARY OF DATA

     Number of missing data patterns            49


COVARIANCE COVERAGE OF DATA

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              Y11           Y12           Y13           Y14           Y21
              ________      ________      ________      ________      ________
 Y11            0.986
 Y12            0.881         0.889
 Y13            0.789         0.757         0.798
 Y14            0.742         0.707         0.702         0.749
 Y21            0.978         0.881         0.790         0.742         0.991
 Y22            0.865         0.868         0.744         0.694         0.868
 Y23            0.778         0.746         0.769         0.690         0.779
 Y24            0.756         0.720         0.710         0.735         0.756
 X4             0.986         0.889         0.798         0.749         0.991


           Covariance Coverage
              Y22           Y23           Y24           X4
              ________      ________      ________      ________
 Y22            0.876
 Y23            0.732         0.787
 Y24            0.707         0.702         0.763
 X4             0.876         0.787         0.763         1.000



THE MODEL ESTIMATION TERMINATED NORMALLY



TESTS OF MODEL FIT

Chi-Square Test of Model Fit

          Value                             60.994
          Degrees of Freedom                    25
          P-Value                           0.0001

Chi-Square Test of Model Fit for the Baseline Model

          Value                           6235.228
          Degrees of Freedom                    36
          P-Value                           0.0000

CFI/TLI

          CFI                                0.994
          TLI                                0.992

Loglikelihood

          H0 Value                      -29827.812
          H1 Value                      -29797.315

Information Criteria

          Number of Free Parameters             27
          Akaike (AIC)                   59709.624
          Bayesian (BIC)                 59852.755
          Sample-Size Adjusted BIC       59766.984
            (n* = (n + 2) / 24)

RMSEA (Root Mean Square Error Of Approximation)

          Estimate                           0.031
          90 Percent C.I.                    0.021  0.041
          Probability RMSEA <= .05           0.999

SRMR (Standardized Root Mean Square Residual)

          Value                              0.036



MODEL RESULTS

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

 LEVEL1   BY
    Y11                1.000      0.000    999.000    999.000
    Y12                1.000      0.000    999.000    999.000
    Y13                1.000      0.000    999.000    999.000
    Y14                1.000      0.000    999.000    999.000

 TREND1   BY
    Y11                0.000      0.000    999.000    999.000
    Y12                1.000      0.000    999.000    999.000
    Y13                2.331      0.109     21.343      0.000
    Y14                3.378      0.164     20.598      0.000

 LEVEL2   BY
    Y21                1.000      0.000    999.000    999.000
    Y22                1.000      0.000    999.000    999.000
    Y23                1.000      0.000    999.000    999.000
    Y24                1.000      0.000    999.000    999.000

 TREND2   BY
    Y21                0.000      0.000    999.000    999.000
    Y22                1.000      0.000    999.000    999.000
    Y23                2.000      0.000    999.000    999.000
    Y24                3.000      0.000    999.000    999.000

 TREND1   ON
    LEVEL2             0.221      0.051      4.319      0.000

 TREND2   ON
    LEVEL1            -0.009      0.004     -2.261      0.024

 LEVEL1   ON
    X4                 3.963      0.314     12.636      0.000

 TREND1   ON
    X4                 0.326      0.089      3.677      0.000

 LEVEL2   ON
    X4                 0.185      0.091      2.025      0.043

 TREND2   ON
    X4                 0.022      0.043      0.509      0.611

 LEVEL1   WITH
    LEVEL2             5.213      0.600      8.682      0.000

 TREND2   WITH
    TREND1             0.077      0.067      1.151      0.250

 Y21      WITH
    Y22                0.940      0.173      5.442      0.000

 Intercepts
    Y11                0.000      0.000    999.000    999.000
    Y12                0.000      0.000    999.000    999.000
    Y13                0.000      0.000    999.000    999.000
    Y14                0.000      0.000    999.000    999.000
    Y21                0.000      0.000    999.000    999.000
    Y22                0.000      0.000    999.000    999.000
    Y23                0.000      0.000    999.000    999.000
    Y24                0.000      0.000    999.000    999.000
    LEVEL1            51.664      0.234    221.135      0.000
    TREND1             0.129      0.567      0.228      0.820
    LEVEL2            11.147      0.067    165.855      0.000
    TREND2             0.146      0.204      0.718      0.473

 Residual Variances
    Y11               11.909      0.990     12.029      0.000
    Y12               13.902      0.833     16.682      0.000
    Y13               16.623      1.079     15.405      0.000
    Y14               26.400      1.907     13.842      0.000
    Y21                4.212      0.232     18.172      0.000
    Y22                3.699      0.203     18.200      0.000
    Y23                3.412      0.194     17.595      0.000
    Y24                3.365      0.268     12.536      0.000
    LEVEL1            68.630      2.808     24.441      0.000
    TREND1             1.836      0.296      6.213      0.000
    LEVEL2             3.147      0.207     15.210      0.000
    TREND2             0.263      0.038      6.875      0.000


STANDARDIZED MODEL RESULTS


STDYX Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

 LEVEL1   BY
    Y11                0.931      0.006    156.559      0.000
    Y12                0.892      0.006    138.564      0.000
    Y13                0.823      0.010     84.512      0.000
    Y14                0.742      0.012     63.858      0.000

 TREND1   BY
    Y11                0.000      0.000    999.000    999.000
    Y12                0.146      0.011     13.566      0.000
    Y13                0.314      0.017     18.301      0.000
    Y14                0.410      0.021     19.634      0.000

 LEVEL2   BY
    Y21                0.655      0.018     36.695      0.000
    Y22                0.671      0.018     36.910      0.000
    Y23                0.651      0.019     34.544      0.000
    Y24                0.604      0.019     31.605      0.000

 TREND2   BY
    Y21                0.000      0.000    999.000    999.000
    Y22                0.195      0.014     13.489      0.000
    Y23                0.379      0.026     14.629      0.000
    Y24                0.528      0.035     15.236      0.000

 TREND1   ON
    LEVEL2             0.274      0.062      4.387      0.000

 TREND2   ON
    LEVEL1            -0.148      0.065     -2.283      0.022

 LEVEL1   ON
    X4                 0.332      0.025     13.422      0.000

 TREND1   ON
    X4                 0.167      0.045      3.747      0.000

 LEVEL2   ON
    X4                 0.076      0.038      2.030      0.042

 TREND2   ON
    X4                 0.031      0.062      0.509      0.611

 LEVEL1   WITH
    LEVEL2             0.355      0.036      9.789      0.000

 TREND2   WITH
    TREND1             0.111      0.094      1.182      0.237

 Y21      WITH
    Y22                0.238      0.037      6.469      0.000

 Intercepts
    Y11                0.000      0.000    999.000    999.000
    Y12                0.000      0.000    999.000    999.000
    Y13                0.000      0.000    999.000    999.000
    Y14                0.000      0.000    999.000    999.000
    Y21                0.000      0.000    999.000    999.000
    Y22                0.000      0.000    999.000    999.000
    Y23                0.000      0.000    999.000    999.000
    Y24                0.000      0.000    999.000    999.000
    LEVEL1             5.883      0.122     48.061      0.000
    TREND1             0.090      0.395      0.227      0.820
    LEVEL2             6.266      0.209     29.983      0.000
    TREND2             0.282      0.391      0.722      0.470

 Residual Variances
    Y11                0.134      0.011     12.088      0.000
    Y12                0.143      0.009     16.514      0.000
    Y13                0.146      0.010     14.911      0.000
    Y14                0.188      0.014     13.443      0.000
    Y21                0.571      0.023     24.419      0.000
    Y22                0.525      0.022     23.943      0.000
    Y23                0.457      0.020     22.928      0.000
    Y24                0.388      0.029     13.454      0.000
    LEVEL1             0.890      0.016     54.275      0.000
    TREND1             0.890      0.038     23.383      0.000
    LEVEL2             0.994      0.006    172.529      0.000
    TREND2             0.980      0.017     56.412      0.000


STDY Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

 LEVEL1   BY
    Y11                0.931      0.006    156.559      0.000
    Y12                0.892      0.006    138.564      0.000
    Y13                0.823      0.010     84.512      0.000
    Y14                0.742      0.012     63.858      0.000

 TREND1   BY
    Y11                0.000      0.000    999.000    999.000
    Y12                0.146      0.011     13.566      0.000
    Y13                0.314      0.017     18.301      0.000
    Y14                0.410      0.021     19.634      0.000

 LEVEL2   BY
    Y21                0.655      0.018     36.695      0.000
    Y22                0.671      0.018     36.910      0.000
    Y23                0.651      0.019     34.544      0.000
    Y24                0.604      0.019     31.605      0.000

 TREND2   BY
    Y21                0.000      0.000    999.000    999.000
    Y22                0.195      0.014     13.489      0.000
    Y23                0.379      0.026     14.629      0.000
    Y24                0.528      0.035     15.236      0.000

 TREND1   ON
    LEVEL2             0.274      0.062      4.387      0.000

 TREND2   ON
    LEVEL1            -0.148      0.065     -2.283      0.022

 LEVEL1   ON
    X4                 0.451      0.033     13.752      0.000

 TREND1   ON
    X4                 0.227      0.060      3.755      0.000

 LEVEL2   ON
    X4                 0.104      0.051      2.031      0.042

 TREND2   ON
    X4                 0.043      0.084      0.509      0.611

 LEVEL1   WITH
    LEVEL2             0.355      0.036      9.789      0.000

 TREND2   WITH
    TREND1             0.111      0.094      1.182      0.237

 Y21      WITH
    Y22                0.238      0.037      6.469      0.000

 Intercepts
    Y11                0.000      0.000    999.000    999.000
    Y12                0.000      0.000    999.000    999.000
    Y13                0.000      0.000    999.000    999.000
    Y14                0.000      0.000    999.000    999.000
    Y21                0.000      0.000    999.000    999.000
    Y22                0.000      0.000    999.000    999.000
    Y23                0.000      0.000    999.000    999.000
    Y24                0.000      0.000    999.000    999.000
    LEVEL1             5.883      0.122     48.061      0.000
    TREND1             0.090      0.395      0.227      0.820
    LEVEL2             6.266      0.209     29.983      0.000
    TREND2             0.282      0.391      0.722      0.470

 Residual Variances
    Y11                0.134      0.011     12.088      0.000
    Y12                0.143      0.009     16.514      0.000
    Y13                0.146      0.010     14.911      0.000
    Y14                0.188      0.014     13.443      0.000
    Y21                0.571      0.023     24.419      0.000
    Y22                0.525      0.022     23.943      0.000
    Y23                0.457      0.020     22.928      0.000
    Y24                0.388      0.029     13.454      0.000
    LEVEL1             0.890      0.016     54.275      0.000
    TREND1             0.890      0.038     23.383      0.000
    LEVEL2             0.994      0.006    172.529      0.000
    TREND2             0.980      0.017     56.412      0.000


STD Standardization

                                                    Two-Tailed
                    Estimate       S.E.  Est./S.E.    P-Value

 LEVEL1   BY
    Y11                8.782      0.178     49.238      0.000
    Y12                8.782      0.178     49.238      0.000
    Y13                8.782      0.178     49.238      0.000
    Y14                8.782      0.178     49.238      0.000

 TREND1   BY
    Y11                0.000      0.000    999.000    999.000
    Y12                1.436      0.106     13.493      0.000
    Y13                3.348      0.191     17.487      0.000
    Y14                4.851      0.270     17.935      0.000

 LEVEL2   BY
    Y21                1.779      0.058     30.498      0.000
    Y22                1.779      0.058     30.498      0.000
    Y23                1.779      0.058     30.498      0.000
    Y24                1.779      0.058     30.498      0.000

 TREND2   BY
    Y21                0.000      0.000    999.000    999.000
    Y22                0.518      0.037     13.897      0.000
    Y23                1.037      0.075     13.897      0.000
    Y24                1.555      0.112     13.897      0.000

 TREND1   ON
    LEVEL2             0.274      0.062      4.387      0.000

 TREND2   ON
    LEVEL1            -0.148      0.065     -2.283      0.022

 LEVEL1   ON
    X4                 0.451      0.033     13.752      0.000

 TREND1   ON
    X4                 0.227      0.060      3.755      0.000

 LEVEL2   ON
    X4                 0.104      0.051      2.031      0.042

 TREND2   ON
    X4                 0.043      0.084      0.509      0.611

 LEVEL1   WITH
    LEVEL2             0.355      0.036      9.789      0.000

 TREND2   WITH
    TREND1             0.111      0.094      1.182      0.237

 Y21      WITH
    Y22                0.940      0.173      5.442      0.000

 Intercepts
    Y11                0.000      0.000    999.000    999.000
    Y12                0.000      0.000    999.000    999.000
    Y13                0.000      0.000    999.000    999.000
    Y14                0.000      0.000    999.000    999.000
    Y21                0.000      0.000    999.000    999.000
    Y22                0.000      0.000    999.000    999.000
    Y23                0.000      0.000    999.000    999.000
    Y24                0.000      0.000    999.000    999.000
    LEVEL1             5.883      0.122     48.061      0.000
    TREND1             0.090      0.395      0.227      0.820
    LEVEL2             6.266      0.209     29.983      0.000
    TREND2             0.282      0.391      0.722      0.470

 Residual Variances
    Y11               11.909      0.990     12.029      0.000
    Y12               13.902      0.833     16.682      0.000
    Y13               16.623      1.079     15.405      0.000
    Y14               26.400      1.907     13.842      0.000
    Y21                4.212      0.232     18.172      0.000
    Y22                3.699      0.203     18.200      0.000
    Y23                3.412      0.194     17.595      0.000
    Y24                3.365      0.268     12.536      0.000
    LEVEL1             0.890      0.016     54.275      0.000
    TREND1             0.890      0.038     23.383      0.000
    LEVEL2             0.994      0.006    172.529      0.000
    TREND2             0.980      0.017     56.412      0.000


R-SQUARE

    Observed                                        Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    Y11                0.866      0.011     78.279      0.000
    Y12                0.857      0.009     98.658      0.000
    Y13                0.854      0.010     87.338      0.000
    Y14                0.812      0.014     57.916      0.000
    Y21                0.429      0.023     18.348      0.000
    Y22                0.475      0.022     21.620      0.000
    Y23                0.543      0.020     27.227      0.000
    Y24                0.612      0.029     21.194      0.000

     Latent                                         Two-Tailed
    Variable        Estimate       S.E.  Est./S.E.    P-Value

    LEVEL1             0.110      0.016      6.711      0.000
    TREND1             0.110      0.038      2.883      0.004
    LEVEL2             0.006      0.006      1.015      0.310
    TREND2             0.020      0.017      1.148      0.251


QUALITY OF NUMERICAL RESULTS

     Condition Number for the Information Matrix              0.661E-06
       (ratio of smallest to largest eigenvalue)


     Beginning Time:  22:58:08
        Ending Time:  22:58:08
       Elapsed Time:  00:00:00



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