Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016   3:02 PM

INPUT INSTRUCTIONS

  title:
      Step 2
      Simulating Z moderation of X to M using a random slope,
      saving the data for external Monte Carlo analysis
  Data:
      file xzreplist.dat;
      type = montecarlo;

  Variable:
      names = y m x z;
      usevariables = y m x z xz;

  Define:
      xz = x*z;

  Analysis:
      estimator = mlr;

  model:
      y on m*.5 (b)
      x*.2 z*.1;
      y*.5; [y*0];
      m on x*.3 (gamma1);
      m on z*.3;
      m on xz*.2 (gamma3);
      m*.5; [m*0];

  model constraint:
      new(indavg*.15 indlow*.05 indhigh*.25);
      indavg = b*gamma1;
      indlow = b*(gamma1-gamma3);
      indhigh = b*(gamma1+gamma3);






INPUT READING TERMINATED NORMALLY




Step 2
Simulating Z moderation of X to M using a random slope,
saving the data for external Monte Carlo analysis

SUMMARY OF ANALYSIS

Number of groups                                                 1
Average number of observations                                 400

Number of replications
    Requested                                                  500
    Completed                                                  500

Number of dependent variables                                    2
Number of independent variables                                  3
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y           M

Observed independent variables
   X           Z           XZ


Estimator                                                      MLR
Information matrix                                        OBSERVED
Maximum number of iterations                                  1000
Convergence criterion                                    0.500D-04
Maximum number of steepest descent iterations                   20

Input data file(s)
  Multiple data files from
    xzreplist.dat

Input data format  FREE


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     SAMPLE STATISTICS


           Means
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 1              0.197         0.190         0.500         0.002         0.202


           Covariances
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.787
 M              0.446         0.737
 X              0.148         0.155         0.249
 Z              0.368         0.460         0.200         0.999
 XZ             0.205         0.273         0.101         0.500         0.460


           Correlations
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              1.000
 M              0.585         1.000
 X              0.335         0.362         1.000
 Z              0.415         0.536         0.402         1.000
 XZ             0.340         0.468         0.297         0.738         1.000


MODEL FIT INFORMATION

Number of Free Parameters                       10

Loglikelihood

    H0 Value

        Mean                              -852.092
        Std Dev                             19.695
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994         -897.908       -897.068
           0.980       0.982         -892.539       -891.919
           0.950       0.956         -884.488       -883.799
           0.900       0.914         -877.333       -876.733
           0.800       0.788         -868.667       -869.651
           0.700       0.694         -862.420       -862.759
           0.500       0.484         -852.092       -853.131
           0.300       0.294         -841.764       -842.159
           0.200       0.194         -835.517       -835.998
           0.100       0.110         -826.851       -826.193
           0.050       0.056         -819.696       -819.524
           0.020       0.016         -811.645       -814.454
           0.010       0.008         -806.276       -807.065

    H1 Value

        Mean                              -851.610
        Std Dev                             19.731
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994         -897.511       -896.413
           0.980       0.982         -892.133       -891.905
           0.950       0.958         -884.066       -882.982
           0.900       0.908         -876.898       -876.282
           0.800       0.786         -868.216       -869.245
           0.700       0.700         -861.957       -862.273
           0.500       0.484         -851.610       -852.214
           0.300       0.296         -841.263       -841.495
           0.200       0.196         -835.004       -835.617
           0.100       0.106         -826.322       -825.459
           0.050       0.050         -819.154       -819.211
           0.020       0.018         -811.088       -813.054
           0.010       0.006         -805.709       -806.934

Information Criteria

    Akaike (AIC)

        Mean                              1724.184
        Std Dev                             39.389
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         1632.553       1633.887
           0.980       0.984         1643.290       1647.598
           0.950       0.944         1659.393       1659.016
           0.900       0.890         1673.703       1671.094
           0.800       0.806         1691.034       1691.907
           0.700       0.706         1703.529       1704.232
           0.500       0.516         1724.184       1726.100
           0.300       0.306         1744.840       1745.511
           0.200       0.212         1757.335       1758.910
           0.100       0.086         1774.666       1772.917
           0.050       0.044         1788.976       1787.428
           0.020       0.018         1805.079       1803.239
           0.010       0.006         1815.816       1813.616

    Bayesian (BIC)

        Mean                              1764.099
        Std Dev                             39.389
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         1672.467       1673.801
           0.980       0.984         1683.205       1687.513
           0.950       0.944         1699.307       1698.930
           0.900       0.890         1713.617       1711.009
           0.800       0.806         1730.949       1731.822
           0.700       0.706         1743.443       1744.147
           0.500       0.516         1764.099       1766.014
           0.300       0.306         1784.755       1785.425
           0.200       0.212         1797.249       1798.824
           0.100       0.086         1814.581       1812.831
           0.050       0.044         1828.891       1827.343
           0.020       0.018         1844.993       1843.153
           0.010       0.006         1855.731       1853.531

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

        Mean                              1732.368
        Std Dev                             39.389
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         1640.737       1642.070
           0.980       0.984         1651.474       1655.782
           0.950       0.944         1667.577       1667.199
           0.900       0.890         1681.887       1679.278
           0.800       0.806         1699.218       1700.091
           0.700       0.706         1711.713       1712.416
           0.500       0.516         1732.368       1734.284
           0.300       0.306         1753.024       1753.695
           0.200       0.212         1765.519       1767.094
           0.100       0.086         1782.850       1781.101
           0.050       0.044         1797.160       1795.612
           0.020       0.018         1813.263       1811.423
           0.010       0.006         1824.000       1821.800

Chi-Square Test of Model Fit

        Degrees of freedom                       1

        Mean                                 0.991
        Std Dev                              1.478
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988            0.000          0.000
           0.980       0.982            0.001          0.001
           0.950       0.952            0.004          0.004
           0.900       0.904            0.016          0.017
           0.800       0.808            0.064          0.070
           0.700       0.698            0.148          0.146
           0.500       0.510            0.455          0.481
           0.300       0.272            1.074          0.981
           0.200       0.174            1.642          1.453
           0.100       0.094            2.706          2.583
           0.050       0.052            3.841          3.852
           0.020       0.022            5.412          5.486
           0.010       0.016            6.635          8.258

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.016
        Std Dev                              0.030
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           -0.055          0.000
           0.980       1.000           -0.047          0.000
           0.950       1.000           -0.034          0.000
           0.900       1.000           -0.023          0.000
           0.800       1.000           -0.010          0.000
           0.700       1.000            0.000          0.000
           0.500       0.268            0.016          0.000
           0.300       0.210            0.032          0.000
           0.200       0.172            0.042          0.034
           0.100       0.126            0.055          0.063
           0.050       0.094            0.066          0.084
           0.020       0.064            0.078          0.106
           0.010       0.048            0.087          0.135

CFI/TLI

    CFI

        Mean                                 0.999
        Std Dev                              0.004
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.960            0.990          0.980
           0.980       0.952            0.991          0.986
           0.950       0.930            0.993          0.991
           0.900       0.916            0.994          0.995
           0.800       0.888            0.996          0.999
           0.700       0.872            0.997          1.000
           0.500       0.802            0.999          1.000
           0.300       0.000            1.000          1.000
           0.200       0.000            1.002          1.000
           0.100       0.000            1.003          1.000
           0.050       0.000            1.004          1.000
           0.020       0.000            1.006          1.000
           0.010       0.000            1.007          1.000

    TLI

        Mean                                 1.000
        Std Dev                              0.030
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.962            0.931          0.863
           0.980       0.950            0.939          0.902
           0.950       0.930            0.951          0.939
           0.900       0.908            0.962          0.964
           0.800       0.876            0.975          0.990
           0.700       0.838            0.985          1.000
           0.500       0.698            1.000          1.011
           0.300       0.346            1.016          1.017
           0.200       0.008            1.025          1.018
           0.100       0.000            1.039          1.021
           0.050       0.000            1.049          1.022
           0.020       0.000            1.062          1.024
           0.010       0.000            1.070          1.025

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.005
        Std Dev                              0.003
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000           -0.003          0.000
           0.980       1.000           -0.003          0.000
           0.950       1.000           -0.001          0.000
           0.900       0.978            0.000          0.001
           0.800       0.770            0.002          0.002
           0.700       0.642            0.003          0.002
           0.500       0.434            0.005          0.004
           0.300       0.248            0.006          0.006
           0.200       0.170            0.008          0.007
           0.100       0.112            0.009          0.009
           0.050       0.070            0.010          0.011
           0.020       0.038            0.012          0.014
           0.010       0.032            0.013          0.015


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y        ON
  M                   0.500     0.5007     0.0524     0.0494     0.0027 0.922 1.000
  X                   0.200     0.2056     0.0783     0.0784     0.0061 0.938 0.754
  Z                   0.100     0.0963     0.0470     0.0433     0.0022 0.926 0.604

 M        ON
  X                   0.300     0.3010     0.0776     0.0770     0.0060 0.962 0.978
  Z                   0.300     0.2999     0.0531     0.0545     0.0028 0.966 1.000
  XZ                  0.200     0.2010     0.0775     0.0771     0.0060 0.950 0.744

 Intercepts
  Y                   0.000    -0.0017     0.0527     0.0522     0.0028 0.934 0.066
  M                   0.000    -0.0008     0.0543     0.0545     0.0029 0.946 0.054

 Residual Variances
  Y                   0.500     0.4938     0.0341     0.0347     0.0012 0.928 1.000
  M                   0.500     0.4941     0.0331     0.0346     0.0011 0.950 1.000

New/Additional Parameters
  INDAVG              0.150     0.1505     0.0417     0.0416     0.0017 0.956 0.974
  INDLOW              0.050     0.0497     0.0546     0.0548     0.0030 0.958 0.140
  INDHIGH             0.250     0.2514     0.0628     0.0603     0.0039 0.928 0.988


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.798E-03
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           LAMBDA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  0             0             0             0             0
 M                  0             0             0             0             0
 X                  0             0             0             0             0
 Z                  0             0             0             0             0
 XZ                 0             0             0             0             0


           THETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  0
 M                  0             0
 X                  0             0             0
 Z                  0             0             0             0
 XZ                 0             0             0             0             0


           ALPHA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
      1           1             2             0             0             0


           BETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  0             3             4             5             0
 M                  0             0             6             7             8
 X                  0             0             0             0             0
 Z                  0             0             0             0             0
 XZ                 0             0             0             0             0


           PSI
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y                  9
 M                  0            10
 X                  0             0             0
 Z                  0             0             0             0
 XZ                 0             0             0             0             0


     PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS


           New/Additional Parameters
              INDAVG        INDLOW        INDHIGH
              ________      ________      ________
 1                 11            12            13


     STARTING VALUES


           NU
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              1.000         0.000         0.000         0.000         0.000
 M              0.000         1.000         0.000         0.000         0.000
 X              0.000         0.000         1.000         0.000         0.000
 Z              0.000         0.000         0.000         1.000         0.000
 XZ             0.000         0.000         0.000         0.000         1.000


           THETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.000
 M              0.000         0.000
 X              0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000
 XZ             0.000         0.000         0.000         0.000         0.000


           ALPHA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.538         0.007         0.237


           BETA
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.000         0.500         0.200         0.100         0.000
 M              0.000         0.000         0.300         0.300         0.200
 X              0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000
 XZ             0.000         0.000         0.000         0.000         0.000


           PSI
              Y             M             X             Z             XZ
              ________      ________      ________      ________      ________
 Y              0.500
 M              0.000         0.500
 X              0.000         0.000         0.249
 Z              0.000         0.000         0.234         1.054
 XZ             0.000         0.000         0.110         0.540         0.485


     STARTING VALUES FOR THE ADDITIONAL PARAMETERS


           New/Additional Parameters
              INDAVG        INDLOW        INDHIGH
              ________      ________      ________
 1              0.150         0.050         0.250


DIAGRAM INFORMATION

  Mplus diagrams are currently not available for Monte Carlo analysis.
  No diagram output was produced.


     Beginning Time:  15:02:25
        Ending Time:  15:02:28
       Elapsed Time:  00:00:03



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