Mplus VERSION 7.4
MUTHEN & MUTHEN
06/03/2016   3:03 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;

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

  model constraint:
      new(ind*.15);
      ind = b*gamma1;





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                                  2
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y           M

Observed independent variables
   X           Z


Estimator                                                       ML
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
              ________      ________      ________      ________
 1              0.197         0.190         0.500         0.002


           Covariances
              Y             M             X             Z
              ________      ________      ________      ________
 Y              0.787
 M              0.446         0.737
 X              0.148         0.155         0.249
 Z              0.368         0.460         0.200         0.999


           Correlations
              Y             M             X             Z
              ________      ________      ________      ________
 Y              1.000
 M              0.585         1.000
 X              0.335         0.362         1.000
 Z              0.415         0.536         0.402         1.000


MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

    H0 Value

        Mean                              -855.918
        Std Dev                             19.943
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -902.311       -901.609
           0.980       0.982         -896.875       -895.805
           0.950       0.958         -888.722       -888.135
           0.900       0.898         -881.477       -882.260
           0.800       0.798         -872.702       -873.710
           0.700       0.696         -866.376       -866.481
           0.500       0.488         -855.918       -856.284
           0.300       0.294         -845.460       -845.863
           0.200       0.208         -839.135       -838.284
           0.100       0.108         -830.360       -828.751
           0.050       0.044         -823.115       -823.612
           0.020       0.014         -814.962       -818.146
           0.010       0.010         -809.526       -812.270

    H1 Value

        Mean                              -855.918
        Std Dev                             19.943
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.992         -902.311       -901.609
           0.980       0.982         -896.875       -895.805
           0.950       0.958         -888.722       -888.134
           0.900       0.898         -881.477       -882.260
           0.800       0.798         -872.702       -873.710
           0.700       0.696         -866.376       -866.481
           0.500       0.488         -855.918       -856.284
           0.300       0.294         -845.460       -845.863
           0.200       0.208         -839.135       -838.284
           0.100       0.108         -830.360       -828.751
           0.050       0.044         -823.115       -823.612
           0.020       0.014         -814.962       -818.146
           0.010       0.010         -809.526       -812.270

Information Criteria

    Akaike (AIC)

        Mean                              1729.837
        Std Dev                             39.885
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1637.051       1636.241
           0.980       0.986         1647.924       1654.178
           0.950       0.956         1664.229       1665.138
           0.900       0.892         1678.720       1674.985
           0.800       0.792         1696.269       1694.385
           0.700       0.706         1708.921       1709.521
           0.500       0.512         1729.837       1730.351
           0.300       0.304         1750.753       1750.958
           0.200       0.202         1763.404       1764.095
           0.100       0.102         1780.954       1781.443
           0.050       0.042         1795.444       1793.897
           0.020       0.018         1811.749       1809.583
           0.010       0.008         1822.622       1820.160

    Bayesian (BIC)

        Mean                              1765.760
        Std Dev                             39.885
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1672.975       1672.164
           0.980       0.986         1683.847       1690.102
           0.950       0.956         1700.153       1701.061
           0.900       0.892         1714.643       1710.908
           0.800       0.792         1732.192       1730.309
           0.700       0.706         1744.844       1745.445
           0.500       0.512         1765.760       1766.274
           0.300       0.304         1786.676       1786.881
           0.200       0.202         1799.327       1800.018
           0.100       0.102         1816.877       1817.366
           0.050       0.042         1831.367       1829.820
           0.020       0.018         1847.672       1845.506
           0.010       0.008         1858.545       1856.083

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

        Mean                              1737.202
        Std Dev                             39.885
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1644.417       1643.607
           0.980       0.986         1655.290       1661.544
           0.950       0.956         1671.595       1672.503
           0.900       0.892         1686.085       1682.351
           0.800       0.792         1703.635       1701.751
           0.700       0.706         1716.286       1716.887
           0.500       0.512         1737.202       1737.717
           0.300       0.304         1758.118       1758.323
           0.200       0.202         1770.770       1771.460
           0.100       0.102         1788.319       1788.809
           0.050       0.042         1802.810       1801.263
           0.020       0.018         1819.115       1816.949
           0.010       0.008         1829.988       1827.525

Chi-Square Test of Model Fit

        Degrees of freedom                       0

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.000          0.000
           0.980       1.000            0.000          0.000
           0.950       1.000            0.000          0.000
           0.900       1.000            0.000          0.000
           0.800       1.000            0.000          0.000
           0.700       1.000            0.000          0.000
           0.500       1.000            0.000          0.000
           0.300       1.000            0.000          0.000
           0.200       1.000            0.000          0.000
           0.100       1.000            0.000          0.000
           0.050       1.000            0.000          0.000
           0.020       1.000            0.000          0.000
           0.010       1.000            0.000          0.000

RMSEA (Root Mean Square Error Of Approximation)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations      500

             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

CFI/TLI

    CFI

        Mean                                 1.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.982            1.000          1.000
           0.980       0.976            1.000          1.000
           0.950       0.954            1.000          1.000
           0.900       0.900            1.000          1.000
           0.800       0.792            1.000          1.000
           0.700       0.702            1.000          1.000
           0.500       0.514            1.000          1.000
           0.300       0.332            1.000          1.000
           0.200       0.230            1.000          1.000
           0.100       0.094            1.000          1.000
           0.050       0.034            1.000          1.000
           0.020       0.004            1.000          1.000
           0.010       0.002            1.000          1.000

    TLI

        Mean                                 1.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.000            1.000          1.000
           0.980       0.000            1.000          1.000
           0.950       0.000            1.000          1.000
           0.900       0.000            1.000          1.000
           0.800       0.000            1.000          1.000
           0.700       0.000            1.000          1.000
           0.500       0.000            1.000          1.000
           0.300       0.000            1.000          1.000
           0.200       0.000            1.000          1.000
           0.100       0.000            1.000          1.000
           0.050       0.000            1.000          1.000
           0.020       0.000            1.000          1.000
           0.010       0.000            1.000          1.000

SRMR (Standardized Root Mean Square Residual)

        Mean                                 0.000
        Std Dev                              0.000
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       1.000            0.000          0.000
           0.980       0.998            0.000          0.000
           0.950       0.976            0.000          0.000
           0.900       0.892            0.000          0.000
           0.800       0.744            0.000          0.000
           0.700       0.658            0.000          0.000
           0.500       0.492            0.000          0.000
           0.300       0.328            0.000          0.000
           0.200       0.222            0.000          0.000
           0.100       0.112            0.000          0.000
           0.050       0.044            0.000          0.000
           0.020       0.018            0.000          0.000
           0.010       0.004            0.000          0.000


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     0.0496     0.0027 0.932 1.000
  X                   0.200     0.2056     0.0782     0.0784     0.0061 0.946 0.756
  Z                   0.100     0.0963     0.0470     0.0433     0.0022 0.936 0.596

 M        ON
  X                   0.300     0.3010     0.0788     0.0777     0.0062 0.950 0.972
  Z                   0.300     0.4005     0.0390     0.0389     0.0116 0.272 1.000

 Intercepts
  Y                   0.000    -0.0017     0.0527     0.0522     0.0028 0.934 0.066
  M                   0.000     0.0393     0.0530     0.0526     0.0043 0.882 0.118

 Residual Variances
  Y                   0.500     0.4938     0.0341     0.0349     0.0012 0.932 1.000
  M                   0.500     0.5037     0.0344     0.0356     0.0012 0.954 1.000

New/Additional Parameters
  IND                 0.150     0.1506     0.0423     0.0419     0.0018 0.958 0.970


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
              ________      ________      ________      ________
      1           0             0             0             0


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


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


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


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


           PSI
              Y             M             X             Z
              ________      ________      ________      ________
 Y                  8
 M                  0             9
 X                  0             0             0
 Z                  0             0             0             0


     PARAMETER SPECIFICATION FOR THE ADDITIONAL PARAMETERS


           New/Additional Parameters
              IND
              ________
 1                 10


     STARTING VALUES


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


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


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


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


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


           PSI
              Y             M             X             Z
              ________      ________      ________      ________
 Y              0.500
 M              0.000         0.500
 X              0.000         0.000         0.249
 Z              0.000         0.000         0.234         1.054


     STARTING VALUES FOR THE ADDITIONAL PARAMETERS


           New/Additional Parameters
              IND
              ________
 1              0.150


DIAGRAM INFORMATION

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


     Beginning Time:  15:03:33
        Ending Time:  15:03:36
       Elapsed Time:  00:00:03



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