Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016   7:58 PM

INPUT INSTRUCTIONS

  montecarlo:
      names = y x1-x4 z;
      cutpoints = x3-x4(1);
      nobservations = 200;
      nreps = 500;
      repsave = all;
      save = MARn200rep*.dat;

  model population:
      x1-z*1;
      x1-z with x1-z*.5;
      y on x1-x4*.5 z*.5;
      y*1;

  Analysis:
      estimator = mlr;

  Model:
      y on x1-x4*.5 z*.5;
      y*1;




INPUT READING TERMINATED NORMALLY




SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         200

Number of replications
    Requested                                                  500
    Completed                                                  500
Value of seed                                                    0

Number of dependent variables                                    1
Number of independent variables                                  5
Number of continuous latent variables                            0

Observed dependent variables

  Continuous
   Y

Observed independent variables
   X1          X2          X3          X4          Z


Estimator                                                      MLR
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
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
      1         0.276         0.026         0.080         0.165         0.145


           Means
              Z
              ________
      1         0.024


           Covariances
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              3.033
 X1             1.109         1.016
 X2             1.044         0.496         0.926
 X3             0.312         0.123         0.100         0.138
 X4             0.150         0.079         0.071         0.031         0.124
 Z              1.214         0.445         0.486         0.148         0.087


           Covariances
              Z
              ________
 Z              1.015


           Correlations
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              1.000
 X1             0.632         1.000
 X2             0.623         0.512         1.000
 X3             0.483         0.329         0.281         1.000
 X4             0.245         0.222         0.210         0.238         1.000
 Z              0.692         0.439         0.501         0.396         0.245


           Correlations
              Z
              ________
 Z              1.000


MODEL FIT INFORMATION

Number of Free Parameters                        7

Loglikelihood

    H0 Value

        Mean                              -281.000
        Std Dev                              9.526
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         -303.160       -305.634
           0.980       0.980         -300.563       -300.925
           0.950       0.956         -296.669       -295.940
           0.900       0.908         -293.208       -293.009
           0.800       0.812         -289.017       -288.625
           0.700       0.694         -285.995       -286.053
           0.500       0.476         -281.000       -281.450
           0.300       0.296         -276.004       -276.318
           0.200       0.198         -272.983       -273.035
           0.100       0.098         -268.791       -268.972
           0.050       0.052         -265.331       -264.508
           0.020       0.030         -261.436       -260.659
           0.010       0.012         -258.840       -257.897

    H1 Value

        Mean                              -281.000
        Std Dev                              9.526
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986         -303.160       -305.634
           0.980       0.980         -300.563       -300.925
           0.950       0.956         -296.669       -295.940
           0.900       0.908         -293.208       -293.009
           0.800       0.812         -289.017       -288.625
           0.700       0.694         -285.995       -286.053
           0.500       0.476         -281.000       -281.450
           0.300       0.296         -276.004       -276.318
           0.200       0.198         -272.983       -273.035
           0.100       0.098         -268.791       -268.972
           0.050       0.052         -265.331       -264.508
           0.020       0.030         -261.436       -260.659
           0.010       0.012         -258.840       -257.897

Information Criteria

    Akaike (AIC)

        Mean                               576.000
        Std Dev                             19.052
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988          531.679        527.267
           0.980       0.970          536.873        534.201
           0.950       0.948          544.661        542.321
           0.900       0.902          551.583        551.443
           0.800       0.802          559.966        559.890
           0.700       0.704          566.009        566.552
           0.500       0.524          576.000        576.765
           0.300       0.306          585.990        586.051
           0.200       0.188          592.034        590.765
           0.100       0.092          600.416        599.725
           0.050       0.044          607.338        605.642
           0.020       0.020          615.126        614.030
           0.010       0.014          620.320        622.004

    Bayesian (BIC)

        Mean                               599.088
        Std Dev                             19.052
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988          554.768        550.355
           0.980       0.970          559.961        557.289
           0.950       0.948          567.749        565.409
           0.900       0.902          574.671        574.531
           0.800       0.802          583.054        582.978
           0.700       0.704          589.097        589.641
           0.500       0.524          599.088        599.854
           0.300       0.306          609.079        609.139
           0.200       0.188          615.122        613.853
           0.100       0.092          623.505        622.813
           0.050       0.044          630.426        628.730
           0.020       0.020          638.215        637.118
           0.010       0.014          643.408        645.092

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

        Mean                               576.911
        Std Dev                             19.052
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988          532.591        528.178
           0.980       0.970          537.784        535.112
           0.950       0.948          545.573        543.232
           0.900       0.902          552.494        552.354
           0.800       0.802          560.877        560.801
           0.700       0.704          566.920        567.464
           0.500       0.524          576.911        577.677
           0.300       0.306          586.902        586.962
           0.200       0.188          592.945        591.676
           0.100       0.092          601.328        600.636
           0.050       0.044          608.249        606.553
           0.020       0.020          616.038        614.941
           0.010       0.014          621.231        622.915

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

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       0.996            0.000          0.000
           0.980       0.988            0.000          0.000
           0.950       0.970            0.000          0.000
           0.900       0.902            0.000          0.000
           0.800       0.794            0.000          0.000
           0.700       0.700            0.000          0.000
           0.500       0.492            0.000          0.000
           0.300       0.282            0.000          0.000
           0.200       0.198            0.000          0.000
           0.100       0.096            0.000          0.000
           0.050       0.060            0.000          0.000
           0.020       0.020            0.000          0.000
           0.010       0.008            0.000          0.000


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y        ON
  X1                  0.500     0.5046     0.0904     0.0880     0.0082 0.944 1.000
  X2                  0.500     0.4980     0.0881     0.0880     0.0078 0.948 1.000
  X3                  0.500     0.4956     0.2338     0.2128     0.0546 0.916 0.620
  X4                  0.500     0.5067     0.2172     0.2126     0.0471 0.948 0.660
  Z                   0.500     0.4922     0.0917     0.0879     0.0085 0.936 0.998

 Intercepts
  Y                   0.000    -0.0030     0.0883     0.0834     0.0078 0.950 0.050

 Residual Variances
  Y                   1.000     0.9769     0.0931     0.0963     0.0092 0.930 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.423E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
      1           0             0             0             0             0


           NU
              Z
              ________
      1           0


           LAMBDA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y                  0             0             0             0             0
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0
 X4                 0             0             0             0             0
 Z                  0             0             0             0             0


           LAMBDA
              Z
              ________
 Y                  0
 X1                 0
 X2                 0
 X3                 0
 X4                 0
 Z                  0


           THETA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y                  0
 X1                 0             0
 X2                 0             0             0
 X3                 0             0             0             0
 X4                 0             0             0             0             0
 Z                  0             0             0             0             0


           THETA
              Z
              ________
 Z                  0


           ALPHA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
      1           1             0             0             0             0


           ALPHA
              Z
              ________
      1           0


           BETA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y                  0             2             3             4             5
 X1                 0             0             0             0             0
 X2                 0             0             0             0             0
 X3                 0             0             0             0             0
 X4                 0             0             0             0             0
 Z                  0             0             0             0             0


           BETA
              Z
              ________
 Y                  6
 X1                 0
 X2                 0
 X3                 0
 X4                 0
 Z                  0


           PSI
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y                  7
 X1                 0             0
 X2                 0             0             0
 X3                 0             0             0             0
 X4                 0             0             0             0             0
 Z                  0             0             0             0             0


           PSI
              Z
              ________
 Z                  0


     STARTING VALUES


           NU
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000         0.000


           NU
              Z
              ________
      1         0.000


           LAMBDA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              1.000         0.000         0.000         0.000         0.000
 X1             0.000         1.000         0.000         0.000         0.000
 X2             0.000         0.000         1.000         0.000         0.000
 X3             0.000         0.000         0.000         1.000         0.000
 X4             0.000         0.000         0.000         0.000         1.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Z
              ________
 Y              0.000
 X1             0.000
 X2             0.000
 X3             0.000
 X4             0.000
 Z              1.000


           THETA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000
 X4             0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              Z
              ________
 Z              0.000


           ALPHA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
      1         0.000         0.026         0.080         0.165         0.145


           ALPHA
              Z
              ________
      1         0.024


           BETA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              0.000         0.500         0.500         0.500         0.500
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000
 X4             0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              Z
              ________
 Y              0.500
 X1             0.000
 X2             0.000
 X3             0.000
 X4             0.000
 Z              0.000


           PSI
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              1.000
 X1             0.000         1.016
 X2             0.000         0.496         0.926
 X3             0.000         0.123         0.100         0.138
 X4             0.000         0.079         0.071         0.031         0.124
 Z              0.000         0.445         0.486         0.148         0.087


           PSI
              Z
              ________
 Z              1.015


     POPULATION VALUES


           NU
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           NU
              Z
              ________
 1              0.000


           LAMBDA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              1.000         0.000         0.000         0.000         0.000
 X1             0.000         1.000         0.000         0.000         0.000
 X2             0.000         0.000         1.000         0.000         0.000
 X3             0.000         0.000         0.000         1.000         0.000
 X4             0.000         0.000         0.000         0.000         1.000
 Z              0.000         0.000         0.000         0.000         0.000


           LAMBDA
              Z
              ________
 Y              0.000
 X1             0.000
 X2             0.000
 X3             0.000
 X4             0.000
 Z              1.000


           THETA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              0.000
 X1             0.000         0.000
 X2             0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000
 X4             0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           THETA
              Z
              ________
 Z              0.000


           ALPHA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 1              0.000         0.000         0.000         0.000         0.000


           ALPHA
              Z
              ________
 1              0.000


           BETA
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              0.000         0.500         0.500         0.500         0.500
 X1             0.000         0.000         0.000         0.000         0.000
 X2             0.000         0.000         0.000         0.000         0.000
 X3             0.000         0.000         0.000         0.000         0.000
 X4             0.000         0.000         0.000         0.000         0.000
 Z              0.000         0.000         0.000         0.000         0.000


           BETA
              Z
              ________
 Y              0.500
 X1             0.000
 X2             0.000
 X3             0.000
 X4             0.000
 Z              0.000


           PSI
              Y             X1            X2            X3            X4
              ________      ________      ________      ________      ________
 Y              1.000
 X1             0.000         1.000
 X2             0.000         0.500         1.000
 X3             0.000         0.500         0.500         1.000
 X4             0.000         0.500         0.500         0.500         1.000
 Z              0.000         0.500         0.500         0.500         0.500


           PSI
              Z
              ________
 Z              1.000


SAVEDATA INFORMATION

  Order of variables

    Y
    X1
    X2
    X3
    X4
    Z

  Save file
    MARn200rep*.dat

  Save file format           Free
  Save file record length    10000


DIAGRAM INFORMATION

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


     Beginning Time:  19:58:53
        Ending Time:  19:58:54
       Elapsed Time:  00:00:01



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