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

INPUT INSTRUCTIONS

  title:

  montecarlo:
      names = y m x;
      nobs = 400;
      nreps = 500;
      repsave = all;
      save = xtoyrep*.dat;
      cutpoints = x(0);

  model population:
      x@1;
      y on x*.2;
      beta1 | y on m;
      beta1 on x*.2;
      [beta1*.3];
      beta1@0;
      m on x*.5;
      y*.75;
      m*.75;

  analysis:
      type = random;

  model:
      y on x*.2;
      beta1 | y on m;
      beta1 on x*.2;
      [beta1*.3];
      beta1@0;
      m on x*.5;
      y*.75;
      m*.75;
      [y*0];
      [m*0];




INPUT READING TERMINATED NORMALLY




SUMMARY OF ANALYSIS

Number of groups                                                 1
Number of observations                                         400

Number of replications
    Requested                                                  500
    Completed                                                  500
Value of seed                                                    0

Number of dependent variables                                    2
Number of independent variables                                  1
Number of continuous latent variables                            1

Observed dependent variables

  Continuous
   Y           M

Observed independent variables
   X

Continuous latent variables
   BETA1


Estimator                                                      MLR
Information matrix                                        OBSERVED
Maximum number of iterations                                   100
Convergence criterion                                    0.100D-05
Maximum number of EM iterations                                500
Convergence criteria for the EM algorithm
  Loglikelihood change                                   0.100D-02
  Relative loglikelihood change                          0.100D-05
  Derivative                                             0.100D-03
Minimum variance                                         0.100D-03
Maximum number of steepest descent iterations                   20
Optimization algorithm                                         EMA


SAMPLE STATISTICS FOR THE FIRST REPLICATION


     ESTIMATED SAMPLE STATISTICS


           Means
              Y             M             X
              ________      ________      ________
 1              0.292         0.283         0.540


           Covariances
              Y             M             X
              ________      ________      ________
 Y              0.868
 M              0.401         0.806
 X              0.084         0.124         0.248


           Correlations
              Y             M             X
              ________      ________      ________
 Y              1.000
 M              0.480         1.000
 X              0.182         0.277         1.000




MODEL FIT INFORMATION

Number of Free Parameters                        8

Loglikelihood

    H0 Value

        Mean                             -1016.425
        Std Dev                             20.238
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994        -1063.503      -1061.959
           0.980       0.984        -1057.987      -1057.019
           0.950       0.958        -1049.713      -1048.431
           0.900       0.906        -1042.361      -1042.153
           0.800       0.790        -1033.457      -1034.825
           0.700       0.682        -1027.037      -1027.674
           0.500       0.510        -1016.425      -1016.044
           0.300       0.290        -1005.812      -1006.200
           0.200       0.208         -999.393       -998.894
           0.100       0.096         -990.488       -990.952
           0.050       0.056         -983.136       -980.990
           0.020       0.020         -974.863       -974.989
           0.010       0.010         -969.346       -971.857

Information Criteria

    Akaike (AIC)

        Mean                              2048.849
        Std Dev                             40.475
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1954.692       1949.780
           0.980       0.980         1965.726       1965.618
           0.950       0.944         1982.272       1977.373
           0.900       0.904         1996.977       1997.052
           0.800       0.792         2014.786       2013.502
           0.700       0.710         2027.624       2028.317
           0.500       0.490         2048.849       2047.888
           0.300       0.318         2070.075       2071.296
           0.200       0.210         2082.913       2084.764
           0.100       0.094         2100.722       2099.934
           0.050       0.042         2115.427       2111.983
           0.020       0.016         2131.973       2129.105
           0.010       0.006         2143.007       2139.281

    Bayesian (BIC)

        Mean                              2080.781
        Std Dev                             40.475
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1986.624       1981.712
           0.980       0.980         1997.658       1997.549
           0.950       0.944         2014.204       2009.305
           0.900       0.904         2028.908       2028.983
           0.800       0.792         2046.717       2045.433
           0.700       0.710         2059.556       2060.249
           0.500       0.490         2080.781       2079.820
           0.300       0.318         2102.006       2103.228
           0.200       0.210         2114.845       2116.695
           0.100       0.094         2132.654       2131.865
           0.050       0.042         2147.359       2143.915
           0.020       0.016         2163.905       2161.036
           0.010       0.006         2174.938       2171.213

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

        Mean                              2055.397
        Std Dev                             40.475
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1961.240       1956.327
           0.980       0.980         1972.273       1972.165
           0.950       0.944         1988.819       1983.920
           0.900       0.904         2003.524       2003.599
           0.800       0.792         2021.333       2020.049
           0.700       0.710         2034.172       2034.864
           0.500       0.490         2055.397       2054.435
           0.300       0.318         2076.622       2077.843
           0.200       0.210         2089.460       2091.311
           0.100       0.094         2107.269       2106.481
           0.050       0.042         2121.974       2118.531
           0.020       0.016         2138.520       2135.652
           0.010       0.006         2149.554       2145.828



MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 BETA1      ON
  X                   0.200     0.2005     0.1012     0.0996     0.0102 0.956 0.506

 Y          ON
  X                   0.200     0.2028     0.0978     0.0936     0.0095 0.938 0.568

 M          ON
  X                   0.500     0.5013     0.0850     0.0864     0.0072 0.940 1.000

 Intercepts
  Y                   0.000    -0.0006     0.0612     0.0612     0.0037 0.950 0.050
  M                   0.000     0.0028     0.0591     0.0612     0.0035 0.960 0.040
  BETA1               0.300     0.3011     0.0698     0.0700     0.0049 0.958 0.990

 Residual Variances
  Y                   0.750     0.7451     0.0557     0.0522     0.0031 0.928 1.000
  M                   0.750     0.7449     0.0500     0.0524     0.0025 0.958 1.000
  BETA1               0.000     0.0000     0.0000     0.0000     0.0000 1.000 0.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.507E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             X
              ________      ________      ________
 1                  0             0             0


           LAMBDA
              BETA1         Y             M             X
              ________      ________      ________      ________
 Y                  0             0             0             0
 M                  0             0             0             0
 X                  0             0             0             0


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


           ALPHA
              BETA1         Y             M             X
              ________      ________      ________      ________
 1                  1             2             3             0


           BETA
              BETA1         Y             M             X
              ________      ________      ________      ________
 BETA1              0             0             0             4
 Y                  0             0             0             5
 M                  0             0             0             6
 X                  0             0             0             0


           PSI
              BETA1         Y             M             X
              ________      ________      ________      ________
 BETA1              0
 Y                  0             7
 M                  0             0             8
 X                  0             0             0             0


     STARTING VALUES


           NU
              Y             M             X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              BETA1         Y             M             X
              ________      ________      ________      ________
 Y              0.000         1.000         0.000         0.000
 M              0.000         0.000         1.000         0.000
 X              0.000         0.000         0.000         1.000


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


           ALPHA
              BETA1         Y             M             X
              ________      ________      ________      ________
 1              0.300         0.000         0.000         0.000


           BETA
              BETA1         Y             M             X
              ________      ________      ________      ________
 BETA1          0.000         0.000         0.000         0.200
 Y              0.000         0.000         0.000         0.200
 M              0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000


           PSI
              BETA1         Y             M             X
              ________      ________      ________      ________
 BETA1          0.000
 Y              0.000         0.750
 M              0.000         0.000         0.750
 X              0.000         0.000         0.000         0.500


     POPULATION VALUES


           NU
              Y             M             X
              ________      ________      ________
 1              0.000         0.000         0.000


           LAMBDA
              BETA1         Y             M             X
              ________      ________      ________      ________
 Y              0.000         1.000         0.000         0.000
 M              0.000         0.000         1.000         0.000
 X              0.000         0.000         0.000         1.000


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


           ALPHA
              BETA1         Y             M             X
              ________      ________      ________      ________
 1              0.300         0.000         0.000         0.000


           BETA
              BETA1         Y             M             X
              ________      ________      ________      ________
 BETA1          0.000         0.000         0.000         0.200
 Y              0.000         0.000         0.000         0.200
 M              0.000         0.000         0.000         0.500
 X              0.000         0.000         0.000         0.000


           PSI
              BETA1         Y             M             X
              ________      ________      ________      ________
 BETA1          0.000
 Y              0.000         0.750
 M              0.000         0.000         0.750
 X              0.000         0.000         0.000         1.000


SAVEDATA INFORMATION

  Order of variables

    Y
    M
    X

  Save file
    xtoyrep*.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:  15:02:34
        Ending Time:  15:03:17
       Elapsed Time:  00:00:43



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