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

INPUT INSTRUCTIONS

  TITLE:	Example: MAR simulation

  DATA:
      FILE = n500mix00xreplist.dat;
      TYPE = MONTECARLO;
      LISTWISE = ON;

  VARIABLE:
  	NAMES = y m tx x;
      USEVARIABLES = y-x;
      MISSING = ALL(999);

  ANALYSIS:
      ESTIMATOR = MLR;

  MODEL:
     y on m*1 tx*0 x*0;
      y*.75;
      m on tx*-.5 x*.5;
      m*.5;
      [y-m*0];





INPUT READING TERMINATED NORMALLY



Example: MAR simulation

SUMMARY OF ANALYSIS

Number of groups                                                 1
Average number of observations                                 327

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
   TX          X


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
    n500mix00xreplist.dat

Input data format  FREE


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     SAMPLE STATISTICS


           Means
              Y             M             TX            X
              ________      ________      ________      ________
 1             -0.617        -0.616         0.558        -0.225


           Covariances
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.324
 M              0.574         0.574
 TX            -0.090        -0.088         0.246
 X              0.353         0.355         0.023         0.907


           Correlations
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.000
 M              0.658         1.000
 TX            -0.158        -0.235         1.000
 X              0.322         0.492         0.048         1.000


MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

    H0 Value

        Mean                              -728.408
        Std Dev                             29.909
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988         -797.984       -799.208
           0.980       0.982         -789.831       -789.159
           0.950       0.946         -777.605       -778.958
           0.900       0.906         -766.739       -766.244
           0.800       0.816         -753.579       -751.914
           0.700       0.694         -744.092       -745.226
           0.500       0.490         -728.408       -729.763
           0.300       0.322         -712.724       -711.069
           0.200       0.204         -703.237       -703.067
           0.100       0.114         -690.077       -688.868
           0.050       0.048         -679.212       -679.873
           0.020       0.012         -666.985       -670.761
           0.010       0.010         -658.832       -665.437

    H1 Value

        Mean                              -728.408
        Std Dev                             29.909
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988         -797.984       -799.208
           0.980       0.982         -789.831       -789.159
           0.950       0.946         -777.605       -778.958
           0.900       0.906         -766.739       -766.244
           0.800       0.816         -753.579       -751.914
           0.700       0.694         -744.092       -745.226
           0.500       0.490         -728.408       -729.763
           0.300       0.322         -712.724       -711.069
           0.200       0.204         -703.237       -703.067
           0.100       0.114         -690.077       -688.868
           0.050       0.048         -679.212       -679.873
           0.020       0.012         -666.985       -670.761
           0.010       0.010         -658.832       -665.437

Information Criteria

    Akaike (AIC)

        Mean                              1474.816
        Std Dev                             59.817
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1335.664       1334.028
           0.980       0.988         1351.970       1359.278
           0.950       0.952         1376.423       1376.763
           0.900       0.886         1398.155       1394.045
           0.800       0.796         1424.474       1423.992
           0.700       0.678         1443.448       1439.995
           0.500       0.510         1474.816       1476.512
           0.300       0.306         1506.184       1507.825
           0.200       0.184         1525.158       1521.571
           0.100       0.094         1551.478       1550.183
           0.050       0.054         1573.209       1573.846
           0.020       0.018         1597.663       1593.280
           0.010       0.012         1613.969       1616.390

    Bayesian (BIC)

        Mean                              1508.948
        Std Dev                             60.048
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1369.258       1367.181
           0.980       0.988         1385.627       1392.907
           0.950       0.952         1410.175       1410.622
           0.900       0.886         1431.990       1427.616
           0.800       0.794         1458.411       1457.650
           0.700       0.680         1477.459       1473.803
           0.500       0.510         1508.948       1510.483
           0.300       0.308         1540.437       1542.285
           0.200       0.182         1559.485       1555.872
           0.100       0.094         1585.906       1584.670
           0.050       0.054         1607.721       1608.438
           0.020       0.018         1632.269       1627.794
           0.010       0.012         1648.638       1651.086

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

        Mean                              1480.400
        Std Dev                             60.047
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.990         1340.713       1338.639
           0.980       0.988         1357.082       1364.362
           0.950       0.952         1381.629       1382.076
           0.900       0.886         1403.444       1399.072
           0.800       0.794         1429.865       1429.106
           0.700       0.680         1448.912       1445.255
           0.500       0.510         1480.400       1481.936
           0.300       0.308         1511.889       1513.736
           0.200       0.182         1530.936       1527.323
           0.100       0.094         1557.356       1556.120
           0.050       0.054         1579.171       1579.887
           0.020       0.018         1603.718       1599.244
           0.010       0.012         1620.087       1622.535

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       0.990            1.000          1.000
           0.980       0.980            1.000          1.000
           0.950       0.964            1.000          1.000
           0.900       0.914            1.000          1.000
           0.800       0.828            1.000          1.000
           0.700       0.718            1.000          1.000
           0.500       0.492            1.000          1.000
           0.300       0.234            1.000          1.000
           0.200       0.144            1.000          1.000
           0.100       0.080            1.000          1.000
           0.050       0.060            1.000          1.000
           0.020       0.050            1.000          1.000
           0.010       0.044            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       0.972            0.000          0.000
           0.980       0.966            0.000          0.000
           0.950       0.946            0.000          0.000
           0.900       0.912            0.000          0.000
           0.800       0.860            0.000          0.000
           0.700       0.776            0.000          0.000
           0.500       0.524            0.000          0.000
           0.300       0.268            0.000          0.000
           0.200       0.160            0.000          0.000
           0.100       0.070            0.000          0.000
           0.050       0.036            0.000          0.000
           0.020       0.016            0.000          0.000
           0.010       0.012            0.000          0.000


MODEL RESULTS

                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff
 Y        ON
  M                   1.000     0.9995     0.0760     0.0756     0.0058 0.946 1.000
  TX                  0.000    -0.0082     0.0978     0.1009     0.0096 0.966 0.034
  X                   0.000    -0.0009     0.0605     0.0586     0.0037 0.936 0.064

 M        ON
  TX                 -0.500    -0.3965     0.0691     0.0698     0.0155 0.684 1.000
  X                   0.500     0.4013     0.0376     0.0367     0.0111 0.256 1.000

 Intercepts
  Y                   0.000     0.0036     0.0753     0.0769     0.0057 0.958 0.042
  M                   0.000    -0.3046     0.0509     0.0521     0.0954 0.000 1.000

 Residual Variances
  Y                   0.750     0.7437     0.0556     0.0579     0.0031 0.952 1.000
  M                   0.500     0.3940     0.0330     0.0307     0.0123 0.120 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.710E-01
       (ratio of smallest to largest eigenvalue)


TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             TX            X
              ________      ________      ________      ________
      1           0             0             0             0


           LAMBDA
              Y             M             TX            X
              ________      ________      ________      ________
 Y                  0             0             0             0
 M                  0             0             0             0
 TX                 0             0             0             0
 X                  0             0             0             0


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


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


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


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


     STARTING VALUES


           NU
              Y             M             TX            X
              ________      ________      ________      ________
      1         0.000         0.000         0.000         0.000


           LAMBDA
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.000         0.000         0.000         0.000
 M              0.000         1.000         0.000         0.000
 TX             0.000         0.000         1.000         0.000
 X              0.000         0.000         0.000         1.000


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


           ALPHA
              Y             M             TX            X
              ________      ________      ________      ________
      1         0.000         0.000         0.542        -0.145


           BETA
              Y             M             TX            X
              ________      ________      ________      ________
 Y              0.000         1.000         0.000         0.000
 M              0.000         0.000        -0.500         0.500
 TX             0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              Y             M             TX            X
              ________      ________      ________      ________
 Y              0.750
 M              0.000         0.500
 TX             0.000         0.000         0.248
 X              0.000         0.000         0.056         1.005


DIAGRAM INFORMATION

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


     Beginning Time:  19:06:11
        Ending Time:  19:06:14
       Elapsed Time:  00:00:03



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