Mplus VERSION 7.4
MUTHEN & MUTHEN
06/01/2016   7:05 PM

INPUT INSTRUCTIONS

  TITLE:	Example: MAR simulation

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

  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                                 500

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
Maximum number of iterations for H1                           2000
Convergence criterion for H1                             0.100D-03

Input data file(s)
  Multiple data files from
    n500mix00xreplist.dat

Input data format  FREE


SUMMARY OF DATA FOR THE FIRST REPLICATION

     Number of missing data patterns             2


SUMMARY OF MISSING DATA PATTERNS FOR THE FIRST REPLICATION


     MISSING DATA PATTERNS (x = not missing)

           1  2
 Y         x
 M         x  x
 TX        x  x
 X         x  x


     MISSING DATA PATTERN FREQUENCIES

    Pattern   Frequency     Pattern   Frequency
          1         319           2         181


COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              Y             M             TX            X
              ________      ________      ________      ________
 Y              0.638
 M              0.638         1.000
 TX             0.638         1.000         1.000
 X              0.638         1.000         1.000         1.000


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     ESTIMATED SAMPLE STATISTICS


           Means
              Y             M             TX            X
              ________      ________      ________      ________
 1             -0.249        -0.249         0.500         0.002


           Covariances
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.563
 M              0.812         0.812
 TX            -0.126        -0.124         0.249
 X              0.500         0.501         0.001         1.001


           Correlations
              Y             M             TX            X
              ________      ________      ________      ________
 Y              1.000
 M              0.721         1.000
 TX            -0.202        -0.277         1.000
 X              0.399         0.556         0.001         1.000


MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

    H0 Value

        Mean                              -950.329
        Std Dev                             22.870
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988        -1003.531      -1005.435
           0.980       0.986         -997.297       -995.047
           0.950       0.952         -987.948       -987.906
           0.900       0.900         -979.639       -980.898
           0.800       0.784         -969.576       -970.172
           0.700       0.680         -962.322       -962.970
           0.500       0.516         -950.329       -949.698
           0.300       0.294         -938.336       -938.665
           0.200       0.212         -931.082       -929.737
           0.100       0.116         -921.019       -920.144
           0.050       0.052         -912.710       -912.400
           0.020       0.022         -903.361       -903.085
           0.010       0.004         -897.127       -900.815

    H1 Value

        Mean                              -950.329
        Std Dev                             22.870
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.988        -1003.531      -1005.435
           0.980       0.986         -997.297       -995.047
           0.950       0.952         -987.948       -987.906
           0.900       0.900         -979.639       -980.898
           0.800       0.784         -969.576       -970.172
           0.700       0.680         -962.322       -962.970
           0.500       0.516         -950.329       -949.698
           0.300       0.294         -938.336       -938.665
           0.200       0.212         -931.082       -929.737
           0.100       0.116         -921.019       -920.144
           0.050       0.052         -912.710       -912.400
           0.020       0.022         -903.361       -903.085
           0.010       0.004         -897.127       -900.815

Information Criteria

    Akaike (AIC)

        Mean                              1918.658
        Std Dev                             45.740
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.996         1812.254       1816.891
           0.980       0.978         1824.722       1823.844
           0.950       0.948         1843.421       1840.384
           0.900       0.884         1860.038       1857.773
           0.800       0.788         1880.163       1876.765
           0.700       0.706         1894.672       1895.083
           0.500       0.484         1918.658       1917.392
           0.300       0.320         1942.644       1943.929
           0.200       0.216         1957.152       1957.856
           0.100       0.100         1977.278       1976.789
           0.050       0.048         1993.895       1992.245
           0.020       0.014         2012.594       2007.567
           0.010       0.012         2025.062       2027.424

    Bayesian (BIC)

        Mean                              1956.589
        Std Dev                             45.740
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.996         1850.185       1854.823
           0.980       0.978         1862.654       1861.775
           0.950       0.948         1881.352       1878.316
           0.900       0.884         1897.969       1895.704
           0.800       0.788         1918.095       1914.697
           0.700       0.706         1932.604       1933.015
           0.500       0.484         1956.589       1955.323
           0.300       0.320         1980.575       1981.860
           0.200       0.216         1995.084       1995.787
           0.100       0.100         2015.209       2014.721
           0.050       0.048         2031.827       2030.177
           0.020       0.014         2050.525       2045.498
           0.010       0.012         2062.994       2065.355

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

        Mean                              1928.023
        Std Dev                             45.740
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.996         1821.619       1826.256
           0.980       0.978         1834.087       1833.209
           0.950       0.948         1852.786       1849.749
           0.900       0.884         1869.403       1867.138
           0.800       0.788         1889.528       1886.130
           0.700       0.706         1904.037       1904.448
           0.500       0.484         1928.023       1926.756
           0.300       0.320         1952.009       1953.294
           0.200       0.216         1966.517       1967.221
           0.100       0.100         1986.643       1986.154
           0.050       0.048         2003.260       2001.610
           0.020       0.014         2021.958       2016.932
           0.010       0.012         2034.427       2036.789

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       0.986            1.000          1.000
           0.980       0.962            1.000          1.000
           0.950       0.940            1.000          1.000
           0.900       0.904            1.000          1.000
           0.800       0.802            1.000          1.000
           0.700       0.696            1.000          1.000
           0.500       0.532            1.000          1.000
           0.300       0.306            1.000          1.000
           0.200       0.198            1.000          1.000
           0.100       0.090            1.000          1.000
           0.050       0.046            1.000          1.000
           0.020       0.012            1.000          1.000
           0.010       0.006            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       1.000            0.000          0.000
           0.950       0.996            0.000          0.000
           0.900       0.970            0.000          0.000
           0.800       0.812            0.000          0.000
           0.700       0.650            0.000          0.000
           0.500       0.414            0.000          0.000
           0.300       0.256            0.000          0.000
           0.200       0.176            0.000          0.000
           0.100       0.100            0.000          0.000
           0.050       0.080            0.000          0.000
           0.020       0.048            0.000          0.000
           0.010       0.034            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     0.0759     0.0756     0.0058 0.946 1.000
  TX                  0.000    -0.0082     0.0977     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    -0.5001     0.0653     0.0631     0.0043 0.936 1.000
  X                   0.500     0.5008     0.0315     0.0315     0.0010 0.952 1.000

 Intercepts
  Y                   0.000     0.0036     0.0753     0.0769     0.0057 0.958 0.042
  M                   0.000     0.0010     0.0462     0.0447     0.0021 0.944 0.056

 Residual Variances
  Y                   0.750     0.7437     0.0556     0.0579     0.0031 0.952 1.000
  M                   0.500     0.4966     0.0316     0.0311     0.0010 0.946 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.665E-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         0.516         0.053


           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         0.250
 X              0.000         0.000         0.034         1.002


DIAGRAM INFORMATION

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


     Beginning Time:  19:05:57
        Ending Time:  19:06:01
       Elapsed Time:  00:00:04



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