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

INPUT INSTRUCTIONS

  TITLE:	1 y plus 1 auxiliary z
  including z as if having a substantive role

  data:
      file = medreplist.dat;
      type = MONTECARLO;

  variable:
  	NAMES ARE y m z x;
      usev = y m z x;

      missing = y(999);

  MODEL:
    y on m*.5 x*0 z*0;
    m on x*.7 z*0;
      y*.75;
      m*.51;
      [y*0];
      [m*0];

  model indirect:
      y ind x;


  OUTPUT:	patterns TECH1;



*** WARNING in OUTPUT command
  PATTERNS option is the default for MONTECARLO.
*** WARNING in OUTPUT command
  TECH1 option is the default for MONTECARLO.
   2 WARNING(S) FOUND IN THE INPUT INSTRUCTIONS



1 y plus 1 auxiliary z
including z as if having a substantive role

SUMMARY OF ANALYSIS

Number of groups                                                 1
Average number of observations                                 200

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
   Z           X


Estimator                                                       ML
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
    medreplist.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
 Z         x  x
 X         x  x


     MISSING DATA PATTERN FREQUENCIES

    Pattern   Frequency     Pattern   Frequency
          1         151           2          49


COVARIANCE COVERAGE OF DATA FOR THE FIRST REPLICATION

Minimum covariance coverage value   0.100


     PROPORTION OF DATA PRESENT


           Covariance Coverage
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.755
 M              0.755         1.000
 Z              0.755         1.000         1.000
 X              0.755         1.000         1.000         1.000


SAMPLE STATISTICS

NOTE:  These are average results over 500 data sets.


     ESTIMATED SAMPLE STATISTICS


           Means
              Y             M             Z             X
              ________      ________      ________      ________
 1              0.170         0.349        -0.001         0.498


           Covariances
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.910
 M              0.320         0.630
 Z              0.754         0.502         1.003
 X              0.088         0.173        -0.001         0.249


           Correlations
              Y             M             Z             X
              ________      ________      ________      ________
 Y              1.000
 M              0.423         1.000
 Z              0.789         0.631         1.000
 X              0.185         0.436        -0.002         1.000


MODEL FIT INFORMATION

Number of Free Parameters                        9

Loglikelihood

    H0 Value

        Mean                              -259.670
        Std Dev                             14.625
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994         -293.691       -290.343
           0.980       0.988         -289.705       -287.535
           0.950       0.948         -283.726       -284.012
           0.900       0.906         -278.413       -278.167
           0.800       0.802         -271.978       -272.105
           0.700       0.684         -267.339       -267.694
           0.500       0.494         -259.670       -259.885
           0.300       0.284         -252.001       -252.823
           0.200       0.192         -247.362       -248.279
           0.100       0.100         -240.927       -240.986
           0.050       0.052         -235.614       -235.511
           0.020       0.024         -229.635       -228.324
           0.010       0.014         -225.648       -225.344

    H1 Value

        Mean                              -259.670
        Std Dev                             14.625
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.994         -293.691       -290.343
           0.980       0.988         -289.705       -287.535
           0.950       0.948         -283.726       -284.012
           0.900       0.906         -278.413       -278.167
           0.800       0.802         -271.978       -272.105
           0.700       0.684         -267.339       -267.694
           0.500       0.494         -259.670       -259.885
           0.300       0.284         -252.001       -252.823
           0.200       0.192         -247.362       -248.279
           0.100       0.100         -240.927       -240.986
           0.050       0.052         -235.614       -235.511
           0.020       0.024         -229.635       -228.324
           0.010       0.014         -225.648       -225.344

Information Criteria

    Akaike (AIC)

        Mean                               537.340
        Std Dev                             29.249
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986          469.297        465.200
           0.980       0.976          477.270        473.506
           0.950       0.948          489.227        488.376
           0.900       0.900          499.854        499.208
           0.800       0.808          512.723        513.938
           0.700       0.716          522.001        523.564
           0.500       0.506          537.340        537.554
           0.300       0.316          552.678        553.378
           0.200       0.198          561.956        561.758
           0.100       0.094          574.826        574.099
           0.050       0.052          585.452        585.464
           0.020       0.012          597.409        592.774
           0.010       0.006          605.383        598.664

    Bayesian (BIC)

        Mean                               567.025
        Std Dev                             29.249
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986          498.982        494.885
           0.980       0.976          506.955        503.191
           0.950       0.948          518.912        518.061
           0.900       0.900          529.539        528.893
           0.800       0.808          542.408        543.622
           0.700       0.716          551.686        553.249
           0.500       0.506          567.025        567.239
           0.300       0.316          582.363        583.063
           0.200       0.198          591.641        591.443
           0.100       0.094          604.511        603.784
           0.050       0.052          615.137        615.149
           0.020       0.012          627.094        622.458
           0.010       0.006          635.067        628.349

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

        Mean                               538.512
        Std Dev                             29.249
        Number of successful computations      500

             Proportions                   Percentiles
        Expected    Observed         Expected       Observed
           0.990       0.986          470.469        466.372
           0.980       0.976          478.442        474.678
           0.950       0.948          490.399        489.548
           0.900       0.900          501.026        500.380
           0.800       0.808          513.895        515.110
           0.700       0.716          523.173        524.736
           0.500       0.506          538.512        538.726
           0.300       0.316          553.850        554.550
           0.200       0.198          563.128        562.930
           0.100       0.094          575.998        575.271
           0.050       0.052          586.624        586.636
           0.020       0.012          598.581        593.946
           0.010       0.006          606.555        599.836

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       0.980            1.000          1.000
           0.980       0.962            1.000          1.000
           0.950       0.932            1.000          1.000
           0.900       0.894            1.000          1.000
           0.800       0.814            1.000          1.000
           0.700       0.756            1.000          1.000
           0.500       0.590            1.000          1.000
           0.300       0.326            1.000          1.000
           0.200       0.170            1.000          1.000
           0.100       0.046            1.000          1.000
           0.050       0.020            1.000          1.000
           0.020       0.006            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       0.980            0.000          0.000
           0.900       0.924            0.000          0.000
           0.800       0.798            0.000          0.000
           0.700       0.696            0.000          0.000
           0.500       0.450            0.000          0.000
           0.300       0.256            0.000          0.000
           0.200       0.184            0.000          0.000
           0.100       0.094            0.000          0.000
           0.050       0.048            0.000          0.000
           0.020       0.032            0.000          0.000
           0.010       0.022            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    -0.4572     0.0826     0.0802     0.9231 0.000 0.998
  X                   0.000     0.6744     0.0980     0.0987     0.4644 0.000 1.000
  Z                   0.000     0.9812     0.0663     0.0621     0.9672 0.000 1.000

 M        ON
  X                   0.700     0.6955     0.0686     0.0719     0.0047 0.950 1.000
  Z                   0.000     0.5008     0.0371     0.0359     0.2522 0.000 1.000

 Intercepts
  Y                   0.000    -0.0059     0.0622     0.0591     0.0039 0.930 0.070
  M                   0.000     0.0021     0.0514     0.0507     0.0026 0.950 0.050

 Residual Variances
  Y                   0.750     0.2521     0.0302     0.0287     0.2488 0.000 1.000
  M                   0.510     0.2564     0.0259     0.0256     0.0650 0.000 1.000


QUALITY OF NUMERICAL RESULTS

     Average Condition Number for the Information Matrix      0.314E-01
       (ratio of smallest to largest eigenvalue)


TOTAL, TOTAL INDIRECT, SPECIFIC INDIRECT, AND DIRECT EFFECTS


                              ESTIMATES              S. E.     M. S. E.  95%  % Sig
                 Population   Average   Std. Dev.   Average             Cover Coeff

Effects from X to Y

  Total               0.350     0.3561     0.0877     0.0878     0.0077 0.952 0.992
  Tot indirect        0.350    -0.3182     0.0667     0.0651     0.4510 0.000 0.998

 Specific indirect

  Y
  M
  X                   0.350    -0.3182     0.0667     0.0651     0.4510 0.000 0.998

 Direct
  Y
  X                   0.000     0.6744     0.0980     0.0987     0.4644 0.000 1.000



TECHNICAL 1 OUTPUT


     PARAMETER SPECIFICATION


           NU
              Y             M             Z             X
              ________      ________      ________      ________
      1           0             0             0             0


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


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


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


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


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


     STARTING VALUES


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


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


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


           ALPHA
              Y             M             Z             X
              ________      ________      ________      ________
      1         0.000         0.000         0.026         0.515


           BETA
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.000         0.500         0.000         0.000
 M              0.000         0.000         0.000         0.700
 Z              0.000         0.000         0.000         0.000
 X              0.000         0.000         0.000         0.000


           PSI
              Y             M             Z             X
              ________      ________      ________      ________
 Y              0.750
 M              0.000         0.510
 Z              0.000         0.000         0.895
 X              0.000         0.000         0.026         0.250


DIAGRAM INFORMATION

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


     Beginning Time:  19:06:36
        Ending Time:  19:06:39
       Elapsed Time:  00:00:03



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